id	sid	tid	token	lemma	pos
iajs-643	1	1	347	347	NUM
iajs-643	1	2	صرفة	صرفة	NOUN
iajs-643	1	3	و	و	PRON
iajs-643	1	4	التطبيقيةمجلة	التطبيقيةمجلة	VERB
iajs-643	1	5	إبن	إبن	NOUN
iajs-643	1	6	الهيثم	الهيثم	ADJ
iajs-643	1	7	للعلوم	للعلوم	NOUN
iajs-643	1	8	ال	ال	ADP
iajs-643	1	9	2012	2012	NUM
iajs-643	1	10	السنة	السنة	NOUN
iajs-643	1	11	25	25	NUM
iajs-643	1	12	المجلد	المجلد	NOUN
iajs-643	1	13	2	2	NUM
iajs-643	1	14	العدد	العدد	PROPN
iajs-643	1	15	ibn	ibn	PROPN
iajs-643	1	16	al	al	PROPN
iajs-643	1	17	-	-	PUNCT
iajs-643	1	18	haitham	haitham	PROPN
iajs-643	1	19	journal	journal	PROPN
iajs-643	1	20	for	for	ADP
iajs-643	1	21	pure	pure	ADJ
iajs-643	1	22	and	and	CCONJ
iajs-643	1	23	applied	apply	VERB
iajs-643	1	24	science	science	NOUN
iajs-643	1	25	no	no	NOUN
iajs-643	1	26	.	.	NOUN
iajs-643	1	27	2	2	NUM
iajs-643	1	28	vol	vol	NOUN
iajs-643	1	29	.	.	PUNCT
iajs-643	2	1	25	25	NUM
iajs-643	2	2	year	year	NOUN
iajs-643	2	3	2012	2012	NUM
iajs-643	2	4	the	the	DET
iajs-643	2	5	commutator	commutator	NOUN
iajs-643	2	6	of	of	ADP
iajs-643	2	7	two	two	NUM
iajs-643	2	8	fuzzy	fuzzy	ADJ
iajs-643	2	9	subsets	subset	NOUN
iajs-643	2	10	l.	l.	PROPN
iajs-643	2	11	n.	n.	PROPN
iajs-643	2	12	m.	m.	PROPN
iajs-643	2	13	tawfiq	tawfiq	PROPN
iajs-643	2	14	,	,	PUNCT
iajs-643	2	15	r.	r.	PROPN
iajs-643	2	16	h.	h.	PROPN
iajs-643	2	17	shihab	shihab	PROPN
iajs-643	2	18	department	department	PROPN
iajs-643	2	19	of	of	ADP
iajs-643	2	20	mathematics	mathematics	PROPN
iajs-643	2	21	,	,	PUNCT
iajs-643	2	22	college	college	NOUN
iajs-643	2	23	of	of	ADP
iajs-643	2	24	education	education	PROPN
iajs-643	2	25	ibn	ibn	PROPN
iajs-643	2	26	al	al	PROPN
iajs-643	2	27	-	-	PUNCT
iajs-643	2	28	haitham	haitham	PROPN
iajs-643	2	29	,	,	PUNCT
iajs-643	2	30	university	university	NOUN
iajs-643	2	31	of	of	ADP
iajs-643	2	32	baghdad	baghdad	PROPN
iajs-643	2	33	.	.	PUNCT
iajs-643	3	1	received	receive	VERB
iajs-643	3	2	in:2	in:2	PROPN
iajs-643	3	3	march	march	PROPN
iajs-643	3	4	2011	2011	NUM
iajs-643	3	5	accepted	accept	VERB
iajs-643	3	6	in	in	ADP
iajs-643	3	7	:	:	PUNCT
iajs-643	3	8	12	12	NUM
iajs-643	3	9	april	april	PROPN
iajs-643	3	10	2011	2011	NUM
iajs-643	3	11	abstract	abstract	NOUN
iajs-643	3	12	in	in	ADP
iajs-643	3	13	this	this	DET
iajs-643	3	14	paper	paper	NOUN
iajs-643	3	15	we	we	PRON
iajs-643	3	16	introduce	introduce	VERB
iajs-643	3	17	the	the	DET
iajs-643	3	18	idea	idea	NOUN
iajs-643	3	19	of	of	ADP
iajs-643	3	20	the	the	DET
iajs-643	3	21	commutator	commutator	NOUN
iajs-643	3	22	of	of	ADP
iajs-643	3	23	two	two	NUM
iajs-643	3	24	fuzzy	fuzzy	ADJ
iajs-643	3	25	subsets	subset	NOUN
iajs-643	3	26	of	of	ADP
iajs-643	3	27	a	a	DET
iajs-643	3	28	group	group	NOUN
iajs-643	3	29	and	and	CCONJ
iajs-643	3	30	study	study	VERB
iajs-643	3	31	the	the	DET
iajs-643	3	32	concept	concept	NOUN
iajs-643	3	33	of	of	ADP
iajs-643	3	34	the	the	DET
iajs-643	3	35	commutator	commutator	NOUN
iajs-643	3	36	of	of	ADP
iajs-643	3	37	two	two	NUM
iajs-643	3	38	fuzzy	fuzzy	ADJ
iajs-643	3	39	subsets	subset	NOUN
iajs-643	3	40	of	of	ADP
iajs-643	3	41	a	a	DET
iajs-643	3	42	group	group	NOUN
iajs-643	3	43	.we	.we	PUNCT
iajs-643	3	44	introduce	introduce	VERB
iajs-643	3	45	and	and	CCONJ
iajs-643	3	46	study	study	VERB
iajs-643	3	47	some	some	PRON
iajs-643	3	48	of	of	ADP
iajs-643	3	49	its	its	PRON
iajs-643	3	50	properties	property	NOUN
iajs-643	3	51	.	.	PUNCT
iajs-643	4	1	key	key	ADJ
iajs-643	4	2	ward	ward	NOUN
iajs-643	4	3	:	:	PUNCT
iajs-643	4	4	fuzzy	fuzzy	ADJ
iajs-643	4	5	set	set	VERB
iajs-643	4	6	,	,	PUNCT
iajs-643	4	7	fuzzy	fuzzy	ADJ
iajs-643	4	8	group	group	NOUN
iajs-643	4	9	,	,	PUNCT
iajs-643	4	10	normal	normal	ADJ
iajs-643	4	11	fuzzy	fuzzy	ADJ
iajs-643	4	12	subgroup	subgroup	NOUN
iajs-643	4	13	.	.	PUNCT
iajs-643	5	1	1.introduction	1.introduction	NUM
iajs-643	5	2	applying	apply	VERB
iajs-643	5	3	the	the	DET
iajs-643	5	4	concept	concept	NOUN
iajs-643	5	5	of	of	ADP
iajs-643	5	6	fuzzy	fuzzy	ADJ
iajs-643	5	7	sets	set	NOUN
iajs-643	5	8	of	of	ADP
iajs-643	5	9	zadeh	zadeh	PROPN
iajs-643	5	10	to	to	ADP
iajs-643	5	11	the	the	DET
iajs-643	5	12	group	group	NOUN
iajs-643	5	13	theory	theory	NOUN
iajs-643	5	14	,	,	PUNCT
iajs-643	5	15	rosenfeld	rosenfeld	PROPN
iajs-643	5	16	introduced	introduce	VERB
iajs-643	5	17	the	the	DET
iajs-643	5	18	notion	notion	NOUN
iajs-643	5	19	of	of	ADP
iajs-643	5	20	a	a	DET
iajs-643	5	21	fuzzy	fuzzy	ADJ
iajs-643	5	22	group	group	NOUN
iajs-643	5	23	as	as	ADV
iajs-643	5	24	early	early	ADV
iajs-643	5	25	as	as	ADP
iajs-643	5	26	1971	1971	NUM
iajs-643	5	27	.	.	PUNCT
iajs-643	6	1	the	the	DET
iajs-643	6	2	technique	technique	NOUN
iajs-643	6	3	of	of	ADP
iajs-643	6	4	generating	generate	VERB
iajs-643	6	5	a	a	DET
iajs-643	6	6	fuzzy	fuzzy	ADJ
iajs-643	6	7	group	group	NOUN
iajs-643	6	8	(	(	PUNCT
iajs-643	6	9	the	the	DET
iajs-643	6	10	smallest	small	ADJ
iajs-643	6	11	fuzzy	fuzzy	ADJ
iajs-643	6	12	group	group	NOUN
iajs-643	6	13	)	)	PUNCT
iajs-643	6	14	containing	contain	VERB
iajs-643	6	15	an	an	DET
iajs-643	6	16	arbitrarily	arbitrarily	ADV
iajs-643	6	17	chosen	choose	VERB
iajs-643	6	18	fuzzy	fuzzy	ADJ
iajs-643	6	19	set	set	NOUN
iajs-643	6	20	was	be	AUX
iajs-643	6	21	developed	develop	VERB
iajs-643	6	22	only	only	ADV
iajs-643	6	23	in	in	ADP
iajs-643	6	24	1992	1992	NUM
iajs-643	6	25	by	by	ADP
iajs-643	6	26	malik	malik	PROPN
iajs-643	6	27	,	,	PUNCT
iajs-643	6	28	mordeson	mordeson	NOUN
iajs-643	6	29	and	and	CCONJ
iajs-643	6	30	nair	nair	NOUN
iajs-643	6	31	,	,	PUNCT
iajs-643	6	32	[	[	X
iajs-643	6	33	1	1	NUM
iajs-643	6	34	]	]	PUNCT
iajs-643	6	35	.	.	PUNCT
iajs-643	7	1	in	in	ADP
iajs-643	7	2	this	this	DET
iajs-643	7	3	paper	paper	NOUN
iajs-643	7	4	,	,	PUNCT
iajs-643	7	5	we	we	PRON
iajs-643	7	6	use	use	VERB
iajs-643	7	7	our	our	PRON
iajs-643	7	8	notion	notion	NOUN
iajs-643	7	9	of	of	ADP
iajs-643	7	10	commutator	commutator	NOUN
iajs-643	7	11	of	of	ADP
iajs-643	7	12	two	two	NUM
iajs-643	7	13	fuzzy	fuzzy	ADJ
iajs-643	7	14	subsets	subset	NOUN
iajs-643	7	15	of	of	ADP
iajs-643	7	16	a	a	DET
iajs-643	7	17	group	group	NOUN
iajs-643	7	18	.	.	PUNCT
iajs-643	8	1	now	now	ADV
iajs-643	8	2	we	we	PRON
iajs-643	8	3	introduce	introduce	VERB
iajs-643	8	4	the	the	DET
iajs-643	8	5	following	follow	VERB
iajs-643	8	6	definitions	definition	NOUN
iajs-643	8	7	which	which	PRON
iajs-643	8	8	is	be	AUX
iajs-643	8	9	necessary	necessary	ADJ
iajs-643	8	10	and	and	CCONJ
iajs-643	8	11	needed	need	VERB
iajs-643	8	12	in	in	ADP
iajs-643	8	13	the	the	DET
iajs-643	8	14	next	next	ADJ
iajs-643	8	15	section	section	NOUN
iajs-643	8	16	:	:	PUNCT
iajs-643	8	17	definition	definition	NOUN
iajs-643	8	18	1.1	1.1	NUM
iajs-643	8	19	[	[	X
iajs-643	8	20	1	1	NUM
iajs-643	8	21	]	]	PUNCT
iajs-643	8	22	,	,	PUNCT
iajs-643	8	23	[	[	X
iajs-643	8	24	2	2	X
iajs-643	8	25	]	]	PUNCT
iajs-643	8	26	a	a	DET
iajs-643	8	27	mapping	mapping	NOUN
iajs-643	8	28	from	from	ADP
iajs-643	8	29	a	a	DET
iajs-643	8	30	nonempty	nonempty	ADV
iajs-643	8	31	set	set	VERB
iajs-643	8	32	x	x	INTJ
iajs-643	8	33	to	to	ADP
iajs-643	8	34	the	the	DET
iajs-643	8	35	interval	interval	NOUN
iajs-643	8	36	[	[	X
iajs-643	8	37	0	0	NUM
iajs-643	8	38	,	,	PUNCT
iajs-643	8	39	1	1	NUM
iajs-643	8	40	]	]	PUNCT
iajs-643	8	41	is	be	AUX
iajs-643	8	42	called	call	VERB
iajs-643	8	43	a	a	DET
iajs-643	8	44	fuzzy	fuzzy	ADJ
iajs-643	8	45	subset	subset	NOUN
iajs-643	8	46	of	of	ADP
iajs-643	8	47	x	x	X
iajs-643	8	48	.	.	PUNCT
iajs-643	9	1	next	next	ADV
iajs-643	9	2	,	,	PUNCT
iajs-643	9	3	we	we	PRON
iajs-643	9	4	shall	shall	AUX
iajs-643	9	5	give	give	VERB
iajs-643	9	6	some	some	DET
iajs-643	9	7	definitions	definition	NOUN
iajs-643	9	8	and	and	CCONJ
iajs-643	9	9	concepts	concept	NOUN
iajs-643	9	10	related	relate	VERB
iajs-643	9	11	to	to	ADP
iajs-643	9	12	fuzzy	fuzzy	ADJ
iajs-643	9	13	subsets	subset	NOUN
iajs-643	9	14	of	of	ADP
iajs-643	9	15	g.	g.	PROPN
iajs-643	9	16	definition	definition	NOUN
iajs-643	9	17	1.2	1.2	NUM
iajs-643	9	18	let	let	VERB
iajs-643	9	19	v	v	NOUN
iajs-643	9	20	,	,	PUNCT
iajs-643	9	21	m	m	VERB
iajs-643	9	22	be	be	VERB
iajs-643	9	23	fuzzy	fuzzy	ADJ
iajs-643	9	24	subsets	subset	NOUN
iajs-643	9	25	of	of	ADP
iajs-643	9	26	g	g	NOUN
iajs-643	9	27	,	,	PUNCT
iajs-643	9	28	if	if	SCONJ
iajs-643	9	29	(	(	PUNCT
iajs-643	9	30	)	)	PUNCT
iajs-643	9	31	(	(	PUNCT
iajs-643	9	32	)	)	PUNCT
iajs-643	9	33	xvx	xvx	PROPN
iajs-643	10	1	£	£	PROPN
iajs-643	10	2	m	m	PROPN
iajs-643	10	3	for	for	ADP
iajs-643	10	4	every	every	DET
iajs-643	10	5	gx	gx	PROPN
iajs-643	10	6	î	î	PROPN
iajs-643	10	7	,	,	PUNCT
iajs-643	10	8	then	then	ADV
iajs-643	10	9	we	we	PRON
iajs-643	10	10	say	say	VERB
iajs-643	10	11	that	that	SCONJ
iajs-643	10	12	m	m	NOUN
iajs-643	10	13	is	be	AUX
iajs-643	10	14	contained	contain	VERB
iajs-643	10	15	in	in	ADP
iajs-643	10	16	v	v	NOUN
iajs-643	10	17	(	(	PUNCT
iajs-643	10	18	or	or	CCONJ
iajs-643	10	19	v	v	NOUN
iajs-643	10	20	contains	contain	VERB
iajs-643	10	21	m	m	PRON
iajs-643	10	22	)	)	PUNCT
iajs-643	10	23	and	and	CCONJ
iajs-643	10	24	we	we	PRON
iajs-643	10	25	write	write	VERB
iajs-643	10	26	vím	vím	NOUN
iajs-643	10	27	(	(	PUNCT
iajs-643	10	28	or	or	CCONJ
iajs-643	10	29	mn	mn	PROPN
iajs-643	10	30	ê	ê	PROPN
iajs-643	10	31	)	)	PUNCT
iajs-643	10	32	.	.	PUNCT
iajs-643	11	1	if	if	SCONJ
iajs-643	11	2	vím	vím	NOUN
iajs-643	11	3	and	and	CCONJ
iajs-643	11	4	v¹m	v¹m	PROPN
iajs-643	11	5	,	,	PUNCT
iajs-643	11	6	then	then	ADV
iajs-643	11	7	m	m	VERB
iajs-643	11	8	is	be	AUX
iajs-643	11	9	said	say	VERB
iajs-643	11	10	to	to	PART
iajs-643	11	11	be	be	AUX
iajs-643	11	12	properly	properly	ADV
iajs-643	11	13	contained	contain	VERB
iajs-643	11	14	in	in	ADP
iajs-643	11	15	v	v	NOUN
iajs-643	11	16	(	(	PUNCT
iajs-643	11	17	or	or	CCONJ
iajs-643	11	18	v	v	NOUN
iajs-643	11	19	properly	properly	ADV
iajs-643	11	20	contains	contain	VERB
iajs-643	11	21	m	m	PROPN
iajs-643	11	22	)	)	PUNCT
iajs-643	11	23	and	and	CCONJ
iajs-643	11	24	we	we	PRON
iajs-643	11	25	write	write	VERB
iajs-643	11	26	vìm	vìm	PROPN
iajs-643	11	27	(	(	PUNCT
iajs-643	11	28	or	or	CCONJ
iajs-643	11	29	mn	mn	PROPN
iajs-643	11	30	é	é	PROPN
iajs-643	11	31	)	)	PUNCT
iajs-643	11	32	.[3	.[3	NOUN
iajs-643	11	33	]	]	PUNCT
iajs-643	11	34	note	note	VERB
iajs-643	11	35	that	that	SCONJ
iajs-643	11	36	:	:	PUNCT
iajs-643	11	37	v	v	X
iajs-643	11	38	=	=	NOUN
iajs-643	11	39	m	m	NOUN
iajs-643	11	40	if	if	SCONJ
iajs-643	11	41	and	and	CCONJ
iajs-643	11	42	only	only	ADV
iajs-643	11	43	if	if	SCONJ
iajs-643	11	44	(	(	PUNCT
iajs-643	11	45	)	)	PUNCT
iajs-643	11	46	(	(	PUNCT
iajs-643	11	47	)	)	PUNCT
iajs-643	11	48	xvx	xvx	PROPN
iajs-643	12	1	=	=	PROPN
iajs-643	12	2	m	m	PROPN
iajs-643	12	3	for	for	ADP
iajs-643	12	4	all	all	DET
iajs-643	12	5	gx	gx	PROPN
iajs-643	12	6	î	î	PROPN
iajs-643	12	7	.[4	.[4	PROPN
iajs-643	12	8	]	]	PUNCT
iajs-643	12	9	definition	definition	NOUN
iajs-643	12	10	1.3	1.3	NUM
iajs-643	13	1	[	[	X
iajs-643	13	2	3	3	NUM
iajs-643	13	3	]	]	PUNCT
iajs-643	13	4	let	let	NOUN
iajs-643	13	5	v	v	NOUN
iajs-643	13	6	,	,	PUNCT
iajs-643	13	7	m	m	VERB
iajs-643	13	8	be	be	VERB
iajs-643	13	9	two	two	NUM
iajs-643	13	10	fuzzy	fuzzy	ADJ
iajs-643	13	11	subsets	subset	NOUN
iajs-643	13	12	of	of	ADP
iajs-643	13	13	g.	g.	PROPN
iajs-643	14	1	then	then	ADV
iajs-643	14	2	v	v	PROPN
iajs-643	14	3	and	and	CCONJ
iajs-643	14	4	vm	vm	PROPN
iajs-643	14	5	mè	mè	PROPN
iajs-643	14	6	ç	ç	PROPN
iajs-643	14	7	are	be	AUX
iajs-643	14	8	fuzzy	fuzzy	ADJ
iajs-643	14	9	subsets	subset	NOUN
iajs-643	14	10	as	as	SCONJ
iajs-643	14	11	follows	follow	VERB
iajs-643	14	12	:	:	PUNCT
iajs-643	14	13	(	(	PUNCT
iajs-643	14	14	i	i	NOUN
iajs-643	14	15	)	)	PUNCT
iajs-643	14	16	(	(	PUNCT
iajs-643	14	17	)	)	PUNCT
iajs-643	14	18	{	{	PUNCT
iajs-643	14	19	}	}	PUNCT
iajs-643	14	20	)	)	PUNCT
iajs-643	14	21	(	(	PUNCT
iajs-643	14	22	)	)	PUNCT
iajs-643	14	23	,	,	PUNCT
iajs-643	14	24	(	(	PUNCT
iajs-643	14	25	max	max	PROPN
iajs-643	14	26	)	)	PUNCT
iajs-643	14	27	(	(	PUNCT
iajs-643	15	1	xvxxv	xvxxv	PROPN
iajs-643	15	2	mm	mm	PROPN
iajs-643	16	1	=	=	NOUN
iajs-643	16	2	è	è	NOUN
iajs-643	16	3	348	348	NUM
iajs-643	16	4	صرفة	صرفة	NOUN
iajs-643	16	5	و	و	PRON
iajs-643	16	6	التطبيقيةمجلة	التطبيقيةمجلة	VERB
iajs-643	16	7	إبن	إبن	NOUN
iajs-643	16	8	الهيثم	الهيثم	ADJ
iajs-643	16	9	للعلوم	للعلوم	NOUN
iajs-643	16	10	ال	ال	ADP
iajs-643	16	11	2012	2012	NUM
iajs-643	16	12	السنة	السنة	NOUN
iajs-643	16	13	25	25	NUM
iajs-643	16	14	المجلد	المجلد	NOUN
iajs-643	16	15	2	2	NUM
iajs-643	16	16	العدد	العدد	PROPN
iajs-643	16	17	ibn	ibn	PROPN
iajs-643	16	18	al	al	PROPN
iajs-643	16	19	-	-	PUNCT
iajs-643	16	20	haitham	haitham	PROPN
iajs-643	16	21	journal	journal	PROPN
iajs-643	16	22	for	for	ADP
iajs-643	16	23	pure	pure	ADJ
iajs-643	16	24	and	and	CCONJ
iajs-643	16	25	applied	apply	VERB
iajs-643	16	26	science	science	NOUN
iajs-643	16	27	no	no	NOUN
iajs-643	16	28	.	.	NOUN
iajs-643	16	29	2	2	NUM
iajs-643	16	30	vol	vol	NOUN
iajs-643	16	31	.	.	PUNCT
iajs-643	17	1	25	25	NUM
iajs-643	17	2	year	year	NOUN
iajs-643	17	3	2012	2012	NUM
iajs-643	17	4	(	(	PUNCT
iajs-643	17	5	i	i	NOUN
iajs-643	17	6	)	)	PUNCT
iajs-643	17	7	(	(	PUNCT
iajs-643	17	8	)	)	PUNCT
iajs-643	17	9	{	{	PUNCT
iajs-643	17	10	}	}	PUNCT
iajs-643	17	11	)	)	PUNCT
iajs-643	17	12	(	(	PUNCT
iajs-643	17	13	)	)	PUNCT
iajs-643	17	14	,	,	PUNCT
iajs-643	17	15	(	(	PUNCT
iajs-643	17	16	min	min	NOUN
iajs-643	17	17	)	)	PUNCT
iajs-643	17	18	(	(	PUNCT
iajs-643	17	19	xvxxv	xvxxv	PROPN
iajs-643	17	20	mm	mm	PROPN
iajs-643	17	21	=	=	SYM
iajs-643	17	22	ç	ç	PROPN
iajs-643	17	23	,	,	PUNCT
iajs-643	17	24	for	for	ADP
iajs-643	17	25	all	all	PRON
iajs-643	17	26	gx	gx	PROPN
iajs-643	17	27	î	î	PROPN
iajs-643	17	28	then	then	ADV
iajs-643	17	29	vandv	vandv	X
iajs-643	17	30	çè	çè	ADP
iajs-643	17	31	mm	mm	PROPN
iajs-643	17	32	are	be	AUX
iajs-643	17	33	called	call	VERB
iajs-643	17	34	the	the	DET
iajs-643	17	35	union	union	NOUN
iajs-643	17	36	and	and	CCONJ
iajs-643	17	37	intersection	intersection	NOUN
iajs-643	17	38	of	of	ADP
iajs-643	17	39	m	m	PROPN
iajs-643	17	40	and	and	CCONJ
iajs-643	17	41	v	v	NOUN
iajs-643	17	42	,	,	PUNCT
iajs-643	17	43	respectively	respectively	ADV
iajs-643	17	44	.	.	PUNCT
iajs-643	18	1	definition	definition	NOUN
iajs-643	18	2	1.4[5	1.4[5	NUM
iajs-643	18	3	]	]	PUNCT
iajs-643	18	4	for	for	ADP
iajs-643	18	5	v	v	NOUN
iajs-643	18	6	,	,	PUNCT
iajs-643	18	7	m	m	VERB
iajs-643	18	8	are	be	AUX
iajs-643	18	9	two	two	NUM
iajs-643	18	10	fuzzy	fuzzy	ADJ
iajs-643	18	11	subsets	subset	NOUN
iajs-643	18	12	of	of	ADP
iajs-643	18	13	g	g	NOUN
iajs-643	18	14	,	,	PUNCT
iajs-643	18	15	we	we	PRON
iajs-643	18	16	define	define	VERB
iajs-643	18	17	the	the	DET
iajs-643	18	18	operation	operation	NOUN
iajs-643	18	19	vom	vom	NOUN
iajs-643	18	20	as	as	SCONJ
iajs-643	18	21	follows	follow	VERB
iajs-643	18	22	:	:	PUNCT
iajs-643	18	23	(	(	PUNCT
iajs-643	18	24	)	)	PUNCT
iajs-643	18	25	(	(	PUNCT
iajs-643	18	26	)	)	PUNCT
