| Title of paper:
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(∈, ∈∨q)-Intuitionistic fuzzy prime ideals of BCK–algebras
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| Author(s):
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| S. R. Barbhuiya
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| Department of Mathematics, Srikishan Sarda College, Hailakandi, Assam–788 151, India
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| saidurbarbhuiya@gmail.com
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| D. K. Basnet
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| Department of Mathematical Sciences, Tezpur University, Tezpur, Assam–784 028, India
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| dbasnet@tezu.ernet.in
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 22, 2016, Number 1, pages 63-77
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| Download:
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 PDF (189 Kb, File info)
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| Abstract:
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In this paper, we introduced the concept of (∈, ∈∨q)-intuitionistic fuzzification of prime ideals in commutative BCK-algebras. We state and proved some theorems in (∈, ∈∨q)-intuitionistic fuzzy prime ideals in commutative BCK-algebras. Characterization of (∈, ∈∨q)-intuitionistic fuzzy prime ideal and conditions for (∈, ∈∨q)-intuitionistic fuzzy prime ideal to be an (∈, ∈)-intuitionistic fuzzy prime ideal are provided. Relation between (∈, ∈∨q)-intuitionistic fuzzy prime ideal and (∈∨q)-intuitionistic fuzzy level prime ideal were discussed.
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| Keywords:
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BCK-algebra, Prime ideal, Fuzzy prime ideal, (∈, ∈∨q)-Intuitionistic fuzzy prime ideal.
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| AMS Classification:
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06F35, 03E72, 03G25, 11R44.
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