Priority Weighted Neutrosophic Refined Soft Set

Abstract

This chapter devises a new concept of priority weighted neutrosophic refined soft set (PWNRSS) by combining neutrosophic refined sets and soft sets implemented with prioritized universal elements and weightage-imposed parameters. The concepts of PWNRS subset, PWNRS null set, and PWNRS universal set are defined. Based on the definitions of n-norm and n-co-norm, the theoretical operations of PWNRS sets such as union, intersection, and complement are defined. AND-product and OR-product between two priority-weighted neutrosophic refined soft sets are introduced. Furthermore, priority weights neutrosophic refined soft set is expanded to MCDM technique to handle decision-making issues. TOPSIS has been examined more thoroughly for the PWNRSS decision-making issue. This proposed method might be extremely valuable in large-scale decision-making situations. Numerical examples are also provided to demonstrate the methodologies' dependability and applicability.

Foundational Exploration and Key Properties of Refined Intuitionistic Q-fuzzy Set: A Comprehensive Study on Mathematical Framework and Set-Theoretic Operations

“…Tooranloo [35] et al established the ELECTRE approach is applied to multi-attribute decisionmaking within a refined neutrosophic environment. Sweety [36] discusses the Priority weighted neutrosophic refined soft set is proposed as a multi-criteria decision-making approach. Nayagam [37] describes a total ordering on n-valued refined neutrosophic sets is established through dictionary ranking, based on total ordering on n-valued neutrosophic tuplets.…”