Multicriteria decision making approach by VIKOR under interval neutrosophic set environment

Abstract

The paper presents the extension of VIKOR method for the solution of the multicriteria decision making problems, namely VIKOR - IVNS. The original VIKOR method was proposed for the solution of the decision problems with the conflicting and non - common measurable criteria. In this paper, a new extension of the crisp VIKOR method has been proposed. This extension is developed in the context of interval - valued neutrosophic sets. For the realization of VIKOR method under interval - valued neutrosophic set environment the operations governed by the score functions of the interval - valued neutrosophic numbers are implemented. For the comparison obtained results an approach based on the degree of possibility is applied. The solution of the practical example of the selection of location for a logistic terminal has been presented to illustrate main aspects of the proposed extension VIKOR - IVNS.