MathematicsEngineering

Prasenjit Chatterjee, S. Chakraborty

2016Decision Science Letters

DOI: 10.5267/j.dsl.2016.5.004

tlooto Summary

It is observed that interval VIKOR method performs unsatisfactorily and when the information in a decision problem is imprecise, fuzzy VIKORN method should always be preferred, but, for any decision problem, originalVIKOR is the best method for solution without unnecessarily complicating the related mathematical computations.

Abstract

Article history: Received February 25, 2016 Received in revised format: March 28, 2016 Accepted May 19, 2016 Available online May 24 2016 The VIKOR (Vlse Kriterijumska Optimizacija Kompromisno Resenje which means multicriteria optimization and compromise solution, in Serbian) method has already become a quite popular multi-criteria decision making tool for its computational simplicity and solution accuracy. This method focuses on selecting and ranking from a set of feasible alternatives, and determines compromise solution for a problem with conflicting criteria to help the decision maker in reaching a final course of action. It determines the compromise ranking list based on the particular measure of closeness to the ideal solution. Depending upon the type of decision problem and necessity of the decision maker, apart from VIKOR method, different variants of it, like comprehensive VIKOR, fuzzy VIKOR, regret theory-based VIKOR, modified VIKOR and interval VIKOR methods have also been subsequently developed. In this paper, the ranking performance of original VIKOR method and its five variants is analyzed based on two demonstrative examples. It is observed that interval VIKOR method performs unsatisfactorily and when the information in a decision problem is imprecise, fuzzy VIKOR method should always be preferred. But, for any decision problem, original VIKOR is the best method for solution without unnecessarily complicating the related mathematical computations. Growing Science Ltd. All rights reserved. 6 © 201

Citation format

CHATTERJEE, Prasenjit; CHAKRABORTY, S. A comparative analysis of VIKOR method and its variants. Decision Science Letters, 2016, 5: 469–486.