Logic Connectives for Soft Sets and Fuzzy Soft Sets

摘要

Collections of soft sets and fuzzy soft sets are complete modular lattices with respect to certain binary operations. Therefore, logic connectives such as Triangular norms, Triangular conorms, and implications may be studied for them. A major hurdle in this study is that soft sets and fuzzy soft sets are not sets and fuzzy sets, respectively. Actually, they are parameterized collections of subsets and fuzzy subsets of a set. While studying logic connective for soft sets and fuzzy soft sets, one has to consider not only the subsets or fuzzy subsets but the parameters involved as well. In this paper, techniques have been devised to study logic connectives for soft sets and fuzzy soft sets.