Decision making application based on parameterization of fuzzy hypersoft set with fuzzy setting

Fuzzy soft set is considered as an apt parameterization tool to deal with vagueness and uncertainties. There are many situations when attributes need to be further classified into attribute-valued disjoint sets. Such situations are not tackled by the existing fuzzy soft-like structures. Hypersoft set, an extension of soft set, employs multi-argument approximate function which addresses the inadequacy of existing structures for attribute-valued disjoint sets. In this study, theory of fuzzy parameterized fuzzy hypersoft set is characterized and some of its essential properties are discussed. In order to cope with the decision making problems, an algorithm is proposed which employs the fuzzy decision set of fuzzy parameterized fuzzy hypersoft set for dealing with decision making problems under uncertain scenarios. The proposed algorithm is validated with the help of a numerical example