A New Approach For the Ranking of Fuzzy Sets With Different Heights

Ranking of fuzzy sets plays an important role in decision making, optimization, forecasting, etc. Fuzzy sets must beranked before an action is taken by a decision maker. Fuzzy sets with different heights are a generalization of theordinary fuzzy sets. In this paper, with the help of several countere...

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Detalles Bibliográficos
Autor: Singh, Pushpinder
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:México
Institución:UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO
Repositorio:Journal of Applied Research and Technology
Idioma:inglés
OAI Identifier:oai:ojs2.localhost:article/354
Acceso en línea:https://jart.icat.unam.mx/index.php/jart/article/view/354
Access Level:acceso abierto
Palabra clave:sets
fuzzy sets with different heights
ranking function.
Descripción
Sumario:Ranking of fuzzy sets plays an important role in decision making, optimization, forecasting, etc. Fuzzy sets must beranked before an action is taken by a decision maker. Fuzzy sets with different heights are a generalization of theordinary fuzzy sets. In this paper, with the help of several counterexamples, it is proved that the ranking methodproposed by Lee and Chen (Expert Systems with Applications 34, 2008, 2763-2771) is incorrect. The main aim of thispaper is to propose a new approach for the ranking of fuzzy sets with different heights. The main advantage of theproposed approach is that with it the correct ordering of fuzzy sets with different heights, and also the results of theproposed ranking method and the existing ranking method, can be compared.