Interval Valued Trapezoidal Neutrosophic Set for Prioritization of Non-functional Requirements

TL;DR

This paper introduces a new interval-valued trapezoidal neutrosophic set and operator for improved prioritization of non-functional requirements in multi-criteria decision making.

Contribution

It proposes a novel combination of IVIFN and TrNS to form IVTrNS, along with new operational laws, score functions, and an aggregation operator for MADM applications.

Findings

Effective prioritization of NFRs demonstrated through numerical example

New operational laws improve handling of neutrosophic information

Method enhances decision-making accuracy in MADM environments

Abstract

This paper discusses the trapezoidal fuzzy number(TrFN); Interval-valued intuitionistic fuzzy number(IVIFN); neutrosophic set and its operational laws; and, trapezoidal neutrosophic set(TrNS) and its operational laws. Based on the combination of IVIFN and TrNS, an Interval Valued Trapezoidal Neutrosophic Set (IVTrNS) is proposed followed by its operational laws. The paper also presents the score and accuracy functions for the proposed Interval Valued Trapezoidal Neutrosophic Number (IVTrNN). Then, an interval valued trapezoidal neutrosophic weighted arithmetic averaging (IVTrNWAA) operator is introduced to combine the trapezoidal information which is neutrosophic and in the unit interval of real numbers. Finally, a method is developed to handle the problems in the multi attribute decision making(MADM) environment using IVTrNWAA operator followed by a numerical example of NFRs prioritization to illustrate the relevance of the developed method.