A New Approach to the Rank Reversal Phenomenon in MCDM with the SIMUS Method

Nolberto Munier

44 citations0/0 files storedMultiple Criteria Decision Making

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Multi-Criteria Decision Making Game Theory and Voting Systems Optimization and Mathematical Programming

Abstract

When a ranking is obtained for a set of projects, the introduction of a new project, worse than the others, may sometimes perturb the ranking.This is called rank reversal, and happens in most Multi Criteria Decision Making models.The purpose of this paper is to demonstrate that a new method, based on Linear Programming, is immune to rank reversal, which is proved by analyzing the algorithm used to solve the problem.The paper also examines a situation that produces rank reversal when two or more projects have close or identical values.

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1983On a short-coming of Saaty's method of analytic hierarchies 2006Ranking irregularities when evaluating alternatives by using some ELECTRE methods 2011On rank reversal and TOPSIS method 1987RANK GENERATION, PRESERVATION, AND REVERSAL IN THE ANALYTIC HIERARCHY DECISION PROCESS 2012A Comprehensive Literature Review of the Rank Reversal Phenomenon in the Analytic Hierarchy Process

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2021A Novel Fuzzy SIMUS Multicriteria Decision-Making Method. An Application in Railway Passenger Transport Planning

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