Multi-criteria decision making method based on similarity measures under single valued neutrosophic refined and interval neutrosophic refined environments

TL;DR

This paper introduces new similarity measures for neutrosophic refined sets and develops multi-criteria decision making methods based on these measures, with applications and consistency analysis.

Contribution

It presents novel similarity measures and decision making methods for neutrosophic refined environments, expanding the tools for handling uncertainty in decision processes.

Findings

Proposed three similarity measures based on Jaccard, Dice, and Cosine for neutrosophic sets.

Developed two multi-criteria decision making methods for neutrosophic environments.

Provided applications and a consistency analysis method for the proposed measures.

Abstract

In this paper, we propose three similarity measure methods for single valued neutrosophic refined sets and interval neutrosophic refined sets based on Jaccard, Dice and Cosine similarity measures of single valued neutrosophic sets and interval neutrosophic sets. Furthermore, we suggest two multi-criteria decision making method under single valued neutrosophic refined environment and interval neutrosophic refined environment, and give applications of proposed multi-criteria decision making methods. Finally we suggested a consistency analysis method for similarity measures between interval neutrosophic refined sets and give an application to demonstrate process of the method.