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

Muhammad Ihsan; Muhammad Saeed; Atiqe Ur Rahman; Florentin Smarandache

doi:10.52280/pujm.2021.540105

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

Author(s)

Muhammad Ihsan Department of Mathematics, University of Management and Technology, Lahore, Pakistan

Muhammad Saeed Department of Mathematics, University of Management and Technology, Lahore, Pakistan

Atiqe Ur Rahman Department of Mathematics, University of Management and Technology, Lahore, Pakistan

Florentin Smarandache Department of Mathematics, University of New Mexico,Gallup, NM 87301, USA

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.

Publication Details

Page(s) 55-73

DOI 10.52280/pujm.2021.540105

Published Journal: Punjab University Journal of Mathematics, Volume: 54, Issue: 1, Year: 2022

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Keywords

soft set, Hypersoft set, Bijective hypersoft set, Bijective hypersoft expert set, Hypersoft expert set, Bijective soft set., Soft expert set

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