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Fuzzy Optimization and Decision Making

Erschienen in:

23.04.2015

Entropy and similarity measure for Atannasov’s interval-valued intuitionistic fuzzy sets and their application

verfasst von: Fanyong Meng, Xiaohong Chen

Erschienen in: Fuzzy Optimization and Decision Making | Ausgabe 1/2016

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Abstract

In this study, we first point out the problem of the similarity measure in the literature and then define a new entropy and similarity measure. In order to explore the inter-dependent or interactive characteristics between elements in a set, several Shapley-weighted similarity measures of Atannasov’s interval-valued intuitionistic fuzzy sets are defined by using the well-known Shapley function, which can be seen as an extension of the associated weighted similarity measures. Moreover, if the information about the weights is completely unknown or partially known, models for the optimal fuzzy measures are established, by which the optimal weight vector can be obtained. Finally, an approach to pattern recognition and multi-criteria decision making is developed, and the associated numerical examples are provided to verify the developed methods and demonstrate their practicality and feasibility.

Vorheriger Artikel The Karush–Kuhn–Tucker optimality conditions for fuzzy optimization problems

Nächster Artikel A unit commitment-based fuzzy bilevel electricity trading model under load uncertainty

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Titel: Entropy and similarity measure for Atannasov’s interval-valued intuitionistic fuzzy sets and their application
verfasst von: Fanyong Meng
Xiaohong Chen
Publikationsdatum: 23.04.2015
Verlag: Springer US
Erschienen in: Fuzzy Optimization and Decision Making / Ausgabe 1/2016
Print ISSN: 1568-4539
Elektronische ISSN: 1573-2908
DOI: https://doi.org/10.1007/s10700-015-9215-7

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