M. Murali Krishna Rao - Department of Mathematics, GIT, GITAM University, Visakhapatnam- ۵۳۰ ۰۴۵,A.P., India.

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.

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