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The Origin of Fuzzy Extensions

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Bustince, H. and Barrenechea, Edurne and Fernandez, J. and Pagola, Miguel and Montero, Javier (2015) The Origin of Fuzzy Extensions. In Springer Handbook of Computational Intelligence. Springer, Berlin Heidelberg, pp. 89-112. ISBN 978-3-662-43504-5

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Official URL: http://link.springer.com/chapter/10.1007%2F978-3-662-43505-2_6


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Abstract

Many different kinds of sets have been defined within the framework of fuzzy sets . This paper focusses on those fuzzy set extensions that address the difficulties that experts find in order to build the membership values. In particular, we analyze type-2 fuzzy sets , interval-valued fuzzy sets , Atanassov’s intuitionistic fuzzy sets , or bipolar sets of type-2 and Atanassov’s interval-valued fuzzy sets. After stating a general approach to these extensions, we remark some structural problems in the extension problem and stress some applications for which the results obtained with extens


Item Type:Book Section
Subjects:Sciences > Mathematics > Logic, Symbolic and mathematical
ID Code:30688
Deposited On:05 Jun 2015 11:32
Last Modified:22 Apr 2016 13:18

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