iajs-643	18	27	{	{	PUNCT
iajs-643	18	28	{	{	PUNCT
iajs-643	18	29	}	}	PUNCT
iajs-643	18	30	}	}	PUNCT
iajs-643	18	31	v	v	NOUN
iajs-643	18	32	x	x	SYM
iajs-643	18	33	sup	sup	NOUN
iajs-643	18	34	min	min	NOUN
iajs-643	18	35	(	(	PUNCT
iajs-643	18	36	a	a	NOUN
iajs-643	18	37	)	)	PUNCT
iajs-643	18	38	,	,	PUNCT
iajs-643	18	39	v	v	NOUN
iajs-643	18	40	(	(	PUNCT
iajs-643	18	41	b	b	NOUN
iajs-643	18	42	)	)	PUNCT
iajs-643	18	43	a	a	PRON
iajs-643	18	44	,	,	PUNCT
iajs-643	18	45	b	b	NOUN
iajs-643	18	46	g	g	NOUN
iajs-643	19	1	and	and	CCONJ
iajs-643	19	2	x	x	SYM
iajs-643	19	3	a	a	PROPN
iajs-643	19	4	*	*	PUNCT
iajs-643	19	5	bm	bm	X
iajs-643	19	6	m=	m=	X
iajs-643	19	7	î	î	PROPN
iajs-643	19	8	=	=	X
iajs-643	19	9	o	o	NOUN
iajs-643	19	10	for	for	ADP
iajs-643	19	11	all	all	PRON
iajs-643	19	12	gx	gx	PROPN
iajs-643	19	13	î	î	PROPN
iajs-643	19	14	.	.	PUNCT
iajs-643	20	1	we	we	PRON
iajs-643	20	2	call	call	VERB
iajs-643	20	3	vom	vom	VERB
iajs-643	20	4	the	the	DET
iajs-643	20	5	product	product	NOUN
iajs-643	20	6	of	of	ADP
iajs-643	20	7	m	m	PROPN
iajs-643	20	8	and	and	CCONJ
iajs-643	20	9	v	v	NOUN
iajs-643	20	10	.	.	PUNCT
iajs-643	21	1	now	now	ADV
iajs-643	21	2	,	,	PUNCT
iajs-643	21	3	we	we	PRON
iajs-643	21	4	are	be	AUX
iajs-643	21	5	ready	ready	ADJ
iajs-643	21	6	to	to	PART
iajs-643	21	7	give	give	VERB
iajs-643	21	8	the	the	DET
iajs-643	21	9	definition	definition	NOUN
iajs-643	21	10	of	of	ADP
iajs-643	21	11	a	a	DET
iajs-643	21	12	fuzzy	fuzzy	ADJ
iajs-643	21	13	subgroup	subgroup	NOUN
iajs-643	21	14	of	of	ADP
iajs-643	21	15	a	a	DET
iajs-643	21	16	group	group	NOUN
iajs-643	21	17	.	.	PUNCT
iajs-643	22	1	definition	definition	NOUN
iajs-643	22	2	1.5[1	1.5[1	NUM
iajs-643	22	3	]	]	PUNCT
iajs-643	22	4	,	,	PUNCT
iajs-643	22	5	[	[	X
iajs-643	22	6	6	6	NUM
iajs-643	22	7	]	]	PUNCT
iajs-643	22	8	a	a	DET
iajs-643	22	9	fuzzy	fuzzy	ADJ
iajs-643	22	10	subset	subset	NOUN
iajs-643	22	11	m	m	NOUN
iajs-643	22	12	of	of	ADP
iajs-643	22	13	a	a	DET
iajs-643	22	14	group	group	NOUN
iajs-643	22	15	g	g	NOUN
iajs-643	22	16	is	be	AUX
iajs-643	22	17	a	a	DET
iajs-643	22	18	fuzzy	fuzzy	ADJ
iajs-643	22	19	subgroup	subgroup	NOUN
iajs-643	22	20	of	of	ADP
iajs-643	22	21	g	g	PROPN
iajs-643	22	22	if	if	SCONJ
iajs-643	22	23	:	:	PUNCT
iajs-643	22	24	(	(	PUNCT
iajs-643	22	25	i	i	NOUN
iajs-643	22	26	)	)	PUNCT
iajs-643	22	27	(	(	PUNCT
iajs-643	22	28	)	)	PUNCT
iajs-643	22	29	(	(	PUNCT
iajs-643	22	30	)	)	PUNCT
iajs-643	22	31	{	{	PUNCT
iajs-643	22	32	}	}	PUNCT
iajs-643	22	33	(	(	PUNCT
iajs-643	22	34	)	)	PUNCT
iajs-643	22	35	min	min	PROPN
iajs-643	22	36	a	a	PRON
iajs-643	22	37	,	,	PUNCT
iajs-643	22	38	b	b	PROPN
iajs-643	22	39	a	a	X
iajs-643	22	40	*	*	PUNCT
iajs-643	22	41	bm	bm	PROPN
iajs-643	22	42	m	m	VERB
iajs-643	22	43	m£	m£	ADV
iajs-643	22	44	(	(	PUNCT
iajs-643	22	45	ii	ii	NOUN
iajs-643	22	46	)	)	PUNCT
iajs-643	22	47	(	(	PUNCT
iajs-643	22	48	)	)	PUNCT
iajs-643	22	49	(	(	PUNCT
iajs-643	22	50	)	)	PUNCT
iajs-643	22	51	aa	aa	INTJ
iajs-643	22	52	mm	mm	INTJ
iajs-643	22	53	=	=	NOUN
iajs-643	22	54	-1	-1	NOUN
iajs-643	22	55	,	,	PUNCT
iajs-643	22	56	for	for	ADP
iajs-643	22	57	all	all	DET
iajs-643	22	58	gba	gba	PROPN
iajs-643	22	59	î	î	PROPN
iajs-643	22	60	,	,	PUNCT
iajs-643	22	61	.	.	PUNCT
iajs-643	23	1	theorem	theorem	VERB
iajs-643	23	2	1.6	1.6	NUM
iajs-643	23	3	[	[	X
iajs-643	23	4	3	3	X
iajs-643	23	5	]	]	X
iajs-643	23	6	if	if	SCONJ
iajs-643	23	7	m	m	NOUN
iajs-643	23	8	is	be	AUX
iajs-643	23	9	a	a	DET
iajs-643	23	10	fuzzy	fuzzy	ADJ
iajs-643	23	11	subset	subset	NOUN
iajs-643	23	12	of	of	ADP
iajs-643	23	13	g	g	PROPN
iajs-643	23	14	,	,	PUNCT
iajs-643	23	15	then	then	ADV
iajs-643	23	16	m	m	VERB
iajs-643	23	17	is	be	AUX
iajs-643	23	18	a	a	DET
iajs-643	23	19	fuzzy	fuzzy	ADJ
iajs-643	23	20	subgroup	subgroup	NOUN
iajs-643	23	21	of	of	ADP
iajs-643	23	22	g	g	PROPN
iajs-643	23	23	,	,	PUNCT
iajs-643	24	1	if	if	SCONJ
iajs-643	24	2	and	and	CCONJ
iajs-643	24	3	only	only	ADV
iajs-643	24	4	if	if	SCONJ
iajs-643	24	5	,	,	PUNCT
iajs-643	24	6	m	m	VERB
iajs-643	24	7	satisfies	satisfy	VERB
iajs-643	24	8	the	the	DET
iajs-643	24	9	following	follow	VERB
iajs-643	24	10	conditions	condition	NOUN
iajs-643	24	11	:	:	PUNCT
iajs-643	24	12	(	(	PUNCT
iajs-643	24	13	i	i	NOUN
iajs-643	24	14	)	)	PUNCT
iajs-643	24	15	mmm	mmm	INTJ
iajs-643	25	1	ío	ío	ADP
iajs-643	25	2	(	(	PUNCT
iajs-643	25	3	ii	ii	NOUN
iajs-643	25	4	)	)	PUNCT
iajs-643	25	5	mm	mm	NOUN
iajs-643	26	1	=	=	NOUN
iajs-643	26	2	-1	-1	INTJ
iajs-643	26	3	where	where	SCONJ
iajs-643	26	4	m-1(x	m-1(x	NOUN
iajs-643	26	5	)	)	PUNCT
iajs-643	26	6	=	=	SYM
iajs-643	27	1	m(x	m(x	PROPN
iajs-643	27	2	)	)	PUNCT
iajs-643	27	3	,	,	PUNCT
iajs-643	27	4	"	"	PUNCT
iajs-643	27	5	x	x	SYM
iajs-643	27	6	îg	îg	X
iajs-643	27	7	.	.	PUNCT
iajs-643	28	1	proposition	proposition	NOUN
iajs-643	28	2	1.7	1.7	NUM
iajs-643	29	1	[	[	X
iajs-643	29	2	6	6	NUM
iajs-643	29	3	]	]	PUNCT
iajs-643	29	4	let	let	AUX
iajs-643	29	5	m	m	PRON
iajs-643	29	6	be	be	AUX
iajs-643	29	7	a	a	DET
iajs-643	29	8	fuzzy	fuzzy	ADJ
iajs-643	29	9	group	group	NOUN
iajs-643	29	10	.	.	PUNCT
iajs-643	30	1	then	then	ADV
iajs-643	30	2	(	(	PUNCT
iajs-643	30	3	)	)	PUNCT
iajs-643	30	4	(	(	PUNCT
iajs-643	30	5	)	)	PUNCT
iajs-643	30	6	gaea	gaea	PROPN
iajs-643	30	7	î"£	î"£	PROPN
iajs-643	30	8	mm	mm	INTJ
iajs-643	30	9	.	.	PUNCT
iajs-643	31	1	definition	definition	NOUN
iajs-643	31	2	1.8	1.8	NUM
iajs-643	31	3	[	[	X
iajs-643	31	4	7	7	X
iajs-643	31	5	]	]	X
iajs-643	31	6	if	if	SCONJ
iajs-643	31	7	m	m	NOUN
iajs-643	31	8	is	be	AUX
iajs-643	31	9	a	a	DET
iajs-643	31	10	fuzzy	fuzzy	ADJ
iajs-643	31	11	subgroup	subgroup	NOUN
iajs-643	31	12	of	of	ADP
iajs-643	31	13	g	g	PROPN
iajs-643	31	14	,	,	PUNCT
iajs-643	31	15	then	then	ADV
iajs-643	31	16	m	m	VERB
iajs-643	31	17	is	be	AUX
iajs-643	31	18	said	say	VERB
iajs-643	31	19	to	to	PART
iajs-643	31	20	be	be	AUX
iajs-643	31	21	abelian	abelian	ADJ
iajs-643	31	22	if	if	SCONJ
iajs-643	31	23	gyx	gyx	VERB
iajs-643	31	24	î	î	PROPN
iajs-643	31	25	"	"	PUNCT
iajs-643	31	26	,	,	PUNCT
iajs-643	31	27	,	,	PUNCT
iajs-643	31	28	(	(	PUNCT
iajs-643	31	29	)	)	PUNCT
iajs-643	31	30	(	(	PUNCT
iajs-643	31	31	)	)	PUNCT
iajs-643	31	32	0,0	0,0	NOUN
iajs-643	31	33	>	>	PUNCT
iajs-643	31	34	>	>	X
iajs-643	32	1	yx	yx	X
iajs-643	32	2	mm	mm	INTJ
iajs-643	32	3	,	,	PUNCT
iajs-643	32	4	then	then	ADV
iajs-643	32	5	(	(	PUNCT
iajs-643	32	6	)	)	PUNCT
iajs-643	32	7	(	(	PUNCT
iajs-643	32	8	)	)	PUNCT
iajs-643	32	9	yxxy	yxxy	NOUN
iajs-643	33	1	mm	mm	PROPN
iajs-643	33	2	=	=	PUNCT
iajs-643	33	3	.	.	PUNCT
iajs-643	34	1	definition	definition	NOUN
iajs-643	34	2	1.9	1.9	NUM
iajs-643	34	3	[	[	X
iajs-643	34	4	8	8	NUM
iajs-643	34	5	]	]	PUNCT
iajs-643	34	6	,	,	PUNCT
iajs-643	34	7	[	[	X
iajs-643	34	8	9	9	NUM
iajs-643	34	9	]	]	PUNCT
iajs-643	34	10	a	a	DET
iajs-643	34	11	fuzzy	fuzzy	ADJ
iajs-643	34	12	subgroup	subgroup	NOUN
iajs-643	34	13	m	m	PROPN
iajs-643	34	14	of	of	ADP
iajs-643	34	15	g	g	PROPN
iajs-643	34	16	is	be	AUX
iajs-643	34	17	said	say	VERB
iajs-643	34	18	to	to	PART
iajs-643	34	19	be	be	AUX
iajs-643	34	20	normal	normal	ADJ
iajs-643	34	21	fuzzy	fuzzy	ADJ
iajs-643	34	22	subgroup	subgroup	NOUN
iajs-643	34	23	if	if	SCONJ
iajs-643	34	24	(	(	PUNCT
iajs-643	34	25	)	)	PUNCT
iajs-643	34	26	(	(	PUNCT
iajs-643	34	27	)	)	PUNCT
iajs-643	34	28	x	x	X
iajs-643	34	29	*	*	PUNCT
iajs-643	34	30	y	y	PROPN
iajs-643	34	31	y	y	PROPN
iajs-643	34	32	*	*	PUNCT
iajs-643	34	33	x	x	X
iajs-643	34	34	,	,	PUNCT
iajs-643	34	35	x	x	X
iajs-643	34	36	,	,	PUNCT
iajs-643	34	37	y	y	PROPN
iajs-643	34	38	gm	gm	PROPN
iajs-643	34	39	m=	m=	X
iajs-643	34	40	"	"	PUNCT
iajs-643	34	41	î	î	PROPN
iajs-643	34	42	.	.	PUNCT
iajs-643	35	1	2	2	X
iajs-643	35	2	.	.	X
iajs-643	35	3	the	the	DET
iajs-643	35	4	commutator	commutator	NOUN
iajs-643	35	5	of	of	ADP
iajs-643	35	6	two	two	NUM
iajs-643	35	7	fuzzy	fuzzy	ADJ
iajs-643	35	8	subsets	subset	NOUN
iajs-643	35	9	of	of	ADP
iajs-643	35	10	a	a	DET
iajs-643	35	11	group	group	NOUN
iajs-643	35	12	in	in	ADP
iajs-643	35	13	this	this	DET
iajs-643	35	14	section	section	NOUN
iajs-643	35	15	we	we	PRON
iajs-643	35	16	introduce	introduce	VERB
iajs-643	35	17	the	the	DET
iajs-643	35	18	idea	idea	NOUN
iajs-643	35	19	of	of	ADP
iajs-643	35	20	the	the	DET
iajs-643	35	21	commutator	commutator	NOUN
iajs-643	35	22	of	of	ADP
iajs-643	35	23	two	two	NUM
iajs-643	35	24	fuzzy	fuzzy	ADJ
iajs-643	35	25	subsets	subset	NOUN
iajs-643	35	26	of	of	ADP
iajs-643	35	27	a	a	DET
iajs-643	35	28	group	group	NOUN
iajs-643	35	29	and	and	CCONJ
iajs-643	35	30	prove	prove	VERB
iajs-643	35	31	some	some	PRON
iajs-643	35	32	of	of	ADP
iajs-643	35	33	its	its	PRON
iajs-643	35	34	properties	property	NOUN
iajs-643	35	35	.	.	PUNCT
iajs-643	36	1	definition	definition	NOUN
iajs-643	36	2	2.1	2.1	NUM
iajs-643	36	3	let	let	VERB
iajs-643	36	4	l	l	NOUN
iajs-643	36	5	and	and	CCONJ
iajs-643	36	6	m	m	AUX
iajs-643	36	7	be	be	AUX
iajs-643	36	8	two	two	NUM
iajs-643	36	9	fuzzy	fuzzy	ADJ
iajs-643	36	10	subsets	subset	NOUN
iajs-643	36	11	of	of	ADP
iajs-643	36	12	g.	g.	PROPN
iajs-643	36	13	the	the	DET
iajs-643	36	14	commutator	commutator	NOUN
iajs-643	36	15	of	of	ADP
iajs-643	36	16	l	l	PROPN
iajs-643	36	17	and	and	CCONJ
iajs-643	36	18	m	m	PROPN
iajs-643	36	19	is	be	AUX
iajs-643	36	20	the	the	DET
iajs-643	36	21	fuzzy	fuzzy	ADJ
iajs-643	36	22	subgroup	subgroup	NOUN
iajs-643	36	23	[	[	PUNCT
iajs-643	36	24	]	]	X
iajs-643	36	25	ml	ml	X
iajs-643	36	26	,	,	PUNCT
iajs-643	36	27	of	of	ADP
iajs-643	36	28	g	g	PROPN
iajs-643	36	29	generated	generate	VERB
iajs-643	36	30	by	by	ADP
iajs-643	36	31	the	the	DET
iajs-643	36	32	fuzzy	fuzzy	ADJ
iajs-643	36	33	subset	subset	NOUN
iajs-643	36	34	(	(	PUNCT
iajs-643	36	35	)	)	PUNCT
iajs-643	36	36	ml	ml	NOUN
iajs-643	36	37	,	,	PUNCT
iajs-643	36	38	of	of	ADP
iajs-643	36	39	g	g	NOUN
iajs-643	36	40	which	which	PRON
iajs-643	36	41	is	be	AUX
iajs-643	36	42	defined	define	VERB
iajs-643	36	43	as	as	SCONJ
iajs-643	36	44	follows	follow	VERB
iajs-643	36	45	for	for	ADP
iajs-643	36	46	any	any	DET
iajs-643	36	47	x	x	SYM
iajs-643	36	48	î	î	PROPN
iajs-643	36	49	g	g	NOUN
iajs-643	36	50	:	:	PUNCT
iajs-643	36	51	349	349	NUM
iajs-643	36	52	صرفة	صرفة	NOUN
iajs-643	36	53	و	و	PRON
iajs-643	36	54	التطبيقيةمجلة	التطبيقيةمجلة	VERB
iajs-643	36	55	إبن	إبن	NOUN
iajs-643	36	56	الهيثم	الهيثم	ADJ
iajs-643	36	57	للعلوم	للعلوم	NOUN
iajs-643	36	58	ال	ال	ADP
iajs-643	36	59	2012	2012	NUM
iajs-643	36	60	السنة	السنة	NOUN
iajs-643	37	1	25	25	NUM
iajs-643	37	2	المجلد	المجلد	NOUN
iajs-643	37	3	2	2	NUM
iajs-643	37	4	العدد	العدد	PROPN
iajs-643	37	5	ibn	ibn	PROPN
iajs-643	37	6	al	al	PROPN
iajs-643	37	7	-	-	PUNCT
iajs-643	37	8	haitham	haitham	PROPN
iajs-643	37	9	journal	journal	PROPN
iajs-643	37	10	for	for	ADP
iajs-643	37	11	pure	pure	ADJ
iajs-643	37	12	and	and	CCONJ
iajs-643	37	13	applied	apply	VERB
iajs-643	37	14	science	science	NOUN
iajs-643	37	15	no	no	NOUN
iajs-643	37	16	.	.	NOUN
iajs-643	37	17	2	2	NUM
iajs-643	37	18	vol	vol	NOUN
iajs-643	37	19	.	.	PUNCT
iajs-643	38	1	25	25	NUM
iajs-643	38	2	year	year	NOUN
iajs-643	38	3	2012	2012	NUM
iajs-643	38	4	(	(	PUNCT
iajs-643	38	5	)	)	PUNCT
iajs-643	38	6	=)	=)	PROPN
iajs-643	38	7	(	(	PUNCT
iajs-643	38	8	,	,	PUNCT
iajs-643	38	9	xml	xml	VERB
iajs-643	38	10	next	next	ADV
iajs-643	38	11	,	,	PUNCT
iajs-643	38	12	we	we	PRON
iajs-643	38	13	will	will	AUX
iajs-643	38	14	introduce	introduce	VERB
iajs-643	38	15	some	some	DET
iajs-643	38	16	theorems	theorem	NOUN
iajs-643	38	17	about	about	ADP
iajs-643	38	18	the	the	DET
iajs-643	38	19	commutator	commutator	NOUN
iajs-643	38	20	of	of	ADP
iajs-643	38	21	two	two	NUM
iajs-643	38	22	fuzzy	fuzzy	ADJ
iajs-643	38	23	subsets	subset	NOUN
iajs-643	38	24	of	of	ADP
iajs-643	38	25	a	a	DET
iajs-643	38	26	group	group	NOUN
iajs-643	38	27	which	which	PRON
iajs-643	38	28	is	be	AUX
iajs-643	38	29	useful	useful	ADJ
iajs-643	38	30	in	in	ADP
iajs-643	38	31	fuzzy	fuzzy	ADJ
iajs-643	38	32	mathematics	mathematic	NOUN
iajs-643	38	33	.	.	PUNCT
iajs-643	39	1	theorem	theorem	ADJ
iajs-643	39	2	2	2	NUM
iajs-643	39	3	.	.	SYM
iajs-643	39	4	2	2	NUM
iajs-643	39	5	if	if	SCONJ
iajs-643	39	6	a	a	PRON
iajs-643	39	7	,	,	PUNCT
iajs-643	39	8	b	b	NOUN
iajs-643	39	9	are	be	AUX
iajs-643	39	10	subsets	subset	NOUN
iajs-643	39	11	of	of	ADP
iajs-643	39	12	g	g	NOUN
iajs-643	39	13	,	,	PUNCT
iajs-643	39	14	then	then	ADV
iajs-643	39	15	úû	úû	ADP
iajs-643	39	16	ù	ù	NOUN
iajs-643	39	17	êë	êë	ADP
iajs-643	39	18	é=	é=	PROPN
iajs-643	39	19	baba	baba	PROPN
iajs-643	39	20	,	,	PUNCT
iajs-643	39	21	]	]	PUNCT
iajs-643	39	22	,	,	PUNCT
iajs-643	39	23	[	[	PUNCT
iajs-643	39	24	ccc	ccc	NOUN
iajs-643	39	25	,	,	PUNCT
iajs-643	39	26	where	where	SCONJ
iajs-643	39	27	for	for	ADP
iajs-643	39	28	all	all	DET
iajs-643	39	29	x	x	X
iajs-643	39	30	î	î	PROPN
iajs-643	39	31	g	g	NOUN
iajs-643	39	32	:	:	PUNCT
iajs-643	39	33	,	,	PUNCT
iajs-643	39	34	(	(	PUNCT
iajs-643	39	35	)	)	PUNCT
iajs-643	39	36	,	,	PUNCT
iajs-643	39	37	a	a	DET
iajs-643	39	38	1	1	NUM
iajs-643	39	39	if	if	SCONJ
iajs-643	39	40	a	a	DET
iajs-643	39	41	a	a	DET
iajs-643	39	42	a	a	NOUN
iajs-643	39	43	0	0	NOUN
iajs-643	39	44	if	if	SCONJ
iajs-643	39	45	a	a	DET
iajs-643	39	46	a	a	DET
iajs-643	39	47	c	c	NOUN
iajs-643	39	48	îì	îì	NOUN
iajs-643	40	1	=	=	NOUN
iajs-643	40	2	í	í	NOUN
iajs-643	40	3	ïî	ïî	NOUN
iajs-643	40	4	proof	proof	NOUN
iajs-643	40	5	:	:	PUNCT
iajs-643	40	6	,	,	PUNCT
iajs-643	40	7	(	(	PUNCT
iajs-643	40	8	,	,	PUNCT
iajs-643	40	9	)	)	PUNCT
iajs-643	40	10	b	b	X
iajs-643	40	11	ba	ba	PROPN
iajs-643	40	12	ac	ac	PROPN
iajs-643	41	1	c	c	PROPN
iajs-643	41	2	c	c	PROPN
iajs-643	41	3	cé	cé	X
iajs-643	41	4	ù	ù	X
iajs-643	41	5	=	=	X
iajs-643	41	6	<	<	X
iajs-643	41	7	>	>	X
iajs-643	41	8	ë	ë	PROPN
iajs-643	41	9	û	û	NOUN
iajs-643	41	10	and	and	CCONJ
iajs-643	41	11	[	[	PUNCT
iajs-643	41	12	,	,	PUNCT
iajs-643	41	13	]	]	PUNCT
iajs-643	41	14	{	{	PUNCT
iajs-643	41	15	(	(	PUNCT
iajs-643	41	16	)	)	PUNCT
iajs-643	41	17	^	^	PUNCT
iajs-643	41	18	(	(	PUNCT
iajs-643	41	19	)	)	PUNCT
iajs-643	41	20	}	}	PUNCT
iajs-643	41	21	,	,	PUNCT
iajs-643	41	22	(	(	PUNCT
iajs-643	41	23	,	,	PUNCT
iajs-643	41	24	)	)	PUNCT
iajs-643	41	25	,	,	PUNCT
iajs-643	41	26	x	x	PUNCT
iajs-643	41	27	a	a	DET
iajs-643	41	28	b	b	PROPN
iajs-643	41	29	sup	sup	NOUN
iajs-643	41	30	a	a	DET
iajs-643	41	31	b	b	NOUN
iajs-643	41	32	if	if	SCONJ
iajs-643	41	33	x	x	PRON
iajs-643	41	34	is	be	AUX
iajs-643	41	35	acommutatorba	acommutatorba	ADV
iajs-643	41	36	ba	ba	PROPN
iajs-643	41	37	0	0	PUNCT
iajs-643	42	1	otherwise	otherwise	ADV
iajs-643	42	2	c	c	AUX
iajs-643	42	3	c	c	NOUN
iajs-643	42	4	c	c	NOUN
iajs-643	42	5	c	c	NOUN
iajs-643	42	6	=	=	PUNCT
iajs-643	42	7	ìï=	ìï=	NOUN
iajs-643	42	8	í	í	NOUN
iajs-643	42	9	ïî	ïî	NOUN
iajs-643	42	10	then	then	ADV
iajs-643	42	11	:	:	PUNCT
iajs-643	42	12	on	on	ADP
iajs-643	42	13	the	the	DET
iajs-643	42	14	other	other	ADJ
iajs-643	42	15	hand	hand	NOUN
