Generalization of bi-polar fuzzy soft interior ideals over semirings

In this paper, we introduce the notion of a generalized bi-polar fuzzy set whose membership degree range is [-۰.۵,۰.۵], as a generalization of a fuzzy set and a bi-polar fuzzy set, the notion of generalized bi-polar fuzzy ideal, generalized bi-polar fuzzy interior ideal of semiring, generalized bi-polar fuzzy soft ideal and generalized bi-polar fuzzy soft interior ideal over semiring and study some of their algebraic properties and the relations between them.

کلیدواژه ها:

bi-polar fuzzy set ، Soft set ، Fuzzy soft set ، generalized bi-polar fuzzy soft ideal ، generalized bi-polar fuzzy soft interior ideal