Single Valued Neutrosophic Hypersoft Expert Set with Application in Decision Making

Abstract

Soft set deals with single set of attributes whereas its generalization i.e. hypersoft set deals with multiple disjoint attribute-valued sets corresponding to distinct attributes. In this paper, we first introduced the concept of single valued neutrosophic hypersoft expert sets (SVNHESs) which combines single valued neutrosophic sets and hypersoft expert sets. Some fundamental properties (i.e. subset, not set and equal set), results (i.e. commutative, associative, distributive and D’ Morgan Laws) and set-theoretic operations (i.e. complement, union intersection AND, and OR ) are discussed. An algorithm is proposed to solve decisionmaking problems and applied to select the best product.

Keywords

• soft set
• soft expert set
• neutrosophic set
• single valued neutrosophic set
• hypersoft set
• single valued neutrosophic hypersoft expert set