iajs-643	42	16	,	,	PUNCT
iajs-643	42	17	{	{	PUNCT
iajs-643	42	18	}	}	PUNCT
iajs-643	42	19	)	)	PUNCT
iajs-643	42	20	(	(	PUNCT
iajs-643	42	21	)	)	PUNCT
iajs-643	42	22	(	(	PUNCT
iajs-643	42	23	sup	sup	NOUN
iajs-643	42	24	ba	ba	PROPN
iajs-643	42	25	ml	ml	NOUN
iajs-643	42	26	ù	ù	VERB
iajs-643	42	27	if	if	SCONJ
iajs-643	42	28	x	x	PRON
iajs-643	42	29	is	be	AUX
iajs-643	42	30	a	a	DET
iajs-643	42	31	commutator	commutator	NOUN
iajs-643	42	32	x=	x=	PUNCT
iajs-643	43	1	[	[	PUNCT
iajs-643	43	2	]	]	X
iajs-643	43	3	ba	ba	PROPN
iajs-643	43	4	,	,	PUNCT
iajs-643	43	5	0	0	PUNCT
iajs-643	43	6	otherwise	otherwise	ADV
iajs-643	43	7	,	,	PUNCT
iajs-643	43	8	1	1	NUM
iajs-643	43	9	if	if	SCONJ
iajs-643	43	10	[	[	PUNCT
iajs-643	43	11	]	]	X
iajs-643	43	12	bax	bax	NOUN
iajs-643	43	13	,	,	PUNCT
iajs-643	43	14	î	î	PROPN
iajs-643	43	15	0	0	NUM
iajs-643	43	16	0	0	NUM
iajs-643	43	17	otherwise	otherwise	ADV
iajs-643	43	18	(	(	PUNCT
iajs-643	43	19	2	2	NUM
iajs-643	43	20	)	)	PUNCT
iajs-643	43	21	1	1	NUM
iajs-643	43	22	if	if	SCONJ
iajs-643	43	23	[	[	PUNCT
iajs-643	43	24	]	]	X
iajs-643	43	25	[	[	PUNCT
iajs-643	43	26	]	]	X
iajs-643	43	27	babax	babax	NOUN
iajs-643	43	28	,	,	PUNCT
iajs-643	43	29	,	,	PUNCT
iajs-643	43	30	î=	î=	PROPN
iajs-643	43	31	0	0	NUM
iajs-643	43	32	0	0	NUM
iajs-643	43	33	otherwise	otherwise	ADV
iajs-643	43	34	(	(	PUNCT
iajs-643	43	35	1	1	X
iajs-643	43	36	)	)	PUNCT
iajs-643	43	37	=]	=]	NOUN
iajs-643	43	38	,	,	PUNCT
iajs-643	43	39	[	[	PUNCT
iajs-643	43	40	ba	ba	PROPN
iajs-643	43	41	cc	cc	PROPN
iajs-643	43	42	350	350	NUM
iajs-643	43	43	صرفة	صرفة	NOUN
iajs-643	43	44	و	و	PRON
iajs-643	43	45	التطبيقيةمجلة	التطبيقيةمجلة	VERB
iajs-643	43	46	إبن	إبن	NOUN
iajs-643	43	47	الهيثم	الهيثم	ADJ
iajs-643	43	48	للعلوم	للعلوم	NOUN
iajs-643	43	49	ال	ال	ADP
iajs-643	43	50	2012	2012	NUM
iajs-643	43	51	السنة	السنة	NOUN
iajs-643	44	1	25	25	NUM
iajs-643	44	2	المجلد	المجلد	NOUN
iajs-643	44	3	2	2	NUM
iajs-643	44	4	العدد	العدد	PROPN
iajs-643	44	5	ibn	ibn	PROPN
iajs-643	44	6	al	al	PROPN
iajs-643	44	7	-	-	PUNCT
iajs-643	44	8	haitham	haitham	PROPN
iajs-643	44	9	journal	journal	PROPN
iajs-643	44	10	for	for	ADP
iajs-643	44	11	pure	pure	ADJ
iajs-643	44	12	and	and	CCONJ
iajs-643	44	13	applied	apply	VERB
iajs-643	44	14	science	science	NOUN
iajs-643	44	15	no	no	NOUN
iajs-643	44	16	.	.	NOUN
iajs-643	44	17	2	2	NUM
iajs-643	44	18	vol	vol	NOUN
iajs-643	44	19	.	.	PUNCT
iajs-643	45	1	25	25	NUM
iajs-643	45	2	year	year	NOUN
iajs-643	45	3	2012	2012	NUM
iajs-643	45	4	=	=	SYM
iajs-643	45	5	úû	úû	ADP
iajs-643	45	6	ù	ù	PROPN
iajs-643	45	7	êë	êë	ADP
iajs-643	45	8	é	é	PROPN
iajs-643	45	9	)	)	PUNCT
iajs-643	45	10	(	(	PUNCT
iajs-643	45	11	,	,	PUNCT
iajs-643	45	12	xbac	xbac	PROPN
iajs-643	45	13	from	from	ADP
iajs-643	45	14	(	(	PUNCT
iajs-643	45	15	1	1	NUM
iajs-643	45	16	)	)	PUNCT
iajs-643	45	17	and	and	CCONJ
iajs-643	45	18	(	(	PUNCT
iajs-643	45	19	2	2	NUM
iajs-643	45	20	)	)	PUNCT
iajs-643	45	21	,	,	PUNCT
iajs-643	45	22	we	we	PRON
iajs-643	45	23	get	get	VERB
iajs-643	45	24	úû	úû	ADP
iajs-643	45	25	ù	ù	NOUN
iajs-643	45	26	êë	êë	ADP
iajs-643	45	27	é=	é=	PROPN
iajs-643	45	28	baba	baba	PROPN
iajs-643	45	29	,	,	PUNCT
iajs-643	45	30	]	]	PUNCT
iajs-643	45	31	,	,	PUNCT
iajs-643	45	32	[	[	PUNCT
iajs-643	45	33	ccc	ccc	NOUN
iajs-643	45	34	.	.	PUNCT
iajs-643	46	1	theorem	theorem	VERB
iajs-643	46	2	2	2	NUM
iajs-643	46	3	.	.	NOUN
iajs-643	46	4	3	3	NUM
iajs-643	46	5	for	for	ADP
iajs-643	46	6	any	any	DET
iajs-643	46	7	two	two	NUM
iajs-643	46	8	fuzzy	fuzzy	ADJ
iajs-643	46	9	subsets	subset	NOUN
iajs-643	46	10	ml	ml	ADP
iajs-643	46	11	,	,	PUNCT
iajs-643	46	12	of	of	ADP
iajs-643	46	13	g	g	NOUN
iajs-643	46	14	,	,	PUNCT
iajs-643	46	15	[	[	PUNCT
iajs-643	46	16	]	]	X
iajs-643	46	17	[	[	PUNCT
iajs-643	46	18	]	]	X
iajs-643	46	19	lmml	lmml	NOUN
iajs-643	46	20	,	,	PUNCT
iajs-643	46	21	,	,	PUNCT
iajs-643	46	22	=	=	SYM
iajs-643	46	23	proof	proof	NOUN
iajs-643	46	24	:	:	PUNCT
iajs-643	46	25	the	the	DET
iajs-643	46	26	result	result	NOUN
iajs-643	46	27	follows	follow	VERB
iajs-643	46	28	from	from	ADP
iajs-643	46	29	definition	definition	NOUN
iajs-643	46	30	(	(	PUNCT
iajs-643	46	31	2.1	2.1	NUM
iajs-643	46	32	)	)	PUNCT
iajs-643	46	33	and	and	CCONJ
iajs-643	46	34	definition(1.5	definition(1.5	NOUN
iajs-643	46	35	)	)	PUNCT
iajs-643	46	36	.	.	PUNCT
iajs-643	47	1	for	for	ADP
iajs-643	47	2	more	more	ADJ
iajs-643	47	3	explanation	explanation	NOUN
iajs-643	47	4	we	we	PRON
iajs-643	47	5	give	give	VERB
iajs-643	47	6	the	the	DET
iajs-643	47	7	following	follow	VERB
iajs-643	47	8	example	example	NOUN
iajs-643	47	9	:	:	PUNCT
iajs-643	47	10	example	example	NOUN
iajs-643	47	11	2	2	NUM
iajs-643	47	12	.	.	NOUN
iajs-643	47	13	4	4	NUM
iajs-643	47	14	let	let	VERB
iajs-643	47	15	mland	mland	ADV
iajs-643	47	16	be	be	AUX
iajs-643	47	17	two	two	NUM
iajs-643	47	18	fuzzy	fuzzy	ADJ
iajs-643	47	19	subsets	subset	NOUN
iajs-643	47	20	of	of	ADP
iajs-643	47	21	3s	3s	NUM
iajs-643	47	22	(	(	PUNCT
iajs-643	47	23	the	the	DET
iajs-643	47	24	group	group	NOUN
iajs-643	47	25	of	of	ADP
iajs-643	47	26	all	all	DET
iajs-643	47	27	permutations	permutation	NOUN
iajs-643	47	28	on	on	ADP
iajs-643	47	29	the	the	DET
iajs-643	47	30	set	set	NOUN
iajs-643	47	31	{	{	PUNCT
iajs-643	47	32	}	}	PUNCT
iajs-643	47	33	,	,	PUNCT
iajs-643	47	34	3,2,1	3,2,1	NUM
iajs-643	47	35	)	)	PUNCT
iajs-643	47	36	defined	define	VERB
iajs-643	47	37	as	as	ADP
iajs-643	47	38	follows	follow	VERB
iajs-643	47	39	,	,	PUNCT
iajs-643	47	40	for	for	ADP
iajs-643	47	41	any	any	DET
iajs-643	47	42	x	x	SYM
iajs-643	47	43	î	î	PROPN
iajs-643	47	44	s3	s3	PROPN
iajs-643	47	45	:	:	PUNCT
iajs-643	47	46	=)	=)	PROPN
iajs-643	47	47	(	(	PUNCT
iajs-643	47	48	xl	xl	PROPN
iajs-643	47	49	=)	=)	PROPN
iajs-643	47	50	(	(	PUNCT
iajs-643	47	51	xm	xm	NOUN
iajs-643	47	52	by	by	ADP
iajs-643	47	53	definition	definition	NOUN
iajs-643	47	54	(	(	PUNCT
iajs-643	47	55	2.1	2.1	NUM
iajs-643	47	56	)	)	PUNCT
iajs-643	47	57	:	:	PUNCT
iajs-643	47	58	(	(	PUNCT
iajs-643	47	59	)	)	PUNCT
iajs-643	47	60	=)	=)	PROPN
iajs-643	47	61	(	(	PUNCT
iajs-643	47	62	,	,	PUNCT
iajs-643	47	63	xml	xml	NOUN
iajs-643	47	64	{	{	PUNCT
iajs-643	47	65	}	}	PUNCT
iajs-643	47	66	)	)	PUNCT
iajs-643	47	67	(	(	PUNCT
iajs-643	47	68	)	)	PUNCT
iajs-643	47	69	(	(	PUNCT
iajs-643	47	70	sup	sup	NOUN
iajs-643	47	71	ba	ba	PROPN
iajs-643	47	72	ml	ml	NOUN
iajs-643	47	73	ù	ù	VERB
iajs-643	47	74	if	if	SCONJ
iajs-643	47	75	x	x	PRON
iajs-643	47	76	is	be	AUX
iajs-643	47	77	a	a	DET
iajs-643	47	78	commutator	commutator	NOUN
iajs-643	47	79	]	]	PUNCT
iajs-643	47	80	,	,	PUNCT
iajs-643	47	81	[	[	PUNCT
iajs-643	47	82	bax	bax	NOUN
iajs-643	47	83	=	=	PROPN
iajs-643	47	84	0	0	PUNCT
iajs-643	47	85	otherwise	otherwise	ADV
iajs-643	47	86	1	1	NUM
iajs-643	47	87	if	if	SCONJ
iajs-643	47	88	}	}	PUNCT
iajs-643	47	89	{	{	PUNCT
iajs-643	47	90	ex	ex	X
iajs-643	47	91	=	=	PROPN
iajs-643	47	92	½	½	NOUN
iajs-643	47	93	if	if	SCONJ
iajs-643	47	94	{	{	PUNCT
iajs-643	47	95	}	}	PUNCT
iajs-643	47	96	ex	ex	X
iajs-643	47	97	-aî	-aî	ADP
iajs-643	47	98	3	3	NUM
iajs-643	47	99	¼	¼	NOUN
iajs-643	47	100	if	if	SCONJ
iajs-643	47	101	33	33	NUM
iajs-643	47	102	a	a	NOUN
iajs-643	47	103	-	-	PUNCT
iajs-643	47	104	î	î	NOUN
iajs-643	47	105	sx	sx	PROPN
iajs-643	47	106	1	1	NUM
iajs-643	47	107	if	if	SCONJ
iajs-643	47	108	{	{	PUNCT
iajs-643	47	109	}	}	PUNCT
iajs-643	47	110	ex	ex	X
iajs-643	47	111	=	=	NOUN
iajs-643	47	112	⅓	⅓	PROPN
iajs-643	47	113	if	if	SCONJ
iajs-643	47	114	(	(	PUNCT
iajs-643	47	115	)	)	PUNCT
iajs-643	47	116	(	(	PUNCT
iajs-643	47	117	)	)	PUNCT
iajs-643	47	118	(	(	PUNCT
iajs-643	47	119	)	)	PUNCT
iajs-643	47	120	{	{	PUNCT
iajs-643	47	121	}	}	PUNCT
iajs-643	47	122	23,13,12îx	23,13,12îx	NUM
iajs-643	47	123	0	0	NUM
iajs-643	47	124	otherwise	otherwise	ADV
iajs-643	47	125	351	351	NUM
iajs-643	47	126	صرفة	صرفة	NOUN
iajs-643	47	127	و	و	PRON
iajs-643	47	128	التطبيقيةمجلة	التطبيقيةمجلة	VERB
iajs-643	47	129	إبن	إبن	NOUN
iajs-643	47	130	الهيثم	الهيثم	ADJ
iajs-643	47	131	للعلوم	للعلوم	NOUN
iajs-643	47	132	ال	ال	ADP
iajs-643	47	133	2012	2012	NUM
iajs-643	47	134	السنة	السنة	NOUN
iajs-643	48	1	25	25	NUM
iajs-643	48	2	المجلد	المجلد	NOUN
iajs-643	48	3	2	2	NUM
iajs-643	48	4	العدد	العدد	PROPN
iajs-643	48	5	ibn	ibn	PROPN
iajs-643	48	6	al	al	PROPN
iajs-643	48	7	-	-	PUNCT
iajs-643	48	8	haitham	haitham	PROPN
iajs-643	48	9	journal	journal	PROPN
iajs-643	48	10	for	for	ADP
iajs-643	48	11	pure	pure	ADJ
iajs-643	48	12	and	and	CCONJ
iajs-643	48	13	applied	apply	VERB
iajs-643	48	14	science	science	NOUN
iajs-643	48	15	no	no	NOUN
iajs-643	48	16	.	.	NOUN
iajs-643	48	17	2	2	NUM
iajs-643	48	18	vol	vol	NOUN
iajs-643	48	19	.	.	PUNCT
iajs-643	49	1	25	25	NUM
iajs-643	49	2	year	year	NOUN
iajs-643	49	3	2012	2012	NUM
iajs-643	49	4	=	=	SYM
iajs-643	49	5	hence	hence	ADV
iajs-643	49	6	[	[	PUNCT
iajs-643	49	7	]	]	X
iajs-643	49	8	(	(	PUNCT
iajs-643	49	9	)	)	PUNCT
iajs-643	49	10	=	=	NOUN
iajs-643	49	11	ñá=	ñá=	VERB
iajs-643	49	12	mlml	mlml	NOUN
iajs-643	49	13	,	,	PUNCT
iajs-643	49	14	,	,	PUNCT
iajs-643	49	15	on	on	ADP
iajs-643	49	16	the	the	DET
iajs-643	49	17	other	other	ADJ
iajs-643	49	18	hand	hand	NOUN
iajs-643	49	19	:	:	PUNCT
iajs-643	49	20	(	(	PUNCT
iajs-643	49	21	)	)	PUNCT
iajs-643	49	22	=)	=)	PROPN
iajs-643	49	23	(	(	PUNCT
iajs-643	49	24	,	,	PUNCT
iajs-643	49	25	xlm	xlm	ADV
iajs-643	49	26	hence	hence	ADV
iajs-643	49	27	[	[	PUNCT
iajs-643	49	28	]	]	X
iajs-643	49	29	(	(	PUNCT
iajs-643	49	30	)	)	PUNCT
iajs-643	49	31	=	=	NOUN
iajs-643	49	32	ñá=	ñá=	NOUN
iajs-643	49	33	lmlm	lmlm	NOUN
iajs-643	49	34	,	,	PUNCT
iajs-643	49	35	,	,	PUNCT
iajs-643	49	36	thus	thus	ADV
iajs-643	49	37	[	[	X
iajs-643	49	38	]	]	X
iajs-643	49	39	[	[	PUNCT
iajs-643	49	40	]	]	X
iajs-643	49	41	lmml	lmml	NOUN
iajs-643	49	42	,	,	PUNCT
iajs-643	49	43	,	,	PUNCT
iajs-643	49	44	=	=	SYM
iajs-643	49	45	.	.	PUNCT
iajs-643	50	1	theorem	theorem	NOUN
iajs-643	50	2	2	2	NUM
iajs-643	50	3	.	.	NOUN
iajs-643	50	4	5	5	NUM
iajs-643	50	5	if	if	SCONJ
iajs-643	50	6	bml	bml	NOUN
iajs-643	50	7	,	,	PUNCT
iajs-643	50	8	,	,	PUNCT
iajs-643	50	9	and	and	CCONJ
iajs-643	50	10	d	d	NOUN
iajs-643	50	11	are	be	AUX
iajs-643	50	12	fuzzy	fuzzy	ADJ
iajs-643	50	13	subsets	subset	NOUN
iajs-643	50	14	of	of	ADP
iajs-643	50	15	g	g	NOUN
iajs-643	50	16	such	such	ADJ
iajs-643	50	17	that	that	SCONJ
iajs-643	50	18	ml	ml	NOUN
iajs-643	50	19	í	í	PROPN
iajs-643	50	20	and	and	CCONJ
iajs-643	50	21	db	db	PROPN
iajs-643	50	22	í	í	PROPN
iajs-643	50	23	,	,	PUNCT
iajs-643	50	24	then	then	ADV
iajs-643	50	25	:	:	PUNCT
iajs-643	50	26	[	[	PUNCT
iajs-643	50	27	]	]	X
iajs-643	50	28	[	[	PUNCT
iajs-643	50	29	]	]	X
iajs-643	50	30	dmbl	dmbl	ADJ
iajs-643	50	31	,	,	PUNCT
iajs-643	50	32	,	,	PUNCT
iajs-643	50	33	í	í	PROPN
iajs-643	50	34	.	.	PUNCT
iajs-643	51	1	proof	proof	NOUN
iajs-643	51	2	:	:	PUNCT
iajs-643	51	3	[	[	PUNCT
iajs-643	51	4	]	]	X
iajs-643	51	5	(	(	PUNCT
iajs-643	51	6	)	)	PUNCT
iajs-643	51	7	ñá=	ñá=	NOUN
iajs-643	51	8	blbl	blbl	NOUN
iajs-643	51	9	,	,	PUNCT
iajs-643	51	10	,	,	PUNCT
iajs-643	51	11	,	,	PUNCT
iajs-643	51	12	by	by	ADP
iajs-643	51	13	definition	definition	NOUN
iajs-643	51	14	(	(	PUNCT
iajs-643	51	15	2.1	2.1	NUM
iajs-643	51	16	)	)	PUNCT
iajs-643	51	17	for	for	ADP
iajs-643	51	18	all	all	DET
iajs-643	51	19	gx	gx	PROPN
iajs-643	51	20	î	î	PROPN
iajs-643	51	21	,	,	PUNCT
iajs-643	51	22	(	(	PUNCT
iajs-643	51	23	)	)	PUNCT
iajs-643	51	24	=)	=)	PROPN
iajs-643	51	25	(	(	PUNCT
iajs-643	51	26	,	,	PUNCT
iajs-643	51	27	xbl	xbl	PROPN
iajs-643	51	28	1	1	NUM
iajs-643	51	29	if	if	SCONJ
iajs-643	51	30	{	{	PUNCT
iajs-643	51	31	}	}	PUNCT
iajs-643	51	32	ex	ex	X
iajs-643	51	33	=	=	NOUN
iajs-643	51	34	⅓	⅓	PROPN
iajs-643	51	35	if	if	SCONJ
iajs-643	51	36	{	{	PUNCT
iajs-643	51	37	}	}	PUNCT
iajs-643	51	38	ex	ex	X
iajs-643	51	39	-aî	-aî	INTJ
iajs-643	51	40	3	3	NUM
iajs-643	51	41	0	0	NUM
iajs-643	51	42	otherwise	otherwise	ADV
iajs-643	51	43	1	1	NUM
iajs-643	51	44	if	if	SCONJ
iajs-643	51	45	{	{	PUNCT
iajs-643	51	46	}	}	PUNCT
iajs-643	51	47	ex	ex	X
iajs-643	51	48	=	=	NOUN
iajs-643	51	49	⅓	⅓	PROPN
iajs-643	51	50	if	if	SCONJ
iajs-643	51	51	{	{	PUNCT
iajs-643	51	52	}	}	PUNCT
iajs-643	51	53	ex	ex	X
iajs-643	51	54	-aî	-aî	INTJ
iajs-643	51	55	3	3	NUM
iajs-643	51	56	0	0	NUM
iajs-643	52	1	otherwise	otherwise	ADV
iajs-643	52	2	1	1	NUM
iajs-643	52	3	if	if	SCONJ
iajs-643	52	4	{	{	PUNCT
iajs-643	52	5	}	}	PUNCT
iajs-643	52	6	ex	ex	X
iajs-643	52	7	=	=	NOUN
iajs-643	52	8	⅓	⅓	PROPN
iajs-643	52	9	if	if	SCONJ
iajs-643	52	10	{	{	PUNCT
iajs-643	52	11	}	}	PUNCT
iajs-643	52	12	ex	ex	X
iajs-643	53	1	-aî	-aî	INTJ
iajs-643	53	2	3	3	NUM
iajs-643	53	3	0	0	NUM
iajs-643	54	1	otherwise	otherwise	ADV
iajs-643	54	2	1	1	NUM
iajs-643	54	3	if	if	SCONJ
iajs-643	54	4	{	{	PUNCT
iajs-643	54	5	}	}	PUNCT
iajs-643	54	6	ex	ex	X
iajs-643	54	7	=	=	NOUN
iajs-643	54	8	⅓	⅓	PROPN
iajs-643	54	9	if	if	SCONJ
iajs-643	54	10	{	{	PUNCT
iajs-643	54	11	}	}	PUNCT
iajs-643	54	12	ex	ex	X
iajs-643	54	13	-aî	-aî	INTJ
iajs-643	54	14	3	3	NUM
iajs-643	54	15	0	0	NUM
iajs-643	54	16	otherwise	otherwise	ADV
iajs-643	54	17	{	{	PUNCT
iajs-643	54	18	}	}	PUNCT
iajs-643	54	19	)	)	PUNCT
iajs-643	54	20	(	(	PUNCT
iajs-643	54	21	)	)	PUNCT
iajs-643	54	22	(	(	PUNCT
iajs-643	54	23	sup	sup	NOUN
iajs-643	54	24	ba	ba	PROPN
iajs-643	54	25	bl	bl	NOUN
iajs-643	54	26	ù	ù	VERB
iajs-643	54	27	if	if	SCONJ
iajs-643	54	28	x	x	PRON
iajs-643	54	29	is	be	AUX
iajs-643	54	30	a	a	DET
iajs-643	54	31	commutator	commutator	NOUN
iajs-643	54	32	[	[	PUNCT
iajs-643	54	33	]	]	X
iajs-643	54	34	bax	bax	NOUN
iajs-643	54	35	,	,	PUNCT
iajs-643	54	36	=	=	PRON
iajs-643	54	37	{	{	PUNCT
iajs-643	54	38	}	}	PUNCT
iajs-643	54	39	)	)	PUNCT
iajs-643	54	40	(	(	PUNCT
iajs-643	54	41	)	)	PUNCT
iajs-643	54	42	(	(	PUNCT
iajs-643	54	43	sup	sup	NOUN
iajs-643	54	44	ba	ba	NOUN
iajs-643	54	45	dm	dm	NUM
iajs-643	54	46	ù	ù	NOUN
iajs-643	54	47	if	if	SCONJ
iajs-643	54	48	x	x	PRON
iajs-643	54	49	is	be	AUX
iajs-643	54	50	a	a	DET
iajs-643	54	51	commutator	commutator	NOUN
iajs-643	54	52	[	[	PUNCT
iajs-643	54	53	]	]	X
iajs-643	54	54	bax	bax	NOUN
iajs-643	54	55	,	,	PUNCT
iajs-643	54	56	=	=	NOUN
iajs-643	54	57	352	352	NUM
iajs-643	54	58	صرفة	صرفة	NOUN
iajs-643	54	59	و	و	PRON
iajs-643	54	60	التطبيقيةمجلة	التطبيقيةمجلة	VERB
iajs-643	54	61	إبن	إبن	NOUN
iajs-643	54	62	الهيثم	الهيثم	ADJ
iajs-643	54	63	للعلوم	للعلوم	NOUN
iajs-643	54	64	ال	ال	ADP
iajs-643	54	65	2012	2012	NUM
iajs-643	54	66	السنة	السنة	NOUN
iajs-643	54	67	25	25	NUM
iajs-643	54	68	المجلد	المجلد	NOUN
iajs-643	54	69	2	2	NUM
iajs-643	54	70	العدد	العدد	PROPN
iajs-643	54	71	ibn	ibn	PROPN
iajs-643	54	72	al	al	PROPN
iajs-643	54	73	-	-	PUNCT
iajs-643	54	74	haitham	haitham	PROPN
iajs-643	54	75	journal	journal	PROPN
iajs-643	54	76	for	for	ADP
iajs-643	54	77	pure	pure	ADJ
iajs-643	54	78	and	and	CCONJ
iajs-643	54	79	applied	apply	VERB
iajs-643	54	80	science	science	NOUN
