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13.334 Articles in journals published by the UPC
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  • 1994, Vol. I, Núm. 1
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Fuzzy numbers, definitions and properties

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hdl:2099/1494

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Delgado Calvo-Flores, Miguel
Verdegay, José Luis
Vila Miranda, María Amparo
Document typeArticle
Defense date1994
PublisherUniversitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
Abstract
Two different definitions of a Fuzzy number may be found in the literature. Both fulfill Goguen's Fuzzification Principle but are different in nature because of their different starting points. The first one was introduced by Zadeh and has well suited arithmetic and algebraic properties. The second one, introduced by Gantner, Steinlage and Warren, is a good and formal representation of the concept from a topological point of view. The objective of this paper is to analyze these definitions and discuss their main features.
URIhttp://hdl.handle.net/2099/1494
ISSN1134-5632
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  • Mathware & soft computing - 1994, Vol. I, Núm. 1 [7]
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