id author title date pages extension mime words sentence flesch summary cache txt cana-3289 Venkata Kalyani U A Study of Bipolar Fuzzy Prime Ideals of a Lattice 2025 9 .pdf application/pdf 3715 242 79 Thus (πœ… ∩ 𝔅)𝑃(ℏ ∧ π‘š) ≀ max{πœ… ∩ 𝔅)𝑃(ℏ), πœ… ∩ 𝔅)𝑃(π‘š)} for all ℏ, π‘š ∈ 𝔏. Now, (πœ… ∩ 𝔅)𝑁(ℏ ∧ π‘š) = max{πœ…π‘(ℏ ∧ π‘š), 𝔅𝑁(ℏ ∧ π‘š)} β‰₯ max{min{πœ…π‘(ℏ), πœ…π‘(π‘š)}, min{𝔅𝑁(ℏ), 𝔅𝑁(π‘š)} = min{max{πœ…π‘(ℏ), 𝔅𝑁(ℏ)}, max{πœ…π‘(π‘š), 𝔅𝑁(π‘š)} = min{(πœ… ∩ 𝔅)𝑁(ℏ), (πœ… ∩ 𝔅)𝑁(π‘š)}. [βˆ’1,0] and defined by 𝔅𝑀 𝑃 (π‘Ÿ) = 𝔅(πœ”,πœ—) 𝑃 (π‘Ÿ) = πœ”π”…π‘ƒ(π‘Ÿ) + πœ— for all π‘Ÿ ∈ ϝ and 𝔅𝑀 𝑁 (π‘Ÿ) = 𝔅(𝛼,πœƒ) 𝑁 (π‘Ÿ) = 𝛼𝔅𝑁(π‘Ÿ) + πœƒ.” Definition:2.10[16]: β€œSuppose 𝔅 = (𝔅𝑃, 𝔅𝑁) is a BFS in 𝔏 where 𝔅𝑃: ϝ β†’ [0,1] and 𝔅𝑁: ϝ β†’ [βˆ’1,0]Then 𝔅 is known to be a BFL(Bipolar fuzzy sublattice) of 𝔏 when the following conditions are fulfilled for all ℏ, π‘š ∈ 𝔏, (𝑖)𝔅𝑃(β„β‹π‘š) β‰₯ min{𝔅𝑃(ℏ), 𝔅𝑃(π‘š)}, (ii) 𝔅𝑃(ℏ ∧ π‘š) β‰₯ min{𝔅𝑃(ℏ), 𝔅𝑃(π‘š)}. cache/cana-3289.pdf txt/cana-3289.txt