iajs-643	54	81	no	no	NOUN
iajs-643	54	82	.	.	NOUN
iajs-643	54	83	2	2	NUM
iajs-643	54	84	vol	vol	NOUN
iajs-643	54	85	.	.	PUNCT
iajs-643	55	1	25	25	NUM
iajs-643	55	2	year	year	NOUN
iajs-643	55	3	2012	2012	NUM
iajs-643	55	4	£	£	PROPN
iajs-643	55	5	(	(	PUNCT
iajs-643	55	6	)	)	PUNCT
iajs-643	55	7	)	)	PUNCT
iajs-643	55	8	(	(	PUNCT
iajs-643	55	9	,	,	PUNCT
iajs-643	55	10	xdm=	xdm=	PROPN
iajs-643	55	11	thus	thus	ADV
iajs-643	55	12	,	,	PUNCT
iajs-643	55	13	[	[	PUNCT
iajs-643	55	14	]	]	X
iajs-643	55	15	(	(	PUNCT
iajs-643	55	16	)	)	PUNCT
iajs-643	55	17	(	(	PUNCT
iajs-643	55	18	)	)	PUNCT
iajs-643	55	19	[	[	PUNCT
iajs-643	55	20	]	]	X
iajs-643	55	21	dmdmblbl	dmdmblbl	NOUN
iajs-643	55	22	,	,	PUNCT
iajs-643	55	23	,	,	PUNCT
iajs-643	55	24	,	,	PUNCT
iajs-643	55	25	,	,	PUNCT
iajs-643	55	26	=	=	NOUN
iajs-643	55	27	ñá£ñá=	ñá£ñá=	NOUN
iajs-643	55	28	hence	hence	ADV
iajs-643	55	29	,	,	PUNCT
iajs-643	55	30	[	[	PUNCT
iajs-643	55	31	]	]	X
iajs-643	55	32	[	[	PUNCT
iajs-643	55	33	]	]	X
iajs-643	55	34	dmbl	dmbl	ADJ
iajs-643	55	35	,	,	PUNCT
iajs-643	55	36	,	,	PUNCT
iajs-643	55	37	í	í	PROPN
iajs-643	55	38	.	.	PUNCT
iajs-643	55	39	.	.	PUNCT
iajs-643	56	1	corollary	corollary	ADJ
iajs-643	56	2	2	2	NUM
iajs-643	56	3	.	.	NOUN
iajs-643	56	4	6	6	NUM
iajs-643	56	5	if	if	SCONJ
iajs-643	56	6	ml	ml	NOUN
iajs-643	56	7	,	,	PUNCT
iajs-643	56	8	are	be	AUX
iajs-643	56	9	fuzzy	fuzzy	ADJ
iajs-643	56	10	subsets	subset	NOUN
iajs-643	56	11	of	of	ADP
iajs-643	56	12	g	g	NOUN
iajs-643	56	13	such	such	ADJ
iajs-643	56	14	that	that	SCONJ
iajs-643	56	15	ml	ml	PROPN
iajs-643	56	16	í	í	PROPN
iajs-643	56	17	,	,	PUNCT
iajs-643	56	18	then	then	ADV
iajs-643	56	19	[	[	PUNCT
iajs-643	56	20	]	]	X
iajs-643	56	21	[	[	PUNCT
iajs-643	56	22	]	]	X
iajs-643	56	23	dmdl	dmdl	NOUN
iajs-643	56	24	,	,	PUNCT
iajs-643	56	25	,	,	PUNCT
iajs-643	56	26	í	í	NOUN
iajs-643	56	27	for	for	ADP
iajs-643	56	28	every	every	DET
iajs-643	56	29	fuzzy	fuzzy	ADJ
iajs-643	56	30	subset	subset	NOUN
iajs-643	56	31	d	d	PROPN
iajs-643	56	32	of	of	ADP
iajs-643	56	33	g.	g.	PROPN
iajs-643	56	34	proof	proof	PROPN
iajs-643	56	35	:	:	PUNCT
iajs-643	56	36	the	the	DET
iajs-643	56	37	result	result	NOUN
iajs-643	56	38	follows	follow	VERB
iajs-643	56	39	from	from	ADP
iajs-643	56	40	theorem	theorem	NOUN
iajs-643	56	41	(	(	PUNCT
iajs-643	56	42	2	2	NUM
iajs-643	56	43	.	.	NOUN
iajs-643	56	44	5	5	NUM
iajs-643	56	45	)	)	PUNCT
iajs-643	56	46	by	by	ADP
iajs-643	56	47	taking	take	VERB
iajs-643	56	48	db	db	PROPN
iajs-643	56	49	=	=	X
iajs-643	56	50	.	.	PUNCT
iajs-643	57	1	now	now	ADV
iajs-643	57	2	,	,	PUNCT
iajs-643	57	3	we	we	PRON
iajs-643	57	4	introduce	introduce	VERB
iajs-643	57	5	an	an	DET
iajs-643	57	6	important	important	ADJ
iajs-643	57	7	concept	concept	NOUN
iajs-643	57	8	about	about	ADP
iajs-643	57	9	the	the	DET
iajs-643	57	10	fuzzy	fuzzy	ADJ
iajs-643	57	11	subset	subset	NOUN
iajs-643	57	12	.	.	PUNCT
iajs-643	58	1	definition	definition	NOUN
iajs-643	58	2	2	2	NUM
iajs-643	58	3	.	.	NOUN
iajs-643	58	4	7	7	NUM
iajs-643	58	5	let	let	VERB
iajs-643	58	6	l	l	NOUN
iajs-643	58	7	be	be	AUX
iajs-643	58	8	a	a	DET
iajs-643	58	9	fuzzy	fuzzy	ADJ
iajs-643	58	10	subset	subset	NOUN
iajs-643	58	11	of	of	ADP
iajs-643	58	12	g.	g.	PROPN
iajs-643	58	13	then	then	ADV
iajs-643	58	14	the	the	DET
iajs-643	58	15	tip	tip	NOUN
iajs-643	58	16	of	of	ADP
iajs-643	58	17	l	l	NOUN
iajs-643	58	18	is	be	AUX
iajs-643	58	19	the	the	DET
iajs-643	58	20	supremum	supremum	NOUN
iajs-643	58	21	of	of	ADP
iajs-643	58	22	the	the	DET
iajs-643	58	23	set	set	NOUN
iajs-643	58	24	{	{	PUNCT
iajs-643	58	25	}	}	PUNCT
iajs-643	58	26	gxx	gxx	VERB
iajs-643	58	27	î)(l	î)(l	NOUN
iajs-643	58	28	.	.	PUNCT
iajs-643	59	1	theorem	theorem	VERB
iajs-643	59	2	2	2	NUM
iajs-643	59	3	.	.	NUM
iajs-643	59	4	8	8	NUM
iajs-643	59	5	let	let	VERB
iajs-643	59	6	mland	mland	NOUN
iajs-643	59	7	be	be	AUX
iajs-643	59	8	fuzzy	fuzzy	ADJ
iajs-643	59	9	subsets	subset	NOUN
iajs-643	59	10	of	of	ADP
iajs-643	59	11	g.	g.	PROPN
iajs-643	59	12	then	then	ADV
iajs-643	59	13	the	the	DET
iajs-643	59	14	tip	tip	NOUN
iajs-643	59	15	of	of	ADP
iajs-643	59	16	[	[	PUNCT
iajs-643	59	17	]	]	X
iajs-643	59	18	ml	ml	X
iajs-643	59	19	,	,	PUNCT
iajs-643	59	20	is	be	AUX
iajs-643	59	21	the	the	DET
iajs-643	59	22	minimum	minimum	NOUN
iajs-643	59	23	of	of	ADP
iajs-643	59	24	tip	tip	NOUN
iajs-643	59	25	of	of	ADP
iajs-643	59	26	l	l	NOUN
iajs-643	59	27	and	and	CCONJ
iajs-643	59	28	tip	tip	NOUN
iajs-643	59	29	of	of	ADP
iajs-643	59	30	m	m	PROPN
iajs-643	59	31	.	.	PUNCT
iajs-643	60	1	proof	proof	NOUN
iajs-643	60	2	:	:	PUNCT
iajs-643	60	3	we	we	PRON
iajs-643	60	4	want	want	VERB
iajs-643	60	5	to	to	PART
iajs-643	60	6	prove	prove	VERB
iajs-643	60	7	that	that	SCONJ
iajs-643	60	8	the	the	DET
iajs-643	60	9	tip	tip	NOUN
iajs-643	60	10	of	of	ADP
iajs-643	60	11	[	[	PUNCT
iajs-643	60	12	]	]	X
iajs-643	60	13	,	,	PUNCT
iajs-643	60	14	tip	tip	NOUN
iajs-643	60	15	of	of	ADP
iajs-643	60	16	tip	tip	NOUN
iajs-643	60	17	ofl	ofl	PROPN
iajs-643	60	18	m	m	VERB
iajs-643	60	19	l	l	NOUN
iajs-643	60	20	m=	m=	X
iajs-643	60	21	ù	ù	NOUN
iajs-643	60	22	let	let	VERB
iajs-643	60	23	tip	tip	NOUN
iajs-643	60	24	of	of	ADP
iajs-643	60	25	{	{	PUNCT
iajs-643	60	26	}	}	PUNCT
iajs-643	60	27	lgxx	lgxx	NOUN
iajs-643	60	28	=	=	PRON
iajs-643	60	29	î=	î=	NOUN
iajs-643	60	30	/)(sup	/)(sup	PROPN
iajs-643	60	31	ll	ll	AUX
iajs-643	60	32	and	and	CCONJ
iajs-643	60	33	,	,	PUNCT
iajs-643	60	34	let	let	VERB
iajs-643	60	35	tip	tip	NOUN
iajs-643	60	36	of	of	ADP
iajs-643	60	37	{	{	PUNCT
iajs-643	60	38	}	}	PUNCT
iajs-643	60	39	mgxx	mgxx	NOUN
iajs-643	60	40	=	=	NOUN
iajs-643	60	41	î=	î=	NOUN
iajs-643	60	42	/)(sup	/)(sup	PROPN
iajs-643	60	43	mm	mm	PROPN
iajs-643	60	44	such	such	ADJ
iajs-643	60	45	that	that	SCONJ
iajs-643	60	46	[	[	PUNCT
iajs-643	60	47	]	]	X
iajs-643	60	48	1,0	1,0	NUM
iajs-643	60	49	,	,	PUNCT
iajs-643	60	50	îml	îml	PROPN
iajs-643	60	51	now	now	ADV
iajs-643	60	52	,	,	PUNCT
iajs-643	60	53	tip	tip	NOUN
iajs-643	60	54	of	of	ADP
iajs-643	60	55	(	(	PUNCT
iajs-643	60	56	)	)	PUNCT
iajs-643	60	57	ml	ml	ADP
iajs-643	60	58	,	,	PUNCT
iajs-643	60	59	(	(	PUNCT
iajs-643	60	60	)	)	PUNCT
iajs-643	60	61	{	{	PUNCT
iajs-643	60	62	}	}	PUNCT
iajs-643	60	63	{	{	PUNCT
iajs-643	60	64	}	}	PUNCT
iajs-643	60	65	[	[	PUNCT
iajs-643	60	66	]	]	X
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iajs-643	60	70	]	]	X
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iajs-643	60	73	{	{	PUNCT
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iajs-643	60	75	]	]	X
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iajs-643	60	81	ml	ml	ADP
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iajs-643	62	7	ù=	ù=	NOUN
iajs-643	62	8	î=	î=	NOUN
iajs-643	62	9	/)(sup/)(sup	/)(sup/)(sup	NOUN
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iajs-643	62	29	إبن	إبن	NOUN
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iajs-643	62	33	2012	2012	NUM
iajs-643	62	34	السنة	السنة	NOUN
iajs-643	62	35	25	25	NUM
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iajs-643	62	37	2	2	NUM
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iajs-643	63	1	25	25	NUM
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iajs-643	64	2	,	,	PUNCT
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iajs-643	64	4	]	]	X
iajs-643	64	5	(	(	PUNCT
iajs-643	64	6	)	)	PUNCT
iajs-643	64	7	ñá=	ñá=	NOUN
iajs-643	64	8	mlml	mlml	NOUN
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iajs-643	64	12	,	,	PUNCT
iajs-643	64	13	tip	tip	NOUN
iajs-643	64	14	of	of	ADP
iajs-643	64	15	[	[	PUNCT
iajs-643	64	16	]	]	X
iajs-643	64	17	ml	ml	ADP
iajs-643	64	18	ù	ù	X
iajs-643	64	19	=	=	SYM
iajs-643	64	20	ml	ml	NOUN
iajs-643	64	21	,	,	PUNCT
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iajs-643	64	24	tip	tip	NOUN
iajs-643	64	25	of	of	ADP
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iajs-643	64	28	,	,	PUNCT
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iajs-643	64	32	ofl	ofl	PROPN
iajs-643	64	33	m	m	VERB
iajs-643	64	34	l	l	ADJ
iajs-643	64	35	m=	m=	X
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iajs-643	66	5	)	)	PUNCT
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iajs-643	66	7	=	=	SYM
iajs-643	66	8	h=	h=	X
iajs-643	66	9	ml	ml	INTJ
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iajs-643	66	12	:	:	PUNCT
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iajs-643	66	14	]	]	X
iajs-643	66	15	(	(	PUNCT
iajs-643	66	16	)	)	PUNCT
iajs-643	66	17	[	[	PUNCT
iajs-643	66	18	]	]	X
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iajs-643	66	21	,	,	PUNCT
iajs-643	66	22	h	h	NOUN
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iajs-643	66	24	ml	ml	X
iajs-643	66	25	.	.	PUNCT
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iajs-643	67	3	first	first	ADV
iajs-643	67	4	,	,	PUNCT
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iajs-643	67	22	ñ	ñ	PROPN
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iajs-643	67	25	(	(	PUNCT
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iajs-643	67	29	|	|	INTJ
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iajs-643	67	32	s	s	NOUN
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iajs-643	67	34	g	g	NOUN
iajs-643	67	35	x	x	SYM
iajs-643	67	36	0	0	NUM
iajs-643	67	37	km	km	NOUN
iajs-643	67	38	m=	m=	X
iajs-643	67	39	î	î	PROPN
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iajs-643	69	2	:	:	PUNCT
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iajs-643	69	4	]	]	X
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iajs-643	69	6	,	,	PUNCT
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iajs-643	69	8	,	,	PUNCT
iajs-643	69	9	[	[	PUNCT
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iajs-643	69	13	ml	ml	PROPN
iajs-643	69	14	,	,	PUNCT
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iajs-643	69	18	(	(	PUNCT
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iajs-643	69	21	ml	ml	PROPN
iajs-643	69	22	,	,	PUNCT
iajs-643	69	23	s	s	PART
iajs-643	69	24	s=	s=	NOUN
iajs-643	69	25	xx	xx	NUM
iajs-643	69	26	/{=	/{=	PUNCT
iajs-643	69	27	:	:	PUNCT
iajs-643	69	28	is	be	AUX
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iajs-643	69	30	commutator	commutator	NOUN
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iajs-643	69	32	(	(	PUNCT
iajs-643	69	33	2	2	NUM
iajs-643	69	34	)	)	PUNCT
iajs-643	69	35	from	from	ADP
iajs-643	69	36	(	(	PUNCT
iajs-643	69	37	1	1	NUM
iajs-643	69	38	)	)	PUNCT
iajs-643	69	39	and	and	CCONJ
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iajs-643	69	41	2	2	NUM
iajs-643	69	42	)	)	PUNCT
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iajs-643	69	45	get	get	VERB
iajs-643	69	46	[	[	PUNCT
iajs-643	69	47	]	]	X
iajs-643	69	48	(	(	PUNCT
iajs-643	69	49	)	)	PUNCT
iajs-643	70	1	[	[	PUNCT
iajs-643	70	2	]	]	X
iajs-643	70	3	khs	khs	NOUN
iajs-643	70	4	,	,	PUNCT
iajs-643	70	5	,	,	PUNCT
iajs-643	70	6	=	=	NOUN
iajs-643	70	7	ml	ml	X
iajs-643	70	8	.	.	PUNCT
iajs-643	71	1	the	the	DET
iajs-643	71	2	following	follow	VERB
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iajs-643	71	5	theorems	theorem	NOUN
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iajs-643	71	7	2	2	NUM
iajs-643	71	8	.	.	NUM
iajs-643	71	9	8)	8)	NUM
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iajs-643	71	12	2	2	NUM
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iajs-643	71	14	9	9	NUM
iajs-643	71	15	)	)	PUNCT
iajs-643	71	16	.	.	PUNCT
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iajs-643	72	2	2	2	NUM
iajs-643	72	3	.	.	X
iajs-643	72	4	10	10	NUM
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iajs-643	72	6	mland	mland	ADV
iajs-643	72	7	be	be	AUX
iajs-643	72	8	a	a	DET
iajs-643	72	9	fuzzy	fuzzy	ADJ
iajs-643	72	10	subsets	subset	NOUN
iajs-643	72	11	of	of	ADP
iajs-643	72	12	3s	3s	NUM
iajs-643	72	13	which	which	PRON
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iajs-643	72	15	defined	define	VERB
iajs-643	72	16	as	as	SCONJ
iajs-643	72	17	follows	follow	VERB
iajs-643	72	18	:	:	PUNCT
iajs-643	72	19	=)	=)	PROPN
iajs-643	72	20	(	(	PUNCT
iajs-643	72	21	xl	xl	PROPN
iajs-643	72	22	[	[	PUNCT
iajs-643	72	23	]	]	X
iajs-643	72	24	{	{	PUNCT
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iajs-643	72	26	[	[	PUNCT
iajs-643	72	27	]	]	X
iajs-643	72	28	{	{	PUNCT
iajs-643	72	29	}	}	PUNCT
iajs-643	72	30	,	,	PUNCT
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iajs-643	72	32	,	,	PUNCT
iajs-643	72	33	,	,	PUNCT
iajs-643	72	34	/	/	SYM
iajs-643	72	35	(	(	PUNCT
iajs-643	72	36	)	)	PUNCT
iajs-643	72	37	(	(	PUNCT
iajs-643	72	38	)	)	PUNCT
iajs-643	72	39	a	a	DET
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iajs-643	72	41	a	a	DET
iajs-643	72	42	h	h	NOUN
iajs-643	72	43	b	b	PROPN
iajs-643	72	44	k	k	PROPN
iajs-643	73	1	a	a	DET
iajs-643	73	2	b	b	NOUN
iajs-643	73	3	a	a	PRON
iajs-643	73	4	0	0	NUM
iajs-643	73	5	b	b	NOUN
iajs-643	73	6	0l	0l	NUM
iajs-643	73	7	m	m	NOUN
iajs-643	73	8	=	=	SYM
iajs-643	73	9	á	á	X
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iajs-643	73	11	î	î	PROPN
iajs-643	73	12	î	î	PROPN
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iajs-643	73	14	á	á	X
iajs-643	73	15	ñ	ñ	NOUN
iajs-643	73	16	>	>	X
iajs-643	73	17	ñ	ñ	PROPN
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iajs-643	73	23	commutaltor	commutaltor	NOUN
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iajs-643	73	25	(	(	PUNCT
iajs-643	73	26	1	1	NUM
iajs-643	73	27	)	)	PUNCT
iajs-643	73	28	1	1	NUM
iajs-643	73	29	if	if	SCONJ
iajs-643	73	30	{	{	PUNCT
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iajs-643	73	35	if	if	SCONJ
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iajs-643	73	40	3	3	NUM
iajs-643	73	41	¼	¼	NOUN
iajs-643	73	42	if	if	SCONJ
iajs-643	73	43	33	33	NUM
iajs-643	73	44	a	a	NOUN
iajs-643	73	45	-	-	PUNCT
iajs-643	73	46	î	î	PROPN
iajs-643	73	47	sx	sx	PROPN
iajs-643	73	48	{	{	PUNCT
iajs-643	73	49	}	}	PUNCT
iajs-643	73	50	)	)	PUNCT
iajs-643	73	51	(	(	PUNCT
iajs-643	73	52	)	)	PUNCT
iajs-643	73	53	(	(	PUNCT
iajs-643	73	54	sup	sup	NOUN
iajs-643	73	55	ba	ba	PROPN
iajs-643	74	1	ml	ml	NOUN
iajs-643	74	2	ù	ù	VERB
iajs-643	74	3	if	if	SCONJ
iajs-643	74	4	x	x	PRON
iajs-643	74	5	is	be	AUX
iajs-643	74	6	a	a	DET
iajs-643	74	7	commutator	commutator	NOUN
iajs-643	74	8	[	[	PUNCT
iajs-643	74	9	]	]	X
iajs-643	74	10	bax	bax	NOUN
iajs-643	74	11	,	,	PUNCT
iajs-643	74	12	=	=	SYM
iajs-643	74	13	0	0	NUM
iajs-643	74	14	otherwise	otherwise	ADV
iajs-643	74	15	354	354	NUM
iajs-643	74	16	صرفة	صرفة	NOUN
iajs-643	74	17	و	و	PRON
iajs-643	74	18	التطبيقيةمجلة	التطبيقيةمجلة	VERB
iajs-643	74	19	إبن	إبن	NOUN
iajs-643	74	20	الهيثم	الهيثم	ADJ
iajs-643	74	21	للعلوم	للعلوم	NOUN
iajs-643	74	22	ال	ال	ADP
iajs-643	74	23	2012	2012	NUM
iajs-643	74	24	السنة	السنة	NOUN
iajs-643	74	25	25	25	NUM
