id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5956	Shi, Dali; Abu_Shugair, M.N.; Abbas, S.E.; Ibedou, Ismail	Picture Fuzzy Modal Ideal Multifunctions	2025	30	.pdf	application/pdf	14879	819	88	Axiom 7*: K ↠ Q = ♯ implies that K ⊆ Q, and K ⊆ Q implies that K ↠ Q is a PFTaut set. Math, 18 (2) (2025), 5956 24 of 30 τ(K) =  ⟨1, 0, 0⟩ if K ∈ {♭, ♯} , ⟨0.6, 0.2, 0.2⟩ if K = K1, ⟨0, 1, 0⟩ otherwise, , σ( Q ) =  ⟨1, 0, 0⟩ if Q ∈ {♭, ♯} , ⟨0.5, 0.3, 0.1⟩ if Q = Q 1, ⟨0, 1, 0⟩ otherwise, ℓP ( Q ) =  ⟨1, 0, 0⟩ if Q = ♭, ⟨0.7, 0.15, 0.15⟩ if {⟨ζ, 0.4, 0.5, 0.1⟩ |ζ ∈ Υ} ⊆ Q ⊆ ♯, ⟨0, 1, 0⟩ otherwise.	cache/ejpam-5956.pdf	txt/ejpam-5956.txt