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Bipolar fuzzy soft sets in Γ-semirings

Yildiray Celik
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2017.01|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제13권 제1호|pp. 29-46|DOI 10.30948/afmi.2017.13.1.29

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참고문헌

키워드

Bipolar fuzzy soft setBipolar fuzzy soft Γ-subsemiringBipolar fuzzy soft Γ-ideal

초록

In this paper, we have introduced the concept of bipolar fuzzy soft $\Gamma-$subsemiring and bipolar fuzzy soft $\Gamma-$ideal in a $\Gamma-$semiring. Also we study some of their algebraic properties. It is also proved that the collection of all bipolar fuzzy soft $\Gamma-$ideals over a $\Gamma-$semiring forms a complete distributive lattice with the special union and intersection.

Abstract

In this paper, we have introduced the concept of bipolar fuzzy soft $\Gamma-$subsemiring and bipolar fuzzy soft $\Gamma-$ideal in a $\Gamma-$semiring. Also we study some of their algebraic properties. It is also proved that the collection of all bipolar fuzzy soft $\Gamma-$ideals over a $\Gamma-$semiring forms a complete distributive lattice with the special union and intersection.

참고문헌 (31)

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