iajs-643	74	26	المجلد	المجلد	NOUN
iajs-643	74	27	2	2	NUM
iajs-643	74	28	العدد	العدد	PROPN
iajs-643	74	29	ibn	ibn	PROPN
iajs-643	74	30	al	al	PROPN
iajs-643	74	31	-	-	PUNCT
iajs-643	74	32	haitham	haitham	PROPN
iajs-643	74	33	journal	journal	PROPN
iajs-643	74	34	for	for	ADP
iajs-643	74	35	pure	pure	ADJ
iajs-643	74	36	and	and	CCONJ
iajs-643	74	37	applied	apply	VERB
iajs-643	74	38	science	science	NOUN
iajs-643	74	39	no	no	NOUN
iajs-643	74	40	.	.	NOUN
iajs-643	74	41	2	2	NUM
iajs-643	74	42	vol	vol	NOUN
iajs-643	74	43	.	.	PUNCT
iajs-643	75	1	25	25	NUM
iajs-643	75	2	year	year	NOUN
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iajs-643	75	4	and	and	CCONJ
iajs-643	75	5	,	,	PUNCT
iajs-643	75	6	=)	=)	PROPN
iajs-643	75	7	(	(	PUNCT
iajs-643	75	8	xm	xm	PROPN
iajs-643	75	9	then	then	ADV
iajs-643	75	10	,	,	PUNCT
iajs-643	75	11	tip	tip	NOUN
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iajs-643	75	13	1	1	NUM
iajs-643	75	14	=	=	NOUN
iajs-643	75	15	l	l	NOUN
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iajs-643	75	17	tip	tip	NOUN
iajs-643	75	18	of	of	ADP
iajs-643	75	19	=	=	NOUN
iajs-643	75	20	m	m	NOUN
iajs-643	75	21	½	½	NOUN
iajs-643	75	22	(	(	PUNCT
iajs-643	75	23	)	)	PUNCT
iajs-643	75	24	=)	=)	PROPN
iajs-643	75	25	(	(	PUNCT
iajs-643	75	26	,	,	PUNCT
iajs-643	75	27	xml	xml	NOUN
iajs-643	75	28	=	=	PUNCT
iajs-643	75	29	since	since	SCONJ
iajs-643	75	30	,	,	PUNCT
iajs-643	75	31	[	[	PUNCT
iajs-643	75	32	]	]	X
iajs-643	75	33	(	(	PUNCT
iajs-643	75	34	)	)	PUNCT
iajs-643	75	35	mlml	mlml	NOUN
iajs-643	75	36	,	,	PUNCT
iajs-643	75	37	,	,	PUNCT
iajs-643	75	38	=	=	PRON
iajs-643	75	39	.	.	PUNCT
iajs-643	76	1	then	then	ADV
iajs-643	76	2	:	:	PUNCT
iajs-643	76	3	[	[	PUNCT
iajs-643	76	4	]	]	X
iajs-643	76	5	=	=	X
iajs-643	76	6	)	)	PUNCT
iajs-643	76	7	(	(	PUNCT
iajs-643	76	8	,	,	PUNCT
iajs-643	76	9	xml	xml	VERB
iajs-643	76	10	then	then	ADV
iajs-643	76	11	tip	tip	NOUN
iajs-643	76	12	of	of	ADP
iajs-643	76	13	[	[	PUNCT
iajs-643	76	14	]=	]=	NOUN
iajs-643	76	15	ml	ml	NOUN
iajs-643	76	16	,	,	PUNCT
iajs-643	76	17	½	½	NOUN
iajs-643	76	18	tip	tip	NOUN
iajs-643	76	19	of	of	ADP
iajs-643	76	20	tip	tip	NOUN
iajs-643	76	21	ofl	ofl	INTJ
iajs-643	76	22	m=	m=	X
iajs-643	76	23	ù	ù	PROPN
iajs-643	76	24	also	also	ADV
iajs-643	76	25	,	,	PUNCT
iajs-643	76	26	½	½	ADV
iajs-643	76	27	if	if	SCONJ
iajs-643	76	28	3aîx	3aîx	NUM
iajs-643	76	29	0	0	NUM
iajs-643	76	30	otherwise	otherwise	ADV
iajs-643	76	31	3	3	NUM
iajs-643	76	32	,	,	PUNCT
iajs-643	76	33	sx	sx	PROPN
iajs-643	76	34	î	î	PROPN
iajs-643	76	35	{	{	PUNCT
iajs-643	76	36	}	}	PUNCT
iajs-643	76	37	)	)	PUNCT
iajs-643	76	38	(	(	PUNCT
iajs-643	76	39	)	)	PUNCT
iajs-643	76	40	(	(	PUNCT
iajs-643	76	41	sup	sup	NOUN
iajs-643	76	42	ba	ba	PROPN
iajs-643	76	43	ml	ml	NOUN
iajs-643	76	44	ù	ù	VERB
iajs-643	76	45	if	if	SCONJ
iajs-643	76	46	x	x	PRON
iajs-643	76	47	is	be	AUX
iajs-643	76	48	a	a	DET
iajs-643	76	49	commutator	commutator	NOUN
iajs-643	76	50	[	[	PUNCT
iajs-643	76	51	]	]	X
iajs-643	76	52	bax	bax	NOUN
iajs-643	76	53	,	,	PUNCT
iajs-643	76	54	=	=	SYM
iajs-643	76	55	0	0	NUM
iajs-643	76	56	otherwise	otherwise	ADV
iajs-643	76	57	½	½	ADV
iajs-643	76	58	if	if	SCONJ
iajs-643	76	59	{	{	PUNCT
iajs-643	76	60	}	}	PUNCT
iajs-643	76	61	ex	ex	X
iajs-643	76	62	=	=	NOUN
iajs-643	76	63	⅓	⅓	PROPN
iajs-643	76	64	if	if	SCONJ
iajs-643	76	65	{	{	PUNCT
iajs-643	76	66	}	}	PUNCT
iajs-643	76	67	ex	ex	X
iajs-643	76	68	-aî	-aî	INTJ
iajs-643	76	69	3	3	NUM
iajs-643	76	70	0	0	NUM
iajs-643	76	71	otherwise	otherwise	ADV
iajs-643	76	72	3	3	NUM
iajs-643	76	73	,	,	PUNCT
iajs-643	76	74	sx	sx	PROPN
iajs-643	76	75	î	î	PROPN
iajs-643	76	76	½	½	NOUN
iajs-643	76	77	if	if	SCONJ
iajs-643	76	78	{	{	PUNCT
iajs-643	76	79	}	}	PUNCT
iajs-643	76	80	ex	ex	X
iajs-643	76	81	=	=	NOUN
iajs-643	76	82	⅓	⅓	PROPN
iajs-643	76	83	if	if	SCONJ
iajs-643	76	84	{	{	PUNCT
iajs-643	76	85	}	}	PUNCT
iajs-643	76	86	ex	ex	X
iajs-643	76	87	-aî	-aî	INTJ
iajs-643	76	88	3	3	NUM
iajs-643	76	89	0	0	NUM
iajs-643	76	90	otherwise	otherwise	ADV
iajs-643	76	91	355	355	NUM
iajs-643	76	92	صرفة	صرفة	NOUN
iajs-643	76	93	و	و	PRON
iajs-643	76	94	التطبيقيةمجلة	التطبيقيةمجلة	VERB
iajs-643	76	95	إبن	إبن	NOUN
iajs-643	76	96	الهيثم	الهيثم	ADJ
iajs-643	76	97	للعلوم	للعلوم	NOUN
iajs-643	76	98	ال	ال	ADP
iajs-643	76	99	2012	2012	NUM
iajs-643	76	100	السنة	السنة	NOUN
iajs-643	77	1	25	25	NUM
iajs-643	77	2	المجلد	المجلد	NOUN
iajs-643	77	3	2	2	NUM
iajs-643	77	4	العدد	العدد	PROPN
iajs-643	77	5	ibn	ibn	PROPN
iajs-643	77	6	al	al	PROPN
iajs-643	77	7	-	-	PUNCT
iajs-643	77	8	haitham	haitham	PROPN
iajs-643	77	9	journal	journal	PROPN
iajs-643	77	10	for	for	ADP
iajs-643	77	11	pure	pure	ADJ
iajs-643	77	12	and	and	CCONJ
iajs-643	77	13	applied	apply	VERB
iajs-643	77	14	science	science	NOUN
iajs-643	77	15	no	no	NOUN
iajs-643	77	16	.	.	NOUN
iajs-643	77	17	2	2	NUM
iajs-643	77	18	vol	vol	NOUN
iajs-643	77	19	.	.	PUNCT
iajs-643	78	1	25	25	NUM
iajs-643	78	2	year	year	NOUN
iajs-643	78	3	2012	2012	NUM
iajs-643	78	4	(	(	PUNCT
iajs-643	78	5	)	)	PUNCT
iajs-643	78	6	3ss	3ss	NOUN
iajs-643	78	7	=	=	SYM
iajs-643	78	8	l	l	NOUN
iajs-643	78	9	and	and	CCONJ
iajs-643	78	10	(	(	PUNCT
iajs-643	78	11	)	)	PUNCT
iajs-643	78	12	3a	3a	NUM
iajs-643	78	13	=	=	SYM
iajs-643	78	14	ms	ms	X
iajs-643	78	15	(	(	PUNCT
iajs-643	78	16	)	)	PUNCT
iajs-643	78	17	(	(	PUNCT
iajs-643	78	18	)	)	PUNCT
iajs-643	78	19	[	[	PUNCT
iajs-643	78	20	]	]	X
iajs-643	78	21	[	[	PUNCT
iajs-643	78	22	]	]	X
iajs-643	78	23	(	(	PUNCT
iajs-643	78	24	)	)	PUNCT
iajs-643	78	25	(	(	PUNCT
iajs-643	78	26	)	)	PUNCT
iajs-643	78	27	{	{	PUNCT
iajs-643	78	28	}	}	PUNCT
iajs-643	78	29	3	3	NUM
iajs-643	78	30	,	,	PUNCT
iajs-643	78	31	,	,	PUNCT
iajs-643	78	32	,	,	PUNCT
iajs-643	78	33	asbsabass	asbsabass	PROPN
iajs-643	78	34	=	=	SYM
iajs-643	78	35	îî=	îî=	NOUN
iajs-643	78	36	mlml	mlml	NOUN
iajs-643	78	37	also	also	ADV
iajs-643	78	38	,	,	PUNCT
iajs-643	78	39	[	[	PUNCT
iajs-643	78	40	]	]	X
iajs-643	78	41	(	(	PUNCT
iajs-643	78	42	)	)	PUNCT
iajs-643	78	43	3	3	NUM
iajs-643	78	44	,	,	PUNCT
iajs-643	78	45	as	as	SCONJ
iajs-643	78	46	=	=	NOUN
iajs-643	78	47	ml	ml	X
iajs-643	78	48	then	then	ADV
iajs-643	78	49	,	,	PUNCT
iajs-643	78	50	we	we	PRON
iajs-643	78	51	get	get	VERB
iajs-643	78	52	:	:	PUNCT
iajs-643	78	53	[	[	PUNCT
iajs-643	78	54	]	]	X
iajs-643	78	55	(	(	PUNCT
iajs-643	78	56	)	)	PUNCT
iajs-643	78	57	(	(	PUNCT
iajs-643	78	58	)	)	PUNCT
iajs-643	78	59	(	(	PUNCT
iajs-643	78	60	)	)	PUNCT
iajs-643	78	61	[	[	PUNCT
iajs-643	78	62	]	]	X
iajs-643	78	63	mlml	mlml	ADJ
iajs-643	78	64	sss	sss	NOUN
iajs-643	78	65	,	,	PUNCT
iajs-643	78	66	,	,	PUNCT
iajs-643	78	67	=	=	PUNCT
iajs-643	78	68	.	.	PUNCT
iajs-643	79	1	next	next	ADV
iajs-643	79	2	,	,	PUNCT
iajs-643	79	3	we	we	PRON
iajs-643	79	4	will	will	AUX
iajs-643	79	5	give	give	VERB
iajs-643	79	6	and	and	CCONJ
iajs-643	79	7	prove	prove	VERB
iajs-643	79	8	the	the	DET
iajs-643	79	9	following	follow	VERB
iajs-643	79	10	propositions	proposition	NOUN
iajs-643	79	11	,	,	PUNCT
iajs-643	79	12	which	which	PRON
iajs-643	79	13	we	we	PRON
iajs-643	79	14	will	will	AUX
iajs-643	79	15	be	be	AUX
iajs-643	79	16	needed	need	VERB
iajs-643	79	17	later	later	ADV
iajs-643	79	18	.	.	PUNCT
iajs-643	80	1	proposition	proposition	NOUN
iajs-643	80	2	2	2	NUM
iajs-643	80	3	.	.	NOUN
iajs-643	80	4	11	11	NUM
iajs-643	80	5	if	if	SCONJ
iajs-643	80	6	l	l	NOUN
iajs-643	80	7	is	be	AUX
iajs-643	80	8	a	a	DET
iajs-643	80	9	fuzzy	fuzzy	ADJ
iajs-643	80	10	subgroup	subgroup	NOUN
iajs-643	80	11	of	of	ADP
iajs-643	80	12	g	g	PROPN
iajs-643	80	13	,	,	PUNCT
iajs-643	80	14	then	then	ADV
iajs-643	80	15	:	:	PUNCT
iajs-643	80	16	[	[	PUNCT
iajs-643	80	17	]	]	X
iajs-643	80	18	lll	lll	PROPN
iajs-643	80	19	í	í	PROPN
iajs-643	80	20	,	,	PUNCT
iajs-643	80	21	.	.	PUNCT
iajs-643	81	1	proof	proof	NOUN
iajs-643	81	2	:	:	PUNCT
iajs-643	81	3	for	for	ADP
iajs-643	81	4	all	all	PRON
iajs-643	81	5	,	,	PUNCT
iajs-643	81	6	gx	gx	PROPN
iajs-643	81	7	î	î	PROPN
iajs-643	81	8	(	(	PUNCT
iajs-643	81	9	)	)	PUNCT
iajs-643	81	10	=)	=)	PROPN
iajs-643	81	11	(	(	PUNCT
iajs-643	81	12	,	,	PUNCT
iajs-643	81	13	xll	xll	NOUN
iajs-643	81	14	=	=	SYM
iajs-643	81	15	£	£	NOUN
iajs-643	81	16	)	)	PUNCT
iajs-643	81	17	(	(	PUNCT
iajs-643	81	18	xl=	xl=	NOUN
iajs-643	81	19	{	{	PUNCT
iajs-643	81	20	}	}	PUNCT
iajs-643	81	21	)	)	PUNCT
iajs-643	81	22	(	(	PUNCT
iajs-643	81	23	)	)	PUNCT
iajs-643	81	24	(	(	PUNCT
iajs-643	81	25	sup	sup	NOUN
iajs-643	81	26	ba	ba	PROPN
iajs-643	81	27	ll	ll	AUX
iajs-643	81	28	ù	ù	VERB
iajs-643	81	29	if	if	SCONJ
iajs-643	81	30	x	x	PRON
iajs-643	81	31	is	be	AUX
iajs-643	81	32	a	a	DET
iajs-643	81	33	commutator	commutator	NOUN
iajs-643	81	34	[	[	PUNCT
iajs-643	81	35	]	]	X
iajs-643	81	36	bax	bax	NOUN
iajs-643	81	37	,	,	PUNCT
iajs-643	81	38	=	=	SYM
iajs-643	81	39	0	0	NUM
iajs-643	81	40	otherwise	otherwise	ADV
iajs-643	81	41	{	{	PUNCT
iajs-643	81	42	}	}	PUNCT
iajs-643	81	43	)	)	PUNCT
iajs-643	81	44	(	(	PUNCT
iajs-643	81	45	)	)	PUNCT
iajs-643	81	46	(	(	PUNCT
iajs-643	81	47	)	)	PUNCT
iajs-643	81	48	(	(	PUNCT
iajs-643	81	49	)	)	PUNCT
iajs-643	81	50	(	(	PUNCT
iajs-643	81	51	sup	sup	PROPN
iajs-643	81	52	11	11	NUM
iajs-643	81	53	-ùùù	-ùùù	PUNCT
iajs-643	81	54	baba	baba	NOUN
iajs-643	81	55	llll	llll	VERB
iajs-643	81	56	if	if	SCONJ
iajs-643	81	57	x	x	PRON
iajs-643	81	58	is	be	AUX
iajs-643	81	59	a	a	DET
iajs-643	81	60	commutator	commutator	NOUN
iajs-643	81	61	[	[	PUNCT
iajs-643	81	62	]	]	X
iajs-643	81	63	bax	bax	NOUN
iajs-643	81	64	,	,	PUNCT
iajs-643	81	65	=	=	SYM
iajs-643	81	66	0	0	NUM
iajs-643	82	1	otherwise	otherwise	ADV
iajs-643	82	2	(	(	PUNCT
iajs-643	82	3	)	)	PUNCT
iajs-643	82	4	{	{	PUNCT
iajs-643	82	5	}	}	PUNCT
iajs-643	82	6	11sup	11sup	ADJ
iajs-643	82	7	-babal	-babal	ADJ
iajs-643	82	8	if	if	SCONJ
iajs-643	82	9	x	x	PRON
iajs-643	82	10	is	be	AUX
iajs-643	82	11	a	a	DET
iajs-643	82	12	commutator	commutator	NOUN
iajs-643	82	13	[	[	PUNCT
iajs-643	82	14	]	]	X
iajs-643	82	15	bax	bax	NOUN
iajs-643	82	16	,	,	PUNCT
iajs-643	82	17	=	=	SYM
iajs-643	82	18	0	0	NUM
iajs-643	82	19	otherwise	otherwise	ADV
iajs-643	82	20	356	356	NUM
iajs-643	82	21	صرفة	صرفة	NOUN
iajs-643	82	22	و	و	PRON
iajs-643	82	23	التطبيقيةمجلة	التطبيقيةمجلة	VERB
iajs-643	82	24	إبن	إبن	NOUN
iajs-643	82	25	الهيثم	الهيثم	ADJ
iajs-643	82	26	للعلوم	للعلوم	NOUN
iajs-643	82	27	ال	ال	ADP
iajs-643	82	28	2012	2012	NUM
iajs-643	82	29	السنة	السنة	NOUN
iajs-643	82	30	25	25	NUM
iajs-643	82	31	المجلد	المجلد	NOUN
iajs-643	82	32	2	2	NUM
iajs-643	82	33	العدد	العدد	PROPN
iajs-643	82	34	ibn	ibn	PROPN
iajs-643	82	35	al	al	PROPN
iajs-643	82	36	-	-	PUNCT
iajs-643	82	37	haitham	haitham	PROPN
iajs-643	82	38	journal	journal	PROPN
iajs-643	82	39	for	for	ADP
iajs-643	82	40	pure	pure	ADJ
iajs-643	82	41	and	and	CCONJ
iajs-643	82	42	applied	apply	VERB
iajs-643	82	43	science	science	NOUN
iajs-643	82	44	no	no	NOUN
iajs-643	82	45	.	.	NOUN
iajs-643	82	46	2	2	NUM
iajs-643	82	47	vol	vol	NOUN
iajs-643	82	48	.	.	PUNCT
iajs-643	83	1	25	25	NUM
iajs-643	83	2	year	year	NOUN
iajs-643	83	3	2012	2012	NUM
iajs-643	83	4	that	that	PRON
iajs-643	83	5	is	be	AUX
iajs-643	83	6	(	(	PUNCT
iajs-643	83	7	)	)	PUNCT
iajs-643	83	8	lll	lll	PROPN
iajs-643	83	9	í	í	NOUN
iajs-643	83	10	,	,	PUNCT
iajs-643	83	11	.	.	PUNCT
iajs-643	84	1	hence	hence	ADV
iajs-643	84	2	[	[	X
iajs-643	84	3	l	l	NOUN
iajs-643	84	4	,	,	PUNCT
iajs-643	84	5	l	l	NOUN
iajs-643	84	6	]	]	X
iajs-643	84	7	í	í	X
iajs-643	84	8	l.	l.	PROPN
iajs-643	84	9	from	from	ADP
iajs-643	84	10	theorem	theorem	NOUN
iajs-643	84	11	(	(	PUNCT
iajs-643	84	12	2	2	NUM
iajs-643	84	13	.	.	NOUN
iajs-643	84	14	5	5	NUM
iajs-643	84	15	)	)	PUNCT
iajs-643	84	16	and	and	CCONJ
iajs-643	84	17	proposition	proposition	NOUN
iajs-643	84	18	(	(	PUNCT
iajs-643	84	19	2	2	NUM
iajs-643	84	20	.	.	NOUN
iajs-643	84	21	11	11	NUM
iajs-643	84	22	)	)	PUNCT
iajs-643	84	23	we	we	PRON
iajs-643	84	24	obtain	obtain	VERB
iajs-643	84	25	the	the	DET
iajs-643	84	26	following	follow	VERB
iajs-643	84	27	corollary	corollary	ADJ
iajs-643	84	28	:	:	PUNCT
iajs-643	84	29	corollary	corollary	ADJ
iajs-643	84	30	2	2	NUM
iajs-643	84	31	.	.	NOUN
iajs-643	84	32	12	12	NUM
iajs-643	84	33	let	let	VERB
iajs-643	84	34	ndbml	ndbml	ADJ
iajs-643	84	35	,	,	PUNCT
iajs-643	84	36	,	,	PUNCT
iajs-643	84	37	,	,	PUNCT
iajs-643	84	38	,	,	PUNCT
iajs-643	84	39	and	and	CCONJ
iajs-643	84	40	a	a	PRON
iajs-643	84	41	be	be	AUX
iajs-643	84	42	fuzzy	fuzzy	ADJ
iajs-643	84	43	subsets	subset	NOUN
iajs-643	84	44	of	of	ADP
iajs-643	84	45	g.	g.	PROPN
iajs-643	84	46	if	if	SCONJ
iajs-643	84	47	[	[	PUNCT
iajs-643	84	48	]	]	X
iajs-643	84	49	[	[	PUNCT
iajs-643	84	50	]	]	X
iajs-643	84	51	mldb	mldb	NOUN
iajs-643	84	52	,	,	PUNCT
iajs-643	84	53	,	,	PUNCT
iajs-643	84	54	í	í	PROPN
iajs-643	84	55	and	and	CCONJ
iajs-643	84	56	[	[	PUNCT
iajs-643	84	57	]	]	X
iajs-643	84	58	[	[	PUNCT
iajs-643	84	59	]	]	X
iajs-643	84	60	mlan	mlan	NOUN
iajs-643	84	61	,	,	PUNCT
iajs-643	84	62	,	,	PUNCT
iajs-643	84	63	í	í	PROPN
iajs-643	84	64	.	.	PUNCT
iajs-643	85	1	then	then	ADV
iajs-643	85	2	[	[	PUNCT
iajs-643	85	3	]	]	X
iajs-643	85	4	[	[	PUNCT
iajs-643	85	5	]	]	X
iajs-643	85	6	[	[	PUNCT
iajs-643	85	7	]	]	X
iajs-643	85	8	[	[	PUNCT
iajs-643	85	9	]	]	X
iajs-643	85	10	mlandb	mlandb	NOUN
iajs-643	85	11	,	,	PUNCT
iajs-643	85	12	,	,	PUNCT
iajs-643	85	13	,	,	PUNCT
iajs-643	85	14	,	,	PUNCT
iajs-643	85	15	í	í	PROPN
iajs-643	85	16	.	.	PUNCT
iajs-643	86	1	proof	proof	NOUN
iajs-643	86	2	:	:	PUNCT
iajs-643	86	3	since	since	SCONJ
iajs-643	86	4	[	[	PUNCT
iajs-643	86	5	]	]	X
iajs-643	86	6	[	[	PUNCT
iajs-643	86	7	]	]	X
iajs-643	86	8	mldb	mldb	NOUN
iajs-643	86	9	,	,	PUNCT
iajs-643	86	10	,	,	PUNCT
iajs-643	86	11	í	í	PROPN
iajs-643	86	12	and	and	CCONJ
iajs-643	86	13	[	[	PUNCT
iajs-643	86	14	]	]	X
iajs-643	86	15	[	[	PUNCT
iajs-643	86	16	]	]	X
iajs-643	86	17	mla	mla	NOUN
iajs-643	86	18	,	,	PUNCT
iajs-643	86	19	,	,	PUNCT
iajs-643	86	20	ív	ív	ADP
iajs-643	86	21	then	then	ADV
iajs-643	86	22	:	:	PUNCT
iajs-643	86	23	[	[	PUNCT
iajs-643	86	24	]	]	X
iajs-643	86	25	[	[	PUNCT
iajs-643	86	26	]	]	X
iajs-643	86	27	[	[	X
iajs-643	86	28	]	]	X
iajs-643	86	29	[	[	PUNCT
iajs-643	86	30	]	]	X
iajs-643	86	31	[	[	PUNCT
iajs-643	86	32	]	]	X
iajs-643	86	33	[	[	PUNCT
iajs-643	86	34	]	]	X
iajs-643	86	35	[	[	PUNCT
iajs-643	86	36	]	]	X
iajs-643	86	37	mlmlmladb	mlmlmladb	NOUN
iajs-643	86	38	,	,	PUNCT
iajs-643	86	39	,	,	PUNCT
iajs-643	86	40	,	,	PUNCT
iajs-643	86	41	,	,	PUNCT
iajs-643	86	42	,	,	PUNCT
iajs-643	86	43	,	,	PUNCT
iajs-643	86	44	,	,	PUNCT
iajs-643	86	45	íív	íív	VERB
iajs-643	86	46	hence	hence	ADV
iajs-643	86	47	:	:	PUNCT
iajs-643	86	48	[	[	PUNCT
iajs-643	86	49	]	]	X
iajs-643	86	50	[	[	PUNCT
iajs-643	86	51	]	]	X
iajs-643	86	52	[	[	PUNCT
iajs-643	86	53	]	]	X
iajs-643	86	54	[	[	PUNCT
iajs-643	86	55	]	]	X
iajs-643	86	56	mlandb	mlandb	NOUN
iajs-643	86	57	,	,	PUNCT
iajs-643	86	58	,	,	PUNCT
