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Neural Computing and Applications

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18-06-2020 | Original Article

From MCDA to Fuzzy MCDA: violation of basic axiom and how to fix it

Authors: Boris Yatsalo, Alexander Korobov, Luis Martínez

Published in: Neural Computing and Applications | Issue 5/2021

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Abstract

The use of fuzzy numbers (FNs) for managing uncertainty in multi-criteria decision analysis (MCDA) demands a thorough exploring multi-criteria decision problem under fuzzy environment. Fuzzy MCDA (FMCDA) model implies comparison, choice or ranking alternatives based on assessing corresponding functions with subsequent ranking of FNs. Despite the wide use of FMCDA in recent decades, the effect of the violation of axioms for fuzzy ranking methods on FMCDA models has not been explored yet. This paper aims at demonstrating the violation of the basic MCDA axiom, associated with ranking of dominating and dominated in Pareto alternatives, by fuzzy TOPSIS and fuzzy MAVT models as an example. The suggestion to implement FMCDA models in applications without violation of the basic axiom is elicited based on the use of distinguishable fuzzy numbers.

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Title: From MCDA to Fuzzy MCDA: violation of basic axiom and how to fix it
Authors: Boris Yatsalo
Alexander Korobov
Luis Martínez
Publication date: 18-06-2020
Publisher: Springer London
Published in: Neural Computing and Applications / Issue 5/2021
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-020-05053-9

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