From MCDA to Fuzzy MCDA: violation of basic axiom and how to fix it
| Autor: | Luis Martínez, Boris Yatsalo, Alexander Korobov |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Mathematical optimization Computer science Pareto principle 02 engineering and technology Decision problem Multiple-criteria decision analysis Fuzzy logic 020901 industrial engineering & automation Ranking Artificial Intelligence 0202 electrical engineering electronic engineering information engineering Fuzzy number 020201 artificial intelligence & image processing Software Axiom Decision analysis |
| Zdroj: | Neural Computing and Applications. 33:1711-1732 |
| ISSN: | 1433-3058 0941-0643 |
| DOI: | 10.1007/s00521-020-05053-9 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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