iajs-643	86	59	,	,	PUNCT
iajs-643	86	60	,	,	PUNCT
iajs-643	86	61	í	í	PROPN
iajs-643	86	62	.	.	PUNCT
iajs-643	86	63	proposition	proposition	NOUN
iajs-643	86	64	2	2	NUM
iajs-643	86	65	.	.	NOUN
iajs-643	86	66	13	13	NUM
iajs-643	86	67	let	let	VERB
iajs-643	86	68	ml	ml	NOUN
iajs-643	86	69	,	,	PUNCT
iajs-643	86	70	be	be	AUX
iajs-643	86	71	fuzzy	fuzzy	ADJ
iajs-643	86	72	subsets	subset	NOUN
iajs-643	86	73	of	of	ADP
iajs-643	86	74	g.	g.	PROPN
iajs-643	86	75	then	then	ADV
iajs-643	86	76	:	:	PUNCT
iajs-643	86	77	[	[	PUNCT
iajs-643	86	78	]	]	X
iajs-643	86	79	[	[	PUNCT
iajs-643	86	80	]	]	X
iajs-643	86	81	[	[	PUNCT
iajs-643	86	82	]	]	X
iajs-643	86	83	mlmlml	mlmlml	NOUN
iajs-643	86	84	,	,	PUNCT
iajs-643	86	85	,	,	PUNCT
iajs-643	86	86	,	,	PUNCT
iajs-643	86	87	=	=	NOUN
iajs-643	86	88	o	o	NOUN
iajs-643	86	89	.	.	PUNCT
iajs-643	87	1	proof	proof	NOUN
iajs-643	87	2	:	:	PUNCT
iajs-643	87	3	from	from	ADP
iajs-643	87	4	definition	definition	NOUN
iajs-643	87	5	(	(	PUNCT
iajs-643	87	6	2	2	NUM
iajs-643	87	7	.	.	NOUN
iajs-643	87	8	1	1	NUM
iajs-643	87	9	)	)	PUNCT
iajs-643	87	10	,	,	PUNCT
iajs-643	87	11	[	[	PUNCT
iajs-643	87	12	]	]	X
iajs-643	87	13	ml	ml	X
iajs-643	87	14	,	,	PUNCT
iajs-643	87	15	is	be	AUX
iajs-643	87	16	fuzzy	fuzzy	ADJ
iajs-643	87	17	subgroup	subgroup	NOUN
iajs-643	87	18	of	of	ADP
iajs-643	87	19	g	g	PROPN
iajs-643	87	20	and	and	CCONJ
iajs-643	87	21	by	by	ADP
iajs-643	87	22	theorem	theorem	NOUN
iajs-643	87	23	(	(	PUNCT
iajs-643	87	24	1.6	1.6	NUM
iajs-643	87	25	)	)	PUNCT
iajs-643	87	26	:	:	PUNCT
iajs-643	88	1	[	[	PUNCT
iajs-643	88	2	]	]	X
iajs-643	88	3	[	[	PUNCT
iajs-643	88	4	]	]	X
iajs-643	88	5	[	[	PUNCT
iajs-643	88	6	]	]	X
iajs-643	88	7	mlmlml	mlmlml	NOUN
iajs-643	88	8	,	,	PUNCT
iajs-643	88	9	,	,	PUNCT
iajs-643	88	10	,	,	PUNCT
iajs-643	88	11	ío	ío	ADP
iajs-643	88	12	(	(	PUNCT
iajs-643	88	13	1	1	X
iajs-643	88	14	)	)	PUNCT
iajs-643	88	15	now	now	ADV
iajs-643	88	16	,	,	PUNCT
iajs-643	88	17	let	let	VERB
iajs-643	88	18	gx	gx	PROPN
iajs-643	88	19	î	î	PROPN
iajs-643	89	1	[	[	X
iajs-643	89	2	]	]	X
iajs-643	89	3	[	[	PUNCT
iajs-643	89	4	]	]	X
iajs-643	89	5	(	(	PUNCT
iajs-643	89	6	)	)	PUNCT
iajs-643	89	7	[	[	PUNCT
iajs-643	89	8	]	]	X
iajs-643	89	9	[	[	PUNCT
iajs-643	89	10	]	]	X
iajs-643	89	11	{	{	PUNCT
iajs-643	89	12	}	}	PUNCT
iajs-643	89	13	,	,	PUNCT
iajs-643	89	14	,	,	PUNCT
iajs-643	89	15	(	(	PUNCT
iajs-643	89	16	)	)	PUNCT
iajs-643	89	17	sup	sup	NOUN
iajs-643	89	18	,	,	PUNCT
iajs-643	89	19	(	(	PUNCT
iajs-643	89	20	)	)	PUNCT
iajs-643	89	21	,	,	PUNCT
iajs-643	89	22	(	(	PUNCT
iajs-643	89	23	)	)	PUNCT
iajs-643	89	24	,	,	PUNCT
iajs-643	89	25	*	*	PUNCT
iajs-643	89	26	x	x	X
iajs-643	89	27	a	a	DET
iajs-643	89	28	b	b	NOUN
iajs-643	89	29	x	x	SYM
iajs-643	89	30	a	a	DET
iajs-643	89	31	bl	bl	NOUN
iajs-643	89	32	m	m	PROPN
iajs-643	89	33	l	l	NOUN
iajs-643	89	34	m	m	VERB
iajs-643	89	35	l	l	NOUN
iajs-643	89	36	m	m	VERB
iajs-643	89	37	l	l	NOUN
iajs-643	89	38	m=	m=	X
iajs-643	89	39	ù	ù	X
iajs-643	90	1	=	=	X
iajs-643	90	2	o	o	X
iajs-643	90	3	[	[	PUNCT
iajs-643	90	4	]	]	X
iajs-643	90	5	[	[	PUNCT
iajs-643	90	6	]	]	X
iajs-643	90	7	{	{	PUNCT
iajs-643	90	8	}	}	PUNCT
iajs-643	90	9	xexex	xexex	VERB
iajs-643	90	10	=	=	NOUN
iajs-643	90	11	ù³	ù³	PROPN
iajs-643	90	12	)	)	PUNCT
iajs-643	90	13	,	,	PUNCT
iajs-643	90	14	(	(	PUNCT
iajs-643	90	15	,	,	PUNCT
iajs-643	90	16	)	)	PUNCT
iajs-643	90	17	(	(	PUNCT
iajs-643	90	18	,	,	PUNCT
iajs-643	90	19	mlml	mlml	PROPN
iajs-643	90	20	[	[	PUNCT
iajs-643	90	21	]	]	X
iajs-643	90	22	)	)	PUNCT
iajs-643	90	23	(	(	PUNCT
iajs-643	90	24	,	,	PUNCT
iajs-643	90	25	xml=	xml=	PROPN
iajs-643	90	26	that	that	ADV
iajs-643	90	27	is	be	AUX
iajs-643	90	28	[	[	PUNCT
iajs-643	90	29	]	]	X
iajs-643	90	30	[	[	PUNCT
iajs-643	90	31	]	]	X
iajs-643	90	32	[	[	PUNCT
iajs-643	90	33	]	]	X
iajs-643	90	34	mlmlml	mlmlml	NOUN
iajs-643	90	35	,	,	PUNCT
iajs-643	90	36	,	,	PUNCT
iajs-643	90	37	,	,	PUNCT
iajs-643	90	38	oí	oí	X
iajs-643	90	39	(	(	PUNCT
iajs-643	90	40	2	2	NUM
iajs-643	90	41	)	)	PUNCT
iajs-643	90	42	from	from	ADP
iajs-643	90	43	(	(	PUNCT
iajs-643	90	44	1	1	NUM
iajs-643	90	45	)	)	PUNCT
iajs-643	90	46	and	and	CCONJ
iajs-643	90	47	(	(	PUNCT
iajs-643	90	48	2	2	NUM
iajs-643	90	49	)	)	PUNCT
iajs-643	90	50	,	,	PUNCT
iajs-643	90	51	we	we	PRON
iajs-643	90	52	get	get	VERB
iajs-643	90	53	:	:	PUNCT
iajs-643	90	54	[	[	PUNCT
iajs-643	90	55	]	]	X
iajs-643	90	56	[	[	PUNCT
iajs-643	90	57	]	]	X
iajs-643	90	58	[	[	PUNCT
iajs-643	90	59	]	]	X
iajs-643	90	60	mlmlml	mlmlml	NOUN
iajs-643	90	61	,	,	PUNCT
iajs-643	90	62	,	,	PUNCT
iajs-643	90	63	,	,	PUNCT
iajs-643	91	1	=	=	NOUN
iajs-643	91	2	o	o	NOUN
iajs-643	91	3	.	.	PUNCT
iajs-643	92	1	proposition	proposition	NOUN
iajs-643	92	2	2	2	NUM
iajs-643	92	3	.	.	X
iajs-643	92	4	14	14	NUM
iajs-643	92	5	let	let	VERB
iajs-643	92	6	ndbml	ndbml	ADJ
iajs-643	92	7	,	,	PUNCT
iajs-643	92	8	,	,	PUNCT
iajs-643	92	9	,	,	PUNCT
iajs-643	92	10	,	,	PUNCT
iajs-643	92	11	and	and	CCONJ
iajs-643	92	12	a	a	PRON
iajs-643	92	13	be	be	AUX
iajs-643	92	14	fuzzy	fuzzy	ADJ
iajs-643	92	15	subsets	subset	NOUN
iajs-643	92	16	of	of	ADP
iajs-643	92	17	g	g	NOUN
iajs-643	92	18	,	,	PUNCT
iajs-643	92	19	such	such	ADJ
iajs-643	92	20	that	that	SCONJ
iajs-643	92	21	[	[	X
iajs-643	92	22	]	]	X
iajs-643	92	23	[	[	PUNCT
iajs-643	92	24	]	]	X
iajs-643	92	25	mldb	mldb	NOUN
iajs-643	92	26	,	,	PUNCT
iajs-643	92	27	,	,	PUNCT
iajs-643	92	28	í	í	PROPN
iajs-643	92	29	and	and	CCONJ
iajs-643	92	30	[	[	PUNCT
iajs-643	92	31	]	]	X
iajs-643	92	32	[	[	PUNCT
iajs-643	92	33	]	]	X
iajs-643	92	34	mlan	mlan	NOUN
iajs-643	92	35	,	,	PUNCT
iajs-643	92	36	,	,	PUNCT
iajs-643	92	37	í	í	PROPN
iajs-643	92	38	.	.	PUNCT
iajs-643	93	1	then	then	ADV
iajs-643	93	2	[	[	PUNCT
iajs-643	93	3	]	]	X
iajs-643	93	4	[	[	PUNCT
iajs-643	93	5	]	]	X
iajs-643	93	6	[	[	PUNCT
iajs-643	93	7	]	]	X
iajs-643	93	8	mladb	mladb	NOUN
iajs-643	93	9	,	,	PUNCT
iajs-643	93	10	,	,	PUNCT
iajs-643	93	11	,	,	PUNCT
iajs-643	93	12	ívo	ívo	NOUN
iajs-643	93	13	.	.	PUNCT
iajs-643	94	1	proof	proof	NOUN
iajs-643	94	2	:	:	PUNCT
iajs-643	94	3	for	for	ADP
iajs-643	94	4	all	all	DET
iajs-643	94	5	gx	gx	PROPN
iajs-643	94	6	î	î	PROPN
iajs-643	94	7	,	,	PUNCT
iajs-643	94	8	[	[	PUNCT
iajs-643	94	9	]	]	X
iajs-643	94	10	[	[	PUNCT
iajs-643	94	11	]	]	X
iajs-643	94	12	(	(	PUNCT
iajs-643	94	13	)	)	PUNCT
iajs-643	94	14	[	[	PUNCT
iajs-643	94	15	]	]	X
iajs-643	94	16	[	[	PUNCT
iajs-643	94	17	]	]	X
iajs-643	94	18	{	{	PUNCT
iajs-643	94	19	}	}	PUNCT
iajs-643	94	20	,	,	PUNCT
iajs-643	94	21	,	,	PUNCT
iajs-643	94	22	(	(	PUNCT
iajs-643	94	23	)	)	PUNCT
iajs-643	94	24	sup	sup	NOUN
iajs-643	94	25	,	,	PUNCT
iajs-643	94	26	(	(	PUNCT
iajs-643	94	27	)	)	PUNCT
iajs-643	94	28	,	,	PUNCT
iajs-643	94	29	(	(	PUNCT
iajs-643	94	30	)	)	PUNCT
iajs-643	94	31	,	,	PUNCT
iajs-643	94	32	*	*	PUNCT
iajs-643	94	33	x	x	X
iajs-643	94	34	a	a	DET
iajs-643	94	35	b	b	NOUN
iajs-643	94	36	x	x	SYM
iajs-643	94	37	a	a	PRON
iajs-643	94	38	bb	bb	NOUN
iajs-643	94	39	d	d	PROPN
iajs-643	94	40	n	n	PROPN
iajs-643	94	41	a	a	DET
iajs-643	94	42	b	b	NOUN
iajs-643	94	43	d	d	NOUN
iajs-643	94	44	n	n	ADV
iajs-643	94	45	a=	a=	ADV
iajs-643	94	46	ù	ù	X
iajs-643	95	1	=	=	X
iajs-643	95	2	o	o	X
iajs-643	95	3	[	[	X
iajs-643	95	4	]	]	X
iajs-643	95	5	[	[	PUNCT
iajs-643	95	6	]	]	X
iajs-643	95	7	{	{	PUNCT
iajs-643	95	8	}	}	PUNCT
iajs-643	95	9	sup	sup	NOUN
iajs-643	95	10	,	,	PUNCT
iajs-643	95	11	(	(	PUNCT
iajs-643	95	12	)	)	PUNCT
iajs-643	95	13	,	,	PUNCT
iajs-643	95	14	(	(	PUNCT
iajs-643	95	15	)	)	PUNCT
iajs-643	95	16	,	,	PUNCT
iajs-643	95	17	*	*	PUNCT
iajs-643	95	18	a	a	DET
iajs-643	95	19	b	b	NOUN
iajs-643	95	20	x	x	SYM
iajs-643	95	21	a	a	DET
iajs-643	95	22	bl	bl	NOUN
iajs-643	95	23	m	m	NOUN
iajs-643	95	24	l	l	NOUN
iajs-643	95	25	m£	m£	X
iajs-643	95	26	ù	ù	NOUN
iajs-643	95	27	=	=	PUNCT
iajs-643	96	1	[	[	PUNCT
iajs-643	96	2	]	]	X
iajs-643	96	3	[	[	PUNCT
iajs-643	96	4	]	]	X
iajs-643	96	5	(	(	PUNCT
iajs-643	96	6	)	)	PUNCT
iajs-643	96	7	)	)	PUNCT
iajs-643	96	8	(	(	PUNCT
iajs-643	96	9	,	,	PUNCT
iajs-643	96	10	,	,	PUNCT
iajs-643	96	11	xmlml	xmlml	X
iajs-643	96	12	o=	o=	X
iajs-643	96	13	[	[	PUNCT
iajs-643	96	14	]	]	X
iajs-643	96	15	)	)	PUNCT
iajs-643	96	16	(	(	PUNCT
iajs-643	96	17	,	,	PUNCT
iajs-643	96	18	xml=	xml=	PROPN
iajs-643	96	19	(	(	PUNCT
iajs-643	96	20	by	by	ADP
iajs-643	96	21	proposition	proposition	NOUN
iajs-643	96	22	(	(	PUNCT
iajs-643	96	23	2	2	NUM
iajs-643	96	24	.	.	NOUN
iajs-643	96	25	13	13	NUM
iajs-643	96	26	)	)	PUNCT
iajs-643	96	27	)	)	PUNCT
iajs-643	97	1	hence	hence	ADV
iajs-643	97	2	,	,	PUNCT
iajs-643	97	3	[	[	PUNCT
iajs-643	97	4	]	]	X
iajs-643	97	5	[	[	PUNCT
iajs-643	97	6	]	]	X
iajs-643	97	7	[	[	PUNCT
iajs-643	97	8	]	]	X
iajs-643	97	9	mladb	mladb	NOUN
iajs-643	97	10	,	,	PUNCT
iajs-643	97	11	,	,	PUNCT
iajs-643	97	12	,	,	PUNCT
iajs-643	97	13	ívo	ívo	NOUN
iajs-643	97	14	.	.	PUNCT
iajs-643	98	1	now	now	ADV
iajs-643	98	2	,	,	PUNCT
iajs-643	98	3	we	we	PRON
iajs-643	98	4	can	can	AUX
iajs-643	98	5	give	give	VERB
iajs-643	98	6	the	the	DET
iajs-643	98	7	following	follow	VERB
iajs-643	98	8	corollary	corollary	ADJ
iajs-643	98	9	:	:	PUNCT
iajs-643	98	10	corollary	corollary	ADJ
iajs-643	98	11	2	2	NUM
iajs-643	98	12	.	.	NOUN
iajs-643	98	13	15	15	NUM
iajs-643	98	14	if	if	SCONJ
iajs-643	98	15	ndbml	ndbml	ADJ
iajs-643	98	16	,	,	PUNCT
iajs-643	98	17	,	,	PUNCT
iajs-643	98	18	,	,	PUNCT
iajs-643	98	19	,	,	PUNCT
iajs-643	98	20	and	and	CCONJ
iajs-643	98	21	a	a	PRON
iajs-643	98	22	are	be	AUX
iajs-643	98	23	fuzzy	fuzzy	ADJ
iajs-643	98	24	subsets	subset	NOUN
iajs-643	98	25	of	of	ADP
iajs-643	98	26	g	g	NOUN
iajs-643	98	27	,	,	PUNCT
iajs-643	98	28	such	such	ADJ
iajs-643	98	29	that	that	SCONJ
iajs-643	98	30	[	[	X
iajs-643	98	31	]	]	X
iajs-643	98	32	[	[	PUNCT
iajs-643	98	33	]	]	X
iajs-643	98	34	dmbl	dmbl	ADJ
iajs-643	98	35	,	,	PUNCT
iajs-643	98	36	,	,	PUNCT
iajs-643	98	37	í	í	PROPN
iajs-643	98	38	,	,	PUNCT
iajs-643	98	39	then	then	ADV
iajs-643	98	40	:	:	PUNCT
iajs-643	98	41	(	(	PUNCT
iajs-643	98	42	i	i	NOUN
iajs-643	98	43	)	)	PUNCT
iajs-643	98	44	[	[	PUNCT
iajs-643	98	45	]	]	X
iajs-643	98	46	[	[	PUNCT
iajs-643	98	47	]	]	X
iajs-643	98	48	[	[	PUNCT
iajs-643	98	49	]	]	X
iajs-643	98	50	[	[	PUNCT
iajs-643	98	51	]	]	X
iajs-643	98	52	andmanbl	andmanbl	NOUN
iajs-643	98	53	,	,	PUNCT
iajs-643	98	54	,	,	PUNCT
iajs-643	98	55	,	,	PUNCT
iajs-643	98	56	,	,	PUNCT
iajs-643	98	57	oo	oo	INTJ
iajs-643	98	58	í	í	PROPN
iajs-643	98	59	(	(	PUNCT
iajs-643	98	60	ii	ii	NOUN
iajs-643	98	61	)	)	PUNCT
iajs-643	99	1	[	[	PUNCT
iajs-643	99	2	]	]	X
iajs-643	99	3	[	[	PUNCT
iajs-643	99	4	]	]	X
iajs-643	99	5	[	[	PUNCT
iajs-643	99	6	]	]	X
iajs-643	99	7	dmdmbl	dmdmbl	ADJ
iajs-643	99	8	,	,	PUNCT
iajs-643	99	9	,	,	PUNCT
iajs-643	99	10	,	,	PUNCT
iajs-643	99	11	ío	ío	ADP
iajs-643	99	12	(	(	PUNCT
iajs-643	99	13	iii	iii	X
iajs-643	99	14	)	)	PUNCT
iajs-643	99	15	if	if	SCONJ
iajs-643	99	16	[	[	PUNCT
iajs-643	99	17	]	]	X
iajs-643	99	18	[	[	PUNCT
iajs-643	99	19	]	]	X
iajs-643	99	20	anbl	anbl	NOUN
iajs-643	99	21	,	,	PUNCT
iajs-643	99	22	,	,	PUNCT
iajs-643	99	23	í	í	PROPN
iajs-643	99	24	,	,	PUNCT
iajs-643	99	25	then	then	ADV
iajs-643	99	26	[	[	PUNCT
iajs-643	99	27	]	]	X
iajs-643	99	28	[	[	PUNCT
iajs-643	99	29	]	]	X
iajs-643	99	30	[	[	PUNCT
iajs-643	99	31	]	]	X
iajs-643	99	32	andmbl	andmbl	NOUN
iajs-643	99	33	,	,	PUNCT
iajs-643	99	34	,	,	PUNCT
iajs-643	99	35	,	,	PUNCT
iajs-643	99	36	oí	oí	INTJ
iajs-643	99	37	.	.	PUNCT
iajs-643	100	1	proof	proof	NOUN
iajs-643	100	2	:	:	PUNCT
iajs-643	100	3	the	the	DET
iajs-643	100	4	result	result	NOUN
iajs-643	100	5	follows	follow	VERB
iajs-643	100	6	from	from	ADP
iajs-643	100	7	proposition	proposition	NOUN
iajs-643	100	8	(	(	PUNCT
iajs-643	100	9	2	2	NUM
iajs-643	100	10	.	.	NOUN
iajs-643	100	11	14	14	NUM
iajs-643	100	12	)	)	PUNCT
iajs-643	100	13	.	.	PUNCT
iajs-643	101	1	357	357	NUM
iajs-643	101	2	صرفة	صرفة	NOUN
iajs-643	101	3	و	و	PRON
iajs-643	101	4	التطبيقيةمجلة	التطبيقيةمجلة	VERB
iajs-643	101	5	إبن	إبن	NOUN
iajs-643	101	6	الهيثم	الهيثم	ADJ
iajs-643	101	7	للعلوم	للعلوم	NOUN
iajs-643	101	8	ال	ال	ADP
iajs-643	101	9	2012	2012	NUM
iajs-643	101	10	السنة	السنة	NOUN
iajs-643	101	11	25	25	NUM
iajs-643	101	12	المجلد	المجلد	NOUN
iajs-643	101	13	2	2	NUM
iajs-643	101	14	العدد	العدد	PROPN
iajs-643	101	15	ibn	ibn	PROPN
iajs-643	101	16	al	al	PROPN
iajs-643	101	17	-	-	PUNCT
iajs-643	101	18	haitham	haitham	PROPN
iajs-643	101	19	journal	journal	PROPN
iajs-643	101	20	for	for	ADP
iajs-643	101	21	pure	pure	ADJ
iajs-643	101	22	and	and	CCONJ
iajs-643	101	23	applied	apply	VERB
iajs-643	101	24	science	science	NOUN
iajs-643	101	25	no	no	NOUN
iajs-643	101	26	.	.	NOUN
iajs-643	101	27	2	2	NUM
iajs-643	101	28	vol	vol	NOUN
iajs-643	101	29	.	.	PUNCT
iajs-643	102	1	25	25	NUM
iajs-643	102	2	year	year	NOUN
iajs-643	102	3	2012	2012	NUM
iajs-643	102	4	next	next	ADV
iajs-643	102	5	,	,	PUNCT
iajs-643	102	6	we	we	PRON
iajs-643	102	7	will	will	AUX
iajs-643	102	8	give	give	VERB
iajs-643	102	9	and	and	CCONJ
iajs-643	102	10	prove	prove	VERB
iajs-643	102	11	the	the	DET
iajs-643	102	12	following	follow	VERB
iajs-643	102	13	proposition	proposition	NOUN
iajs-643	102	14	:	:	PUNCT
iajs-643	102	15	proposition	proposition	NOUN
iajs-643	102	16	2	2	NUM
iajs-643	102	17	.	.	X
iajs-643	102	18	16	16	NUM
iajs-643	102	19	let	let	VERB
iajs-643	102	20	[	[	PUNCT
iajs-643	102	21	]	]	X
iajs-643	102	22	[	[	PUNCT
iajs-643	102	23	]	]	X
iajs-643	102	24	dmbl	dmbl	ADJ
iajs-643	102	25	,	,	PUNCT
iajs-643	102	26	,	,	PUNCT
iajs-643	102	27	,	,	PUNCT
iajs-643	102	28	be	be	AUX
iajs-643	102	29	two	two	NUM
iajs-643	102	30	fuzzy	fuzzy	ADJ
iajs-643	102	31	subgroups	subgroup	NOUN
iajs-643	102	32	of	of	ADP
iajs-643	102	33	g.	g.	PROPN
iajs-643	102	34	then	then	ADV
iajs-643	102	35	[	[	PUNCT
iajs-643	102	36	]	]	X
iajs-643	102	37	[	[	PUNCT
iajs-643	102	38	]	]	X
iajs-643	102	39	)	)	PUNCT
iajs-643	102	40	(	(	PUNCT
iajs-643	102	41	,	,	PUNCT
iajs-643	102	42	)	)	PUNCT
iajs-643	102	43	(	(	PUNCT
iajs-643	102	44	,	,	PUNCT
iajs-643	102	45	ee	ee	INTJ
iajs-643	102	46	dmbl	dmbl	NOUN
iajs-643	102	47	=	=	PUNCT
iajs-643	103	1	if	if	SCONJ
iajs-643	103	2	and	and	CCONJ
iajs-643	103	3	only	only	ADV
iajs-643	103	4	if	if	SCONJ
iajs-643	103	5	,	,	PUNCT
iajs-643	103	6	[	[	PUNCT
iajs-643	103	7	]	]	X
iajs-643	103	8	[	[	PUNCT
iajs-643	103	9	]	]	X
iajs-643	103	10	[	[	PUNCT
iajs-643	103	11	]	]	X
iajs-643	103	12	dmblbl	dmblbl	NOUN
iajs-643	103	13	,	,	PUNCT
iajs-643	103	14	,	,	PUNCT
iajs-643	103	15	,	,	PUNCT
iajs-643	103	16	oí	oí	INTJ
iajs-643	103	17	and	and	CCONJ
iajs-643	103	18	[	[	PUNCT
iajs-643	103	19	]	]	X
iajs-643	103	20	[	[	PUNCT
iajs-643	103	21	]	]	X
iajs-643	103	22	[	[	PUNCT
iajs-643	103	23	]	]	X
iajs-643	103	24	dmbldm	dmbldm	NOUN
iajs-643	103	25	,	,	PUNCT
iajs-643	103	26	,	,	PUNCT
iajs-643	103	27	,	,	PUNCT
iajs-643	103	28	oí	oí	INTJ
iajs-643	103	29	.	.	PUNCT
