New Multiple Attribute Decision Making Method Based on DEMATEL and TOPSIS for Multi-Valued Interval Neutrosophic Sets

Wei Yang,Yongfeng Pang

doi:10.3390/sym10040115

Abstract

Interval neutrosophic fuzzy decision making is an important part of decision making under uncertainty, which is based on preference order. In this study, a new multi-valued interval neutrosophic fuzzy multiple attribute decision making method has been developed by integrating the DEMATEL (decision making trial and evaluation laboratory) method and the TOPSIS (the technique for order preference by similarity to an ideal solution) method. Evaluation values are given in the form of multi-valued interval neutrosophic fuzzy values. By using DEMATEL, dependencies among attributes can be modeled, and attribute weights are determined. The normalized Euclidean distance and the normalized Hamming distance between multi-valued interval neutrosophic fuzzy values are defined. Alternatives are ranked by using the TOPSIS method based on the distance measures. The truck selection problem in the logistics industry is presented to illustrate the feasibility and practical advantages of the proposed method. Some comparisons of the new method with other methods are also made.

Highlights

Decision making problems have become more complicated because of the increasing amount of decision information and alternatives, the inherent uncertainty and complexity of decision problems, the fuzzy nature of human thinking, etc
In order to define distance more clearly, multi-valued interval neutrosophic fuzzy element (MVINFE) should be extended until all truth-membership functions, indeterminacy-membership functions and real falsity-membership functions have the same number of interval values according to the risk attitude of decision makers
A new multiple attribute decision making method is developed based on the DEMATEL and TOPSIS methods for multi-valued interval neutrosophic fuzzy information

Summary

Introduction

Decision making problems have become more complicated because of the increasing amount of decision information and alternatives, the inherent uncertainty and complexity of decision problems, the fuzzy nature of human thinking, etc. Though several interval neutrosophic decision methods have been developed, most of them are based on single-valued interval neutrosophic values, and the problems with multi-valued interval neutrosophic values have rarely been studied. Though several methods based on DEMATEL have been developed, the study of DEMATEL in the multi-valued interval neutrosophic environment has yet to be found. The DEMATEL method has been used to determine attribute weights in the multi-valued interval neutrosophic environment. We integrate the DEMATEL method with the TOPSIS method for multi-valued interval neutrosophic information. The evaluation values are in the form of multi-valued interval neutrosophic values, which can more accurately model the uncertainty, hesitation and fuzziness that exist in the decision making process.

Preliminaries

Numerical Example

Method

Conclusions