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2008•Applied Mathematics Research eXpressRequires access

Comparative Analysis of a Novel M-TOPSIS Method and TOPSIS

L. Ren, Ying Zhang, Zhanhua Wang, Zhiyuan Sun

Open publisher page 172 citations

Abstract

In this study, we introduce a novel modified synthetic evaluation method (M-TOPSIS) based on the concept of original TOPSIS and calculate the distance between the alternatives and ‘optimized ideal reference point’ in the D+D−-plane. It could avoid rank reversals and solve the problem on evaluation failure that often occurs in original TOPSIS, so we believe that the mechanism of M-TOPSIS is more reasonable. Furthermore, the M-TOPSIS method is simple in both concept and calculation procedures.

About this research paper

What this paper is about

In this study, we introduce a novel modified synthetic evaluation method (M-TOPSIS) based on the concept of original TOPSIS and calculate the distance between the alternatives and ‘optimized ideal reference point’ in the D+D−-plane. It could avoid rank reversals and solve the problem on evaluation failure that often occurs in original TOPSIS, so we believe that the mechanism of M-TOPSIS is more reasonable. Furthermore, the M-TOPSIS method is simple in both concept and calculation procedures.

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OpenAlex reports 172 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this study, we introduce a novel modified synthetic evaluation method (M-TOPSIS) based on the concept of original TOPSIS and calculate the distance between the alternatives and ‘optimized ideal reference point’ in the D+D−-plane. It could avoid rank reversals and solve the problem on evaluation failure that often occurs in original TOPSIS, so we believe that the mechanism of M-TOPSIS is more reasonable. Furthermore, the M-TOPSIS method is simple in both concept and calculation procedures.

Key concepts: TOPSIS, Ideal solution, Mathematical optimization, Point (geometry), Rank (graph theory), Simple (philosophy), Computer science, Mathematics

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