iajs-643	104	1	proof	proof	NOUN
iajs-643	104	2	:	:	PUNCT
iajs-643	104	3	first	first	X
iajs-643	104	4	,	,	PUNCT
iajs-643	104	5	if	if	SCONJ
iajs-643	104	6	[	[	X
iajs-643	104	7	l	l	NOUN
iajs-643	104	8	,	,	PUNCT
iajs-643	104	9	b](e	b](e	ADJ
iajs-643	104	10	)	)	PUNCT
iajs-643	104	11	=	=	PUNCT
iajs-643	105	1	[	[	X
iajs-643	105	2	m	m	NOUN
iajs-643	105	3	,	,	PUNCT
iajs-643	105	4	d](e	d](e	ADJ
iajs-643	105	5	)	)	PUNCT
iajs-643	105	6	,	,	PUNCT
iajs-643	105	7	we	we	PRON
iajs-643	105	8	prove	prove	VERB
iajs-643	105	9	:	:	PUNCT
iajs-643	105	10	[	[	PUNCT
iajs-643	105	11	]	]	X
iajs-643	105	12	[	[	PUNCT
iajs-643	105	13	]	]	X
iajs-643	105	14	[	[	PUNCT
iajs-643	105	15	]	]	X
iajs-643	105	16	dmblbl	dmblbl	NOUN
iajs-643	105	17	,	,	PUNCT
iajs-643	105	18	,	,	PUNCT
iajs-643	105	19	,	,	PUNCT
iajs-643	105	20	oí	oí	INTJ
iajs-643	105	21	and	and	CCONJ
iajs-643	105	22	[	[	PUNCT
iajs-643	105	23	]	]	X
iajs-643	105	24	[	[	PUNCT
iajs-643	105	25	]	]	X
iajs-643	105	26	[	[	PUNCT
iajs-643	105	27	]	]	X
iajs-643	105	28	dmbldm	dmbldm	NOUN
iajs-643	105	29	,	,	PUNCT
iajs-643	105	30	,	,	PUNCT
iajs-643	105	31	,	,	PUNCT
iajs-643	105	32	oí	oí	INTJ
iajs-643	105	33	.	.	PUNCT
iajs-643	106	1	let	let	VERB
iajs-643	106	2	gx	gx	PROPN
iajs-643	106	3	î	î	PROPN
iajs-643	106	4	,	,	PUNCT
iajs-643	106	5	[	[	PUNCT
iajs-643	106	6	]	]	X
iajs-643	106	7	[	[	PUNCT
iajs-643	106	8	]	]	X
iajs-643	106	9	(	(	PUNCT
iajs-643	106	10	)	)	PUNCT
iajs-643	107	1	[	[	PUNCT
iajs-643	107	2	]	]	X
iajs-643	107	3	[	[	PUNCT
iajs-643	107	4	]	]	X
iajs-643	107	5	{	{	PUNCT
iajs-643	107	6	}	}	PUNCT
iajs-643	107	7	,	,	PUNCT
iajs-643	107	8	,	,	PUNCT
iajs-643	107	9	(	(	PUNCT
iajs-643	107	10	)	)	PUNCT
iajs-643	107	11	sup	sup	NOUN
iajs-643	107	12	,	,	PUNCT
iajs-643	107	13	(	(	PUNCT
iajs-643	107	14	)	)	PUNCT
iajs-643	107	15	,	,	PUNCT
iajs-643	107	16	(	(	PUNCT
iajs-643	107	17	)	)	PUNCT
iajs-643	107	18	,	,	PUNCT
iajs-643	107	19	*	*	PUNCT
iajs-643	107	20	x	x	X
iajs-643	107	21	a	a	DET
iajs-643	107	22	b	b	NOUN
iajs-643	107	23	x	x	SYM
iajs-643	107	24	a	a	DET
iajs-643	107	25	bl	bl	PROPN
iajs-643	107	26	b	b	NOUN
iajs-643	107	27	m	m	PROPN
iajs-643	107	28	d	d	NOUN
iajs-643	107	29	l	l	NOUN
iajs-643	107	30	b	b	X
iajs-643	107	31	m	m	VERB
iajs-643	107	32	d=	d=	NOUN
iajs-643	107	33	ù	ù	X
iajs-643	107	34	=	=	SYM
iajs-643	107	35	o	o	X
iajs-643	107	36	[	[	X
iajs-643	107	37	]	]	X
iajs-643	107	38	[	[	PUNCT
iajs-643	107	39	]	]	X
iajs-643	107	40	{	{	PUNCT
iajs-643	107	41	}	}	PUNCT
iajs-643	107	42	,	,	PUNCT
iajs-643	107	43	(	(	PUNCT
iajs-643	107	44	)	)	PUNCT
iajs-643	107	45	,	,	PUNCT
iajs-643	107	46	(	(	PUNCT
iajs-643	107	47	)	)	PUNCT
iajs-643	107	48	,	,	PUNCT
iajs-643	107	49	*	*	PUNCT
iajs-643	107	50	x	x	X
iajs-643	107	51	e	e	NOUN
iajs-643	107	52	x	x	PUNCT
iajs-643	107	53	x	x	PROPN
iajs-643	107	54	el	el	PROPN
iajs-643	107	55	b	b	PROPN
iajs-643	107	56	m	m	VERB
iajs-643	107	57	d³	d³	PROPN
iajs-643	107	58	ù	ù	X
iajs-643	107	59	=	=	PUNCT
iajs-643	108	1	[	[	PUNCT
iajs-643	108	2	]	]	X
iajs-643	108	3	[	[	PUNCT
iajs-643	108	4	]	]	X
iajs-643	108	5	{	{	PUNCT
iajs-643	108	6	}	}	PUNCT
iajs-643	108	7	,	,	PUNCT
iajs-643	108	8	(	(	PUNCT
iajs-643	108	9	)	)	PUNCT
iajs-643	108	10	,	,	PUNCT
iajs-643	108	11	(	(	PUNCT
iajs-643	108	12	)	)	PUNCT
iajs-643	108	13	,	,	PUNCT
iajs-643	108	14	*	*	PUNCT
iajs-643	108	15	x	x	X
iajs-643	108	16	e	e	NOUN
iajs-643	108	17	x	x	PUNCT
iajs-643	108	18	x	x	PROPN
iajs-643	108	19	el	el	PROPN
iajs-643	108	20	b	b	PROPN
iajs-643	108	21	l	l	NOUN
iajs-643	108	22	b=	b=	NOUN
iajs-643	108	23	ù	ù	X
iajs-643	109	1	=	=	PUNCT
iajs-643	109	2	[	[	PUNCT
iajs-643	109	3	]	]	X
iajs-643	109	4	)	)	PUNCT
iajs-643	109	5	(	(	PUNCT
iajs-643	109	6	,	,	PUNCT
iajs-643	109	7	xbl=	xbl=	PROPN
iajs-643	109	8	that	that	PRON
iajs-643	109	9	is	be	AUX
iajs-643	109	10	,	,	PUNCT
iajs-643	109	11	[	[	PUNCT
iajs-643	109	12	]	]	X
iajs-643	109	13	[	[	PUNCT
iajs-643	109	14	]	]	X
iajs-643	109	15	[	[	PUNCT
iajs-643	109	16	]	]	X
iajs-643	109	17	(	(	PUNCT
iajs-643	109	18	)	)	PUNCT
iajs-643	109	19	)	)	PUNCT
iajs-643	109	20	(	(	PUNCT
iajs-643	109	21	,	,	PUNCT
iajs-643	109	22	,	,	PUNCT
iajs-643	109	23	)	)	PUNCT
iajs-643	109	24	(	(	PUNCT
iajs-643	109	25	,	,	PUNCT
iajs-643	109	26	xx	xx	PRON
iajs-643	109	27	dmblbl	dmblbl	VERB
iajs-643	109	28	o£	o£	ADV
iajs-643	109	29	for	for	ADP
iajs-643	109	30	all	all	PRON
iajs-643	109	31	gx	gx	PROPN
iajs-643	109	32	î	î	PROPN
iajs-643	109	33	.	.	PUNCT
iajs-643	110	1	hence	hence	ADV
iajs-643	110	2	,	,	PUNCT
iajs-643	110	3	[	[	PUNCT
iajs-643	110	4	]	]	X
iajs-643	110	5	[	[	PUNCT
iajs-643	110	6	]	]	X
iajs-643	110	7	[	[	PUNCT
iajs-643	110	8	]	]	X
iajs-643	110	9	dmblbl	dmblbl	NOUN
iajs-643	110	10	,	,	PUNCT
iajs-643	110	11	,	,	PUNCT
iajs-643	110	12	,	,	PUNCT
iajs-643	110	13	oí	oí	VERB
iajs-643	110	14	also	also	ADV
iajs-643	110	15	,	,	PUNCT
iajs-643	110	16	[	[	PUNCT
iajs-643	110	17	]	]	X
iajs-643	110	18	[	[	PUNCT
iajs-643	110	19	]	]	X
iajs-643	110	20	(	(	PUNCT
iajs-643	110	21	)	)	PUNCT
iajs-643	110	22	[	[	PUNCT
iajs-643	110	23	]	]	X
iajs-643	110	24	[	[	PUNCT
iajs-643	110	25	]	]	X
iajs-643	110	26	{	{	PUNCT
iajs-643	110	27	}	}	PUNCT
iajs-643	110	28	,	,	PUNCT
iajs-643	110	29	,	,	PUNCT
iajs-643	110	30	(	(	PUNCT
iajs-643	110	31	)	)	PUNCT
iajs-643	110	32	sup	sup	NOUN
iajs-643	110	33	,	,	PUNCT
iajs-643	110	34	(	(	PUNCT
iajs-643	110	35	)	)	PUNCT
iajs-643	110	36	,	,	PUNCT
iajs-643	110	37	(	(	PUNCT
iajs-643	110	38	)	)	PUNCT
iajs-643	110	39	,	,	PUNCT
iajs-643	110	40	*	*	PUNCT
iajs-643	110	41	x	x	X
iajs-643	110	42	a	a	DET
iajs-643	110	43	b	b	NOUN
iajs-643	110	44	x	x	SYM
iajs-643	110	45	a	a	DET
iajs-643	110	46	bl	bl	PROPN
iajs-643	110	47	b	b	NOUN
iajs-643	110	48	m	m	PROPN
iajs-643	110	49	d	d	NOUN
iajs-643	110	50	l	l	NOUN
iajs-643	110	51	b	b	X
iajs-643	110	52	m	m	VERB
iajs-643	110	53	d=	d=	NOUN
iajs-643	110	54	ù	ù	X
iajs-643	110	55	=	=	SYM
iajs-643	110	56	o	o	X
iajs-643	110	57	[	[	X
iajs-643	110	58	]	]	X
iajs-643	110	59	[	[	PUNCT
iajs-643	110	60	]	]	X
iajs-643	110	61	{	{	PUNCT
iajs-643	110	62	}	}	PUNCT
iajs-643	110	63	,	,	PUNCT
iajs-643	110	64	(	(	PUNCT
iajs-643	110	65	)	)	PUNCT
iajs-643	110	66	,	,	PUNCT
iajs-643	110	67	(	(	PUNCT
iajs-643	110	68	)	)	PUNCT
iajs-643	110	69	,	,	PUNCT
iajs-643	110	70	*	*	PUNCT
iajs-643	110	71	e	e	NOUN
iajs-643	110	72	x	x	PUNCT
iajs-643	110	73	x	x	PUNCT
iajs-643	110	74	e	e	PROPN
iajs-643	110	75	xl	xl	PROPN
iajs-643	110	76	b	b	PROPN
iajs-643	110	77	m	m	PROPN
iajs-643	110	78	d³	d³	PROPN
iajs-643	110	79	ù	ù	X
iajs-643	110	80	=	=	PUNCT
iajs-643	111	1	[	[	PUNCT
iajs-643	111	2	]	]	X
iajs-643	111	3	[	[	PUNCT
iajs-643	111	4	]	]	X
iajs-643	111	5	{	{	PUNCT
iajs-643	111	6	}	}	PUNCT
iajs-643	111	7	,	,	PUNCT
iajs-643	111	8	(	(	PUNCT
iajs-643	111	9	)	)	PUNCT
iajs-643	111	10	,	,	PUNCT
iajs-643	111	11	(	(	PUNCT
iajs-643	111	12	)	)	PUNCT
iajs-643	111	13	,	,	PUNCT
iajs-643	111	14	*	*	PUNCT
iajs-643	111	15	e	e	NOUN
iajs-643	111	16	x	x	PUNCT
iajs-643	111	17	x	x	PUNCT
iajs-643	111	18	e	e	NOUN
iajs-643	111	19	xm	xm	PROPN
iajs-643	111	20	d	d	PROPN
iajs-643	111	21	m	m	VERB
iajs-643	111	22	d=	d=	NUM
iajs-643	111	23	ù	ù	X
iajs-643	111	24	=	=	PUNCT
iajs-643	111	25	[	[	PUNCT
iajs-643	111	26	]	]	X
iajs-643	111	27	)	)	PUNCT
iajs-643	111	28	(	(	PUNCT
iajs-643	111	29	,	,	PUNCT
iajs-643	111	30	xdm=	xdm=	PROPN
iajs-643	111	31	that	that	ADV
iajs-643	111	32	is	be	AUX
iajs-643	111	33	[	[	PUNCT
iajs-643	111	34	]	]	X
iajs-643	111	35	[	[	PUNCT
iajs-643	111	36	]	]	X
iajs-643	111	37	[	[	PUNCT
iajs-643	111	38	]	]	X
iajs-643	111	39	(	(	PUNCT
iajs-643	111	40	)	)	PUNCT
iajs-643	111	41	gxallforxx	gxallforxx	PROPN
iajs-643	111	42	î£	î£	NOUN
iajs-643	111	43	)	)	PUNCT
iajs-643	111	44	(	(	PUNCT
iajs-643	111	45	,	,	PUNCT
iajs-643	111	46	,	,	PUNCT
iajs-643	111	47	)	)	PUNCT
iajs-643	111	48	(	(	PUNCT
iajs-643	111	49	,	,	PUNCT
iajs-643	111	50	dmbldm	dmbldm	NOUN
iajs-643	111	51	o	o	NOUN
iajs-643	111	52	hence	hence	ADV
iajs-643	111	53	[	[	X
iajs-643	111	54	]	]	X
iajs-643	111	55	[	[	PUNCT
iajs-643	111	56	]	]	X
iajs-643	111	57	[	[	PUNCT
iajs-643	111	58	]	]	X
iajs-643	111	59	dmbldm	dmbldm	NOUN
iajs-643	111	60	,	,	PUNCT
iajs-643	111	61	,	,	PUNCT
iajs-643	111	62	,	,	PUNCT
iajs-643	111	63	oí	oí	INTJ
iajs-643	111	64	.	.	PUNCT
iajs-643	112	1	conversely	conversely	ADV
iajs-643	112	2	,	,	PUNCT
iajs-643	112	3	we	we	PRON
iajs-643	112	4	prove	prove	VERB
iajs-643	112	5	[	[	PUNCT
iajs-643	112	6	]	]	X
iajs-643	112	7	[	[	PUNCT
iajs-643	112	8	]	]	X
iajs-643	112	9	)	)	PUNCT
iajs-643	112	10	(	(	PUNCT
iajs-643	112	11	,	,	PUNCT
iajs-643	112	12	)	)	PUNCT
iajs-643	112	13	(	(	PUNCT
iajs-643	112	14	,	,	PUNCT
iajs-643	112	15	ee	ee	INTJ
iajs-643	112	16	dmbl	dmbl	PROPN
iajs-643	112	17	=	=	PUNCT
iajs-643	112	18	.	.	PUNCT
iajs-643	113	1	suppose	suppose	VERB
iajs-643	113	2	[	[	PUNCT
iajs-643	113	3	]	]	X
iajs-643	113	4	[	[	PUNCT
iajs-643	113	5	]	]	X
iajs-643	113	6	)	)	PUNCT
iajs-643	113	7	(	(	PUNCT
iajs-643	113	8	,	,	PUNCT
iajs-643	113	9	)	)	PUNCT
iajs-643	113	10	(	(	PUNCT
iajs-643	113	11	,	,	PUNCT
iajs-643	113	12	ee	ee	PROPN
iajs-643	113	13	dmbl	dmbl	PROPN
iajs-643	113	14	¹	¹	PROPN
iajs-643	113	15	,	,	PUNCT
iajs-643	113	16	then	then	ADV
iajs-643	113	17	if	if	SCONJ
iajs-643	113	18	[	[	PUNCT
iajs-643	113	19	]	]	X
iajs-643	113	20	[	[	PUNCT
iajs-643	113	21	]	]	X
iajs-643	113	22	)	)	PUNCT
iajs-643	113	23	(	(	PUNCT
iajs-643	113	24	,	,	PUNCT
iajs-643	113	25	)	)	PUNCT
iajs-643	113	26	(	(	PUNCT
iajs-643	113	27	,	,	PUNCT
iajs-643	113	28	ee	ee	PROPN
iajs-643	113	29	dmbl	dmbl	PROPN
iajs-643	113	30	³	³	PROPN
iajs-643	113	31	.	.	PUNCT
iajs-643	114	1	[	[	PUNCT
iajs-643	114	2	]	]	X
iajs-643	114	3	[	[	PUNCT
iajs-643	114	4	]	]	X
iajs-643	114	5	[	[	PUNCT
iajs-643	114	6	]	]	X
iajs-643	114	7	(	(	PUNCT
iajs-643	114	8	)	)	PUNCT
iajs-643	114	9	)	)	PUNCT
iajs-643	114	10	(	(	PUNCT
iajs-643	114	11	,	,	PUNCT
iajs-643	114	12	,	,	PUNCT
iajs-643	114	13	)	)	PUNCT
iajs-643	114	14	(	(	PUNCT
iajs-643	114	15	,	,	PUNCT
iajs-643	114	16	ee	ee	PART
iajs-643	114	17	dmblbl	dmblbl	VERB
iajs-643	114	18	o£	o£	PRON
iajs-643	114	19	[	[	PUNCT
iajs-643	114	20	]	]	X
iajs-643	114	21	[	[	PUNCT
iajs-643	114	22	]	]	X
iajs-643	114	23	{	{	PUNCT
iajs-643	114	24	}	}	PUNCT
iajs-643	114	25	sup	sup	NOUN
iajs-643	114	26	,	,	PUNCT
iajs-643	114	27	(	(	PUNCT
iajs-643	114	28	)	)	PUNCT
iajs-643	114	29	,	,	PUNCT
iajs-643	114	30	(	(	PUNCT
iajs-643	114	31	)	)	PUNCT
iajs-643	114	32	,	,	PUNCT
iajs-643	114	33	*	*	PUNCT
iajs-643	114	34	a	a	DET
iajs-643	114	35	b	b	X
iajs-643	114	36	e	e	X
iajs-643	114	37	a	a	PROPN
iajs-643	114	38	bl	bl	PROPN
iajs-643	114	39	b	b	PROPN
iajs-643	114	40	m	m	VERB
iajs-643	114	41	d=	d=	NOUN
iajs-643	114	42	ù	ù	NOUN
iajs-643	114	43	=	=	PUNCT
iajs-643	115	1	[	[	PUNCT
iajs-643	115	2	]	]	X
iajs-643	115	3	[	[	PUNCT
iajs-643	115	4	]	]	X
iajs-643	115	5	{	{	PUNCT
iajs-643	115	6	}	}	PUNCT
iajs-643	115	7	,	,	PUNCT
iajs-643	115	8	(	(	PUNCT
iajs-643	115	9	)	)	PUNCT
iajs-643	115	10	,	,	PUNCT
iajs-643	115	11	(	(	PUNCT
iajs-643	115	12	)	)	PUNCT
iajs-643	115	13	,	,	PUNCT
iajs-643	115	14	*	*	PUNCT
iajs-643	115	15	e	e	X
iajs-643	115	16	b	b	X
iajs-643	115	17	e	e	X
iajs-643	115	18	e	e	PROPN
iajs-643	115	19	el	el	PROPN
iajs-643	115	20	b	b	PROPN
iajs-643	115	21	m	m	PROPN
iajs-643	115	22	d£	d£	NOUN
iajs-643	115	23	ù	ù	X
iajs-643	116	1	=	=	PUNCT
iajs-643	116	2	[	[	PUNCT
iajs-643	116	3	]	]	X
iajs-643	116	4	)	)	PUNCT
iajs-643	116	5	(	(	PUNCT
iajs-643	116	6	,	,	PUNCT
iajs-643	116	7	edm=	edm=	NOUN
iajs-643	116	8	that	that	PRON
iajs-643	116	9	is	be	AUX
iajs-643	116	10	[	[	PUNCT
iajs-643	116	11	]	]	X
iajs-643	116	12	[	[	PUNCT
iajs-643	116	13	]	]	X
iajs-643	116	14	)	)	PUNCT
iajs-643	116	15	(	(	PUNCT
iajs-643	116	16	,	,	PUNCT
iajs-643	116	17	)	)	PUNCT
iajs-643	116	18	(	(	PUNCT
iajs-643	116	19	,	,	PUNCT
iajs-643	116	20	ee	ee	AUX
iajs-643	116	21	dmbl	dmbl	PROPN
iajs-643	116	22	£	£	PROPN
iajs-643	116	23	,	,	PUNCT
iajs-643	116	24	which	which	PRON
iajs-643	116	25	is	be	AUX
iajs-643	116	26	a	a	DET
iajs-643	116	27	contradiction	contradiction	NOUN
iajs-643	116	28	.	.	PUNCT
iajs-643	117	1	now	now	ADV
iajs-643	117	2	,	,	PUNCT
iajs-643	117	3	if	if	SCONJ
iajs-643	117	4	[	[	PUNCT
iajs-643	117	5	]	]	X
iajs-643	117	6	[	[	PUNCT
iajs-643	117	7	]	]	X
iajs-643	117	8	)	)	PUNCT
iajs-643	117	9	(	(	PUNCT
iajs-643	117	10	,	,	PUNCT
iajs-643	117	11	)	)	PUNCT
iajs-643	117	12	(	(	PUNCT
iajs-643	117	13	,	,	PUNCT
iajs-643	117	14	ee	ee	PROPN
iajs-643	117	15	bldm	bldm	PROPN
iajs-643	117	16	³	³	PROPN
iajs-643	117	17	,	,	PUNCT
iajs-643	117	18	then	then	ADV
iajs-643	117	19	in	in	ADP
iajs-643	117	20	the	the	DET
iajs-643	117	21	same	same	ADJ
iajs-643	117	22	way	way	NOUN
iajs-643	117	23	we	we	PRON
iajs-643	117	24	get	get	VERB
iajs-643	117	25	a	a	DET
iajs-643	117	26	contradiction	contradiction	NOUN
iajs-643	117	27	.	.	PUNCT
iajs-643	118	1	therefore	therefore	ADV
iajs-643	118	2	[	[	PUNCT
iajs-643	118	3	]	]	X
iajs-643	118	4	[	[	PUNCT
iajs-643	118	5	]	]	X
iajs-643	118	6	)	)	PUNCT
iajs-643	118	7	(	(	PUNCT
iajs-643	118	8	,	,	PUNCT
iajs-643	118	9	)	)	PUNCT
iajs-643	118	10	(	(	PUNCT
iajs-643	118	11	,	,	PUNCT
iajs-643	118	12	ee	ee	INTJ
iajs-643	118	13	dmbl	dmbl	PROPN
iajs-643	118	14	=	=	PUNCT
iajs-643	118	15	.	.	PUNCT
iajs-643	119	1	references	reference	NOUN
iajs-643	119	2	1	1	NUM
iajs-643	119	3	.malik	.malik	NOUN
iajs-643	119	4	.	.	PUNCT
iajs-643	120	1	d.s	d.s	PROPN
iajs-643	120	2	.	.	PROPN
iajs-643	120	3	,	,	PUNCT
iajs-643	120	4	mordeson	mordeson	NOUN
iajs-643	120	5	.	.	PUNCT
iajs-643	121	1	j.	j.	PROPN
iajs-643	121	2	n.	n.	PROPN
iajs-643	121	3	and	and	CCONJ
iajs-643	121	4	nair	nair	NOUN
iajs-643	121	5	.	.	PUNCT
iajs-643	122	1	p.	p.	PROPN
iajs-643	122	2	s.	s.	PROPN
iajs-643	122	3	,	,	PUNCT
iajs-643	122	4	(	(	PUNCT
iajs-643	122	5	1992	1992	NUM
iajs-643	122	6	)	)	PUNCT
iajs-643	122	7	”	"	PUNCT
iajs-643	122	8	fuzzy	fuzzy	ADJ
iajs-643	122	9	generators	generator	NOUN
iajs-643	122	10	and	and	CCONJ
iajs-643	122	11	fuzzy	fuzzy	ADJ
iajs-643	122	12	direct	direct	ADJ
iajs-643	122	13	sums	sum	NOUN
iajs-643	122	14	of	of	ADP
iajs-643	122	15	abelian	abelian	ADJ
iajs-643	122	16	groups	group	NOUN
iajs-643	122	17	”	"	PUNCT
iajs-643	122	18	,	,	PUNCT
iajs-643	122	19	fuzzy	fuzzy	ADJ
iajs-643	122	20	sets	set	NOUN
iajs-643	122	21	and	and	CCONJ
iajs-643	122	22	systems,.50	systems,.50	PROPN
iajs-643	122	23	,	,	PUNCT
iajs-643	122	24	193	193	NUM
iajs-643	122	25	-	-	SYM
iajs-643	122	26	199	199	NUM
iajs-643	122	27	,	,	PUNCT
iajs-643	122	28	2.majeed.s.n	2.majeed.s.n	NUM
iajs-643	122	29	.	.	NOUN
iajs-643	122	30	,	,	PUNCT
iajs-643	122	31	(	(	PUNCT
iajs-643	122	32	1999)”on	1999)”on	NUM
iajs-643	122	33	fuzzy	fuzzy	ADJ
iajs-643	122	34	subgroups	subgroup	NOUN
iajs-643	122	35	of	of	ADP
iajs-643	122	36	abelian	abelian	ADJ
iajs-643	122	37	groups”,m.sc	groups”,m.sc	PROPN
iajs-643	122	38	.	.	PUNCT
iajs-643	123	1	thesis	thesis	NOUN
iajs-643	123	2	,	,	PUNCT
iajs-643	123	3	university	university	NOUN
