Multi-Attribute Decision Support Model Based on Bijective Hypersoft Expert Set

Abstract

Soft set tackles a single set of attributes whereas its extension hypersoft set is projected for dealing attribute-valued disjoint sets corresponding to distinct attributes with entitlement of multi-argument approximate function. In order to furnish soft set-like models with multi-decisive opinions of multi-experts, a new model i.e. soft expert set has been developed but this is inadequate for handling the scenario where partitioning of attributes into their respective attribute-valued sets is necessary. Hence hypersoft expert set has made its place to be developed. This article intends to develop a new type of hypersoft set called bijective hypersoft expert set which is more flexible and effective. After characterization of its essential properties and set-theoretic operations like union, relaxed and restricted AND, a decision-support system is designed which is characterized by new operations such as decision system, reduced decision system, etc. with illustrated examples. The proposed decision-support system is applied in multi-attribute decision-making process to manage a real-life application.