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.