iajs-643	123	4	of	of	ADP
iajs-643	123	5	baghdad	baghdad	PROPN
iajs-643	123	6	,	,	PUNCT
iajs-643	123	7	.	.	PUNCT
iajs-643	124	1	3.mordesn	3.mordesn	NUM
iajs-643	124	2	j.n	j.n	PROPN
iajs-643	124	3	.	.	PROPN
iajs-643	124	4	,	,	PUNCT
iajs-643	124	5	(	(	PUNCT
iajs-643	124	6	1996)”l	1996)”l	NUM
iajs-643	124	7	-	-	NOUN
iajs-643	124	8	subspaces	subspace	NOUN
iajs-643	124	9	and	and	CCONJ
iajs-643	124	10	l	l	NOUN
iajs-643	124	11	-	-	NOUN
iajs-643	124	12	subfields	subfield	NOUN
iajs-643	124	13	”	"	PUNCT
iajs-643	124	14	,	,	PUNCT
iajs-643	124	15	.	.	PUNCT
iajs-643	125	1	4.hussein	4.hussein	X
iajs-643	125	2	.	.	PUNCT
iajs-643	126	1	r.	r.	PROPN
iajs-643	126	2	w.	w.	PROPN
iajs-643	126	3	,	,	PUNCT
iajs-643	126	4	(	(	PUNCT
iajs-643	126	5	1999)”some	1999)”some	NUM
iajs-643	126	6	results	result	NOUN
iajs-643	126	7	of	of	ADP
iajs-643	126	8	fuzzy	fuzzy	ADJ
iajs-643	126	9	rings	ring	NOUN
iajs-643	126	10	”	"	PUNCT
iajs-643	126	11	,	,	PUNCT
iajs-643	126	12	m.sc	m.sc	PROPN
iajs-643	126	13	.	.	PUNCT
iajs-643	127	1	thesis	thesis	NOUN
iajs-643	127	2	,	,	PUNCT
iajs-643	127	3	university	university	NOUN
iajs-643	127	4	of	of	ADP
iajs-643	127	5	baghdad	baghdad	PROPN
iajs-643	127	6	,	,	PUNCT
iajs-643	127	7	.	.	PUNCT
iajs-643	128	1	358	358	NUM
iajs-643	128	2	صرفة	صرفة	VERB
iajs-643	128	3	و	و	PRON
iajs-643	128	4	التطبيقيةمجلة	التطبيقيةمجلة	VERB
iajs-643	128	5	إبن	إبن	NOUN
iajs-643	128	6	الهيثم	الهيثم	ADJ
iajs-643	128	7	للعلوم	للعلوم	NOUN
iajs-643	128	8	ال	ال	ADP
iajs-643	128	9	2012	2012	NUM
iajs-643	128	10	السنة	السنة	NOUN
iajs-643	129	1	25	25	NUM
iajs-643	129	2	المجلد	المجلد	NOUN
iajs-643	129	3	2	2	NUM
iajs-643	129	4	العدد	العدد	PROPN
iajs-643	129	5	ibn	ibn	PROPN
iajs-643	129	6	al	al	PROPN
iajs-643	129	7	-	-	PUNCT
iajs-643	129	8	haitham	haitham	PROPN
iajs-643	129	9	journal	journal	PROPN
iajs-643	129	10	for	for	ADP
iajs-643	129	11	pure	pure	ADJ
iajs-643	129	12	and	and	CCONJ
iajs-643	129	13	applied	apply	VERB
iajs-643	129	14	science	science	NOUN
iajs-643	129	15	no	no	NOUN
iajs-643	129	16	.	.	NOUN
iajs-643	129	17	2	2	NUM
iajs-643	129	18	vol	vol	NOUN
iajs-643	129	19	.	.	PUNCT
iajs-643	130	1	25	25	NUM
iajs-643	130	2	year	year	NOUN
iajs-643	130	3	2012	2012	NUM
iajs-643	130	4	5.liu	5.liu	NOUN
iajs-643	130	5	.	.	PUNCT
iajs-643	131	1	w.j	w.j	PROPN
iajs-643	131	2	.	.	PROPN
iajs-643	131	3	,	,	PUNCT
iajs-643	131	4	(	(	PUNCT
iajs-643	131	5	1982	1982	NUM
iajs-643	131	6	)	)	PUNCT
iajs-643	131	7	”	"	PUNCT
iajs-643	131	8	fuzzy	fuzzy	ADJ
iajs-643	131	9	invariant	invariant	ADJ
iajs-643	131	10	subgroups	subgroup	NOUN
iajs-643	131	11	and	and	CCONJ
iajs-643	131	12	fuzzy	fuzzy	ADJ
iajs-643	131	13	ideals	ideal	NOUN
iajs-643	131	14	”	"	PUNCT
iajs-643	131	15	,	,	PUNCT
iajs-643	131	16	fuzzy	fuzzy	ADJ
iajs-643	131	17	sets	set	NOUN
iajs-643	131	18	and	and	CCONJ
iajs-643	131	19	systems	system	NOUN
iajs-643	131	20	.	.	PUNCT
iajs-643	132	1	l.8	l.8	PUNCT
iajs-643	132	2	.	.	PUNCT
iajs-643	133	1	133	133	NUM
iajs-643	133	2	-	-	SYM
iajs-643	133	3	139	139	NUM
iajs-643	133	4	,	,	PUNCT
iajs-643	133	5	.	.	PUNCT
iajs-643	134	1	6.abou	6.abou	X
iajs-643	134	2	-	-	PUNCT
iajs-643	134	3	zaid	zaid	PROPN
iajs-643	134	4	.	.	PROPN
iajs-643	134	5	,	,	PUNCT
iajs-643	134	6	(	(	PUNCT
iajs-643	134	7	1988	1988	NUM
iajs-643	134	8	)	)	PUNCT
iajs-643	134	9	”	"	PUNCT
iajs-643	134	10	on	on	ADP
iajs-643	134	11	normal	normal	ADJ
iajs-643	134	12	fuzzy	fuzzy	ADJ
iajs-643	134	13	subgroups	subgroup	NOUN
iajs-643	134	14	”	"	PUNCT
iajs-643	134	15	,	,	PUNCT
iajs-643	134	16	j.facu.edu	j.facu.edu	PROPN
iajs-643	134	17	.	.	PUNCT
iajs-643	134	18	,.13	,.13	PROPN
iajs-643	134	19	,	,	PUNCT
iajs-643	134	20	.	.	PUNCT
iajs-643	135	1	7	7	X
iajs-643	135	2	.	.	X
iajs-643	135	3	seselja	seselja	PROPN
iajs-643	135	4	.b	.b	PROPN
iajs-643	136	1	and	and	CCONJ
iajs-643	136	2	tepavcevic	tepavcevic	ADJ
iajs-643	136	3	a.	a.	NOUN
iajs-643	136	4	,	,	PUNCT
iajs-643	136	5	(	(	PUNCT
iajs-643	136	6	1997	1997	NUM
iajs-643	136	7	)	)	PUNCT
iajs-643	136	8	“	"	PUNCT
iajs-643	136	9	anote	anote	VERB
iajs-643	136	10	on	on	ADP
iajs-643	136	11	fuzzy	fuzzy	ADJ
iajs-643	136	12	groups	group	NOUN
iajs-643	136	13	”	"	PUNCT
iajs-643	136	14	,	,	PUNCT
iajs-643	136	15	j.yugoslav	j.yugoslav	NOUN
iajs-643	136	16	.	.	PUNCT
iajs-643	137	1	oper	oper	PROPN
iajs-643	137	2	.	.	PUNCT
iajs-643	137	3	rese	rese	PROPN
iajs-643	137	4	,	,	PUNCT
iajs-643	137	5	.7	.7	PROPN
iajs-643	137	6	,	,	PUNCT
iajs-643	137	7	no.1	no.1	NUM
iajs-643	137	8	,	,	PUNCT
iajs-643	137	9	pp.49	pp.49	NOUN
iajs-643	137	10	-	-	PUNCT
iajs-643	137	11	54	54	NUM
iajs-643	137	12	,	,	PUNCT
iajs-643	137	13	.	.	PUNCT
iajs-643	138	1	8.gupta	8.gupta	NUM
iajs-643	138	2	k.c	k.c	NOUN
iajs-643	138	3	and	and	CCONJ
iajs-643	138	4	sarma	sarma	PROPN
iajs-643	138	5	b.k	b.k	PROPN
iajs-643	138	6	.	.	PROPN
iajs-643	138	7	,	,	PUNCT
iajs-643	138	8	(	(	PUNCT
iajs-643	138	9	1999	1999	NUM
iajs-643	138	10	)	)	PUNCT
iajs-643	138	11	“	"	PUNCT
iajs-643	138	12	nilpotent	nilpotent	ADJ
iajs-643	138	13	fuzzy	fuzzy	ADJ
iajs-643	138	14	groups	group	NOUN
iajs-643	138	15	”	"	PUNCT
iajs-643	138	16	,	,	PUNCT
iajs-643	138	17	fuzzy	fuzzy	ADJ
iajs-643	138	18	set	set	NOUN
iajs-643	138	19	and	and	CCONJ
iajs-643	138	20	systems	system	NOUN
iajs-643	138	21	,	,	PUNCT
iajs-643	138	22	.101,.167	.101,.167	NOUN
iajs-643	138	23	-	-	X
iajs-643	138	24	176	176	NUM
iajs-643	138	25	,	,	PUNCT
iajs-643	138	26	.	.	PUNCT
iajs-643	139	1	9.seselja	9.seselja	NUM
iajs-643	139	2	.	.	PUNCT
iajs-643	140	1	b	b	X
iajs-643	140	2	.	.	PUNCT
iajs-643	141	1	and	and	CCONJ
iajs-643	141	2	tepavcevic	tepavcevic	ADJ
iajs-643	141	3	a.	a.	NOUN
iajs-643	141	4	,	,	PUNCT
iajs-643	141	5	(	(	PUNCT
iajs-643	141	6	1996	1996	NUM
iajs-643	141	7	)	)	PUNCT
iajs-643	141	8	“	"	PUNCT
iajs-643	141	9	fuzzy	fuzzy	ADJ
iajs-643	141	10	groups	group	NOUN
iajs-643	141	11	and	and	CCONJ
iajs-643	141	12	collections	collection	NOUN
iajs-643	141	13	of	of	ADP
iajs-643	141	14	subgroups	subgroup	NOUN
iajs-643	141	15	”	"	PUNCT
iajs-643	141	16	,	,	PUNCT
iajs-643	141	17	fuzzy	fuzzy	ADJ
iajs-643	141	18	sets	set	NOUN
iajs-643	141	19	and	and	CCONJ
iajs-643	141	20	systems	system	NOUN
iajs-643	141	21	,	,	PUNCT
iajs-643	141	22	.83	.83	NUM
iajs-643	141	23	,	,	PUNCT
iajs-643	141	24	.85	.85	NUM
iajs-643	141	25	-	-	SYM
iajs-643	141	26	91	91	NUM
iajs-643	141	27	,	,	PUNCT
iajs-643	141	28	.	.	PUNCT
iajs-643	142	1	10.bandler	10.bandler	X
iajs-643	142	2	.	.	PUNCT
iajs-643	143	1	w.	w.	PROPN
iajs-643	143	2	and	and	CCONJ
iajs-643	143	3	kohout	kohout	PROPN
iajs-643	143	4	.	.	PUNCT
iajs-643	144	1	l.	l.	PROPN
iajs-643	144	2	,	,	PUNCT
iajs-643	144	3	(	(	PUNCT
iajs-643	144	4	2000	2000	NUM
iajs-643	144	5	)	)	PUNCT
iajs-643	144	6	semantics	semantic	NOUN
iajs-643	144	7	of	of	ADP
iajs-643	144	8	implication	implication	NOUN
iajs-643	144	9	operators	operator	NOUN
iajs-643	144	10	and	and	CCONJ
iajs-643	144	11	fuzzy	fuzzy	ADJ
iajs-643	144	12	relational	relational	ADJ
iajs-643	144	13	products	product	NOUN
iajs-643	144	14	,	,	PUNCT
iajs-643	144	15	internat	internat	PROPN
iajs-643	144	16	.	.	PUNCT
iajs-643	145	1	j.	j.	PROPN
iajs-643	145	2	manmachine	manmachine	PROPN
iajs-643	145	3	studies	study	VERB
iajs-643	145	4	12	12	NUM
iajs-643	145	5	89	89	NUM
iajs-643	145	6	-116	-116	PROPN
iajs-643	145	7	.	.	PUNCT
iajs-643	146	1	المبادل	المبادل	PROPN
iajs-643	146	2	لمجموعتان	لمجموعتان	PROPN
iajs-643	146	3	جزئيتان	جزئيتان	PROPN
iajs-643	146	4	ضبابيتان	ضبابيتان	VERB
iajs-643	146	5	رجاء	رجاء	PROPN
iajs-643	146	6	حامد	حامد	PROPN
iajs-643	146	7	شهاب	شهاب	PROPN
iajs-643	146	8	¡	¡	PROPN
iajs-643	146	9	لمى	لمى	X
iajs-643	146	10	ناجي	ناجي	ADJ
iajs-643	146	11	محمد	محمد	PROPN
iajs-643	146	12	توفيق	توفيق	NOUN
iajs-643	146	13	.جامعة	.جامعة	ADP
iajs-643	146	14	بغداد	بغداد	PROPN
iajs-643	146	15	–	–	PUNCT
iajs-643	146	16	كلية	كلية	NOUN
iajs-643	146	17	التربية	التربية	NOUN
iajs-643	146	18	أبن	أبن	NOUN
iajs-643	146	19	الهيثم	الهيثم	ADJ
iajs-643	146	20	–	–	PUNCT
iajs-643	146	21	قسم	قسم	PROPN
iajs-643	146	22	الرياضيات	الرياضيات	PROPN
iajs-643	146	23	.2011نيسان	.2011نيسان	NOUN
iajs-643	146	24	12قبل	12قبل	PROPN
iajs-643	146	25	البحث	البحث	VERB
iajs-643	146	26	في	في	ADP
iajs-643	146	27	ñçðç2011	ñçðç2011	NOUN
iajs-643	146	28	2	2	NUM
iajs-643	146	29	:	:	PUNCT
iajs-643	146	30	استلم	استلم	PROPN
iajs-643	146	31	البحث	البحث	PROPN
iajs-643	146	32	الخالصة	الخالصة	PROPN
iajs-643	146	33	يتضمن	يتضمن	PROPN
iajs-643	146	34	البحث	البحث	PROPN
iajs-643	146	35	تقديم	تقديم	PROPN
iajs-643	146	36	فكرة	فكرة	PROPN
iajs-643	146	37	المبادل	المبادل	PROPN
iajs-643	146	38	لمجموعتان	لمجموعتان	PROPN
iajs-643	147	1	جزئيتان	جزئيتان	PROPN
iajs-643	147	2	ضبابيتان	ضبابيتان	PROPN
iajs-643	147	3	ودراسة	ودراسة	PROPN
iajs-643	147	4	مفهوم	مفهوم	PROPN
iajs-643	147	5	المبادل	المبادل	PROPN
iajs-643	147	6	لمجموعتان	لمجموعتان	PROPN
iajs-643	148	1	جزئيتان	جزئيتان	PROPN
iajs-643	148	2	ضبابيتان	ضبابيتان	VERB
iajs-643	148	3	من	من	PRON
iajs-643	148	4	زمرة	زمرة	PROPN
iajs-643	149	1	و	و	PROPN
iajs-643	149	2	دراسة	دراسة	PROPN
iajs-643	149	3	خواصها	خواصها	PROPN
iajs-643	149	4	وتقديم	وتقديم	PROPN
iajs-643	149	5	البراهين	البراهين	PROPN
iajs-643	149	6	المهمة	المهمة	PROPN
iajs-643	149	7	حول	حول	VERB
iajs-643	149	8	المفهوم	المفهوم	PROPN
iajs-643	149	9	.	.	PUNCT
iajs-643	150	1	المجموعات	المجموعات	ADJ
iajs-643	150	2	الضبابية	الضبابية	PROPN
iajs-643	150	3	،	،	PROPN
iajs-643	150	4	الزمر	الزمر	PROPN
iajs-643	150	5	الضبابية	الضبابية	NOUN
iajs-643	150	6	الكلمات	الكلمات	VERB
iajs-643	150	7	المفتاحية	المفتاحية	NOUN
iajs-643	150	8	:	:	PUNCT
iajs-643	150	9	the	the	DET
iajs-643	150	10	commutator	commutator	NOUN
iajs-643	150	11	of	of	ADP
iajs-643	150	12	two	two	NUM
iajs-643	150	13	fuzzy	fuzzy	ADJ
iajs-643	150	14	subsets	subset	NOUN
iajs-643	150	15	applying	apply	VERB
iajs-643	150	16	the	the	DET
iajs-643	150	17	concept	concept	NOUN
iajs-643	150	18	of	of	ADP
iajs-643	150	19	fuzzy	fuzzy	ADJ
iajs-643	150	20	sets	set	NOUN
iajs-643	150	21	of	of	ADP
iajs-643	150	22	zadeh	zadeh	PROPN
iajs-643	150	23	to	to	ADP
iajs-643	150	24	the	the	DET
iajs-643	150	25	group	group	NOUN
iajs-643	150	26	theory	theory	NOUN
iajs-643	150	27	,	,	PUNCT
iajs-643	150	28	rosenfeld	rosenfeld	PROPN
iajs-643	150	29	introduced	introduce	VERB
iajs-643	150	30	the	the	DET
iajs-643	150	31	notion	notion	NOUN
iajs-643	150	32	of	of	ADP
iajs-643	150	33	a	a	DET
iajs-643	150	34	fuzzy	fuzzy	ADJ
iajs-643	150	35	group	group	NOUN
iajs-643	150	36	as	as	ADV
iajs-643	150	37	early	early	ADV
iajs-643	150	38	as	as	ADP
iajs-643	150	39	1971	1971	NUM
iajs-643	150	40	.	.	PUNCT
iajs-643	151	1	the	the	DET
iajs-643	151	2	technique	technique	NOUN
iajs-643	151	3	of	of	ADP
iajs-643	151	4	generating	generate	VERB
iajs-643	151	5	a	a	DET
iajs-643	151	6	fuzzy	fuzzy	ADJ
iajs-643	151	7	group	group	NOUN
iajs-643	151	8	(	(	PUNCT
iajs-643	151	9	the	the	DET
iajs-643	151	10	smallest	small	ADJ
iajs-643	151	11	fuzzy	fuzzy	ADJ
iajs-643	151	12	group	group	NOUN
iajs-643	151	13	)	)	PUNCT
iajs-643	151	14	containing	contain	VERB
iajs-643	151	15	an	an	DET
iajs-643	151	16	arbitrarily	arbitrarily	ADV
iajs-643	151	17	chosen	choose	VERB
iajs-643	151	18	fuzzy	fuzzy	ADJ
iajs-643	151	19	set	set	NOUN
iajs-643	151	20	was	be	AUX
iajs-643	151	21	developed	develop	VERB
iajs-643	151	22	only	only	ADV
iajs-643	151	23	in	in	ADP
iajs-643	151	24	1992	1992	NUM
iajs-643	151	25	by	by	ADP
iajs-643	151	26	malik	malik	PROPN
iajs-643	151	27	,	,	PUNCT
iajs-643	151	28	mordeson	mordeson	NOUN
iajs-643	151	29	and	and	CCONJ
iajs-643	151	30	nair	nair	NOUN
iajs-643	151	31	,	,	PUNCT
iajs-643	151	32	[	[	X
iajs-643	151	33	1	1	NUM
iajs-643	151	34	]	]	PUNCT
iajs-643	151	35	.	.	PUNCT
iajs-643	152	1	in	in	ADP
iajs-643	152	2	this	this	DET
iajs-643	152	3	paper	paper	NOUN
iajs-643	152	4	,	,	PUNCT
iajs-643	152	5	we	we	PRON
iajs-643	152	6	use	use	VERB
iajs-643	152	7	our	our	PRON
iajs-643	152	8	notion	notion	NOUN
iajs-643	152	9	of	of	ADP
iajs-643	152	10	commutator	commutator	NOUN
iajs-643	152	11	of	of	ADP
iajs-643	152	12	two	two	NUM
iajs-643	152	13	fuzzy	fuzzy	ADJ
iajs-643	152	14	subsets	subset	NOUN
iajs-643	152	15	of	of	ADP
iajs-643	152	16	a	a	DET
iajs-643	152	17	group	group	NOUN
iajs-643	152	18	.	.	PUNCT
iajs-643	153	1	for	for	SCONJ
iajs-643	153	2	are	be	AUX
iajs-643	153	3	two	two	NUM
iajs-643	153	4	fuzzy	fuzzy	ADJ
iajs-643	153	5	subsets	subset	NOUN
iajs-643	153	6	of	of	ADP
iajs-643	153	7	g	g	NOUN
iajs-643	153	8	,	,	PUNCT
iajs-643	153	9	we	we	PRON
iajs-643	153	10	define	define	VERB
iajs-643	153	11	the	the	DET
iajs-643	153	12	operation	operation	NOUN
iajs-643	153	13	as	as	SCONJ
iajs-643	153	14	follows	follow	VERB
iajs-643	153	15	:	:	PUNCT
iajs-643	153	16	if	if	SCONJ
iajs-643	153	17	is	be	AUX
iajs-643	153	18	a	a	DET
iajs-643	153	19	fuzzy	fuzzy	ADJ
iajs-643	153	20	subgroup	subgroup	NOUN
iajs-643	153	21	of	of	ADP
iajs-643	153	22	g	g	PROPN
iajs-643	153	23	,	,	PUNCT
iajs-643	153	24	then	then	ADV
iajs-643	153	25	is	be	AUX
iajs-643	153	26	said	say	VERB
iajs-643	153	27	to	to	PART
iajs-643	153	28	be	be	AUX
iajs-643	153	29	abelian	abelian	ADJ
iajs-643	153	30	if	if	SCONJ
iajs-643	153	31	,	,	PUNCT
iajs-643	153	32	,	,	PUNCT
iajs-643	153	33	then	then	ADV
iajs-643	153	34	.	.	PUNCT
iajs-643	154	1	next	next	ADV
iajs-643	154	2	,	,	PUNCT
iajs-643	154	3	we	we	PRON
iajs-643	154	4	will	will	AUX
iajs-643	154	5	give	give	VERB
iajs-643	154	6	and	and	CCONJ
iajs-643	154	7	prove	prove	VERB
iajs-643	154	8	the	the	DET
iajs-643	154	9	following	follow	VERB
iajs-643	154	10	proposition	proposition	NOUN
iajs-643	154	11	:	:	PUNCT
iajs-643	154	12	first	first	ADV
iajs-643	154	13	,	,	PUNCT
iajs-643	154	14	if	if	SCONJ
iajs-643	154	15	[	[	X
iajs-643	154	16	(	(	PUNCT
iajs-643	154	17	,	,	PUNCT
iajs-643	154	18	(	(	PUNCT
iajs-643	154	19	]	]	X
iajs-643	154	20	(	(	PUNCT
iajs-643	154	21	e	e	NOUN
iajs-643	154	22	)	)	PUNCT
iajs-643	154	23	(	(	PUNCT
iajs-643	154	24	[	[	X
iajs-643	154	25	(	(	PUNCT
iajs-643	154	26	,	,	PUNCT
iajs-643	154	27	(	(	PUNCT
iajs-643	154	28	]	]	X
iajs-643	154	29	(	(	PUNCT
iajs-643	154	30	e	e	NOUN
iajs-643	154	31	)	)	PUNCT
iajs-643	154	32	,	,	PUNCT
iajs-643	154	33	we	we	PRON
iajs-643	154	34	prove	prove	VERB
iajs-643	154	35	:	:	PUNCT
iajs-643	154	36	references	reference	NOUN
iajs-643	154	37	لمى	لمى	VERB
iajs-643	154	38	ناجي	ناجي	ADJ
iajs-643	154	39	محمد	محمد	PROPN
iajs-643	154	40	توفيق	توفيق	NOUN
iajs-643	154	41	,	,	PUNCT
iajs-643	154	42	رجاء	رجاء	NOUN
iajs-643	154	43	حامد	حامد	PROPN
iajs-643	154	44	شهاب	شهاب	PROPN
iajs-643	154	45	قسم	قسم	INTJ
iajs-643	154	46	الرياضيات	الرياضيات	NOUN
iajs-643	154	47	–	–	PUNCT
iajs-643	154	48	كلية	كلية	NOUN
iajs-643	154	49	التربية	التربية	NOUN
iajs-643	154	50	أبن	أبن	NOUN
iajs-643	154	51	الهيثم	الهيثم	ADJ
iajs-643	154	52	–	–	PUNCT
iajs-643	154	53	جامعة	جامعة	PROPN
iajs-643	154	54	بغداد	بغداد	PROPN
iajs-643	154	55	.	.	PROPN
iajs-643	155	1	الخلاصة	الخلاصة	PROPN