S. R. Barbhuiya, (∈, ∈ ∨q)-Interval-Valued Fuzzy Prime Ideals of BCK -Algebras, Volume 2017, Number 5, Pages 31-43, 2017.

S. R. Barbhuiya, (∈, ∈ ∨q)-Interval-Valued Fuzzy Prime Ideals of BCK -Algebras, Volume 2017, Number 5, Pages 31-43, 2017.

Abstract: The notion of $(\in,\in \vee q)$-interval-valued fuzzy prime ideals in commutative BCK-algebras is introduced. Some characterization theorems in (\in,\in \vee q)-interval-valued fuzzy prime ideals in commutative BCK-algebras are derived. Also we study relation between (\in,\in \vee q)-interval-valued fuzzy prime ideal and (\in \vee q)-interval-valued fuzzy level prime ideals. Characterization of interval-valued fuzzy set to be an (\in,\in \vee q)-interval-valued fuzzy prime ideals are provided.

Keywords: BCK-algebra, Prime ideal, Fuzzy prime ideal,(\in,\in \vee q)-fuzzy prime ideal, (\in,\in \vee q)-interval-valued fuzzy prime ideal.

 

 

 

How to cite this article: 

S. R. Barbhuiya, (\in,\in \vee q)-Interval-Valued Fuzzy Prime Ideals of BCK-Algebras, International Journal of Advances in Mathematics, Volume 2017, Number 5, Pages 31-43, 2017.

 

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