Cuts of intuitionistic fuzzy sets respecting fuzzy connectives

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2013 France English Publisher:Elsevier BVJournal:Information Sciences, volume 232, pages 267-275 (issn: 0020-0255,

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Authors: Davide Martinetti; Vladimír Janis; Susana Montes;

doi: 10.1016/j.ins.2012.12.026

Cuts of intuitionistic fuzzy sets respecting fuzzy connectives

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Abstract

Intuitionistic fuzzy sets (IF-sets) create a suitable tool to describe cases where it is useful to account not only the grade of membership to a certain collection, but also the grade of its non-membership. We consider the @a-cuts of an IF-set A as crisp sets consisting of those elements x for which the truth value (in fuzzy logic) of the statement ''x belongs to A and it is not true that x does not belong to A'' is at least @a. We describe properties of such cuts depending on the chosen type of conjunction and negation.

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France

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Keywords

[MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], α-cuts, Conjunction, 650, Negation, Intuitionistic fuzzy set, [MATH.MATH-ST] Mathematics [math]/Statistics [math.ST], 004

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