Interval Type-2 Fuzzy Sets are Generalization of Interval-Valued Fuzzy Sets: Toward a Wider View on Their Relationship

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2015 United Kingdom, Spain Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Fuzzy Systems, volume 23, pages 1,876-1,882 (issn: 1063-6706, eissn: 1941-0034,

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Authors: Humberto Bustince Sola; Javier Fernández 0002; Hani Hagras; Francisco Herrera; Miguel Pagola; Edurne Barrenechea;

doi: 10.1109/tfuzz.2014.2362149

handle: 2454/32793

Interval Type-2 Fuzzy Sets are Generalization of Interval-Valued Fuzzy Sets: Toward a Wider View on Their Relationship

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Abstract

In this paper, we will present a wider view on the relationship between interval-valued fuzzy sets and interval type- 2 fuzzy sets where we will show that interval-valued fuzzy sets are a particular case of the interval type-2 fuzzy sets. For this reason, both concepts should be treated in a different way. In addition, the view presented in this paper will allow a more general perspective of interval type-2 fuzzy sets which will allow representing concepts which could not be presented by intervalvalued fuzzy sets. This work was supported in part by the Spanish Ministry of Science and Technology under Project TIN2011-28488 and Project TIN2013-40765-P.

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United Kingdom, Spain

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Keywords

330, QA75 Electronic computers. Computer science, Q Science (General), Interval type-2 fuzzy sets, 650, Type-2 fuzzy sets, Interval-valued fuzzy sets

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