4.3 Article

A note on measuring fuzziness for intuitionistic and interval-valued fuzzy sets

Journal

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Volume 44, Issue 7-8, Pages 889-901

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/03081079.2015.1029472

Keywords

fuzziness; intuitionistic fuzzy sets; interval-valued set; fuzzy entropy

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We first review the concept of fuzziness provided by DeLuca and Termini, and the view of fuzziness as related to the lack of distinction between a set and its negation. We then suggest a measure of fuzziness for intuitionistic fuzzy sets. We show that this measure satisfies the required conditions for an intuitionistic measure of fuzziness. We then take advantage of the connection between intuitionistic and interval-valued membership grades to transfer the intuitionistic measure of fuzziness to one suitable for interval-valued fizzy sets.

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