• UNION AND INTERSECTION OF FUZZY SETS AND FUZZY SOFT SETS: A GENERALIZED APPROACH

Abstract

In this paper, we generalize the notion of union and intersection of two fuzzy sets over the same universe initiated by H. K. Baruah and modified by Neog and Sut for two fuzzy sets over two universes respectively. Some related results have been proposed with supporting proofs and examples. We further generalize the notion of union and intersection of an arbitrary class of fuzzy sets taken over an arbitrary class of universes respectively. Finally we apply our views in case of fuzzy soft sets and verify certain properties according to our new notion. Our work is an attempt to generalize the notion of union and intersection of fuzzy sets and fuzzy soft sets.