Development of Hybrids of Hypersoft Set with Complex Fuzzy Set, Complex Intuitionistic Fuzzy set and Complex Neutrosophic Set

Development of Hybrids of Hypersoft Set with Complex Fuzzy Set, Complex Intuitionistic Fuzzy set and Complex Neutrosophic Set

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The complex fuzzy soft set and its generalized hybrids are such effective structures which not only minimize the impediments of all complex fuzzy-like structures for dealing uncertainties but also fulfill here all the parametric requirements of soft sets.This feature makes it a completely new mathematical tool for solving problems dealing with uncertainties.Smarandache conceptualized hypersoft set as a generalization of soft set as it transforms the single attribute function into a multi-attribute function.This generalization demands an extension of complex fuzzy soft-like structures to hypersoft structure for more precise results.

In this study, hybrids of hypersoft set with complex fuzzy set and its generalized structures i.e.complex intuitionistic fuzzy set and complex neutrosophic set, are developed along with illustrative examples to address the demand of literature.Moreover, some of their fundamentals i.

e.subset, equal sets, null set, absolute set opi the color that keeps on giving etc.and theoretic operations i.e.

compliment, union, intersection etc.are discussed.