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Issue:Inclusion measure for intuitionistic fuzzy sets and embedding of intervals

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Title of paper: Inclusion measure for intuitionistic fuzzy sets and embedding of intervals
Author(s):
Michaela Bruteničová
Department of Mathematics, University of Matej Bel, Tajovského 40, Banská Bystrica, Slovakia
michaela.brutenicova@umb.sk
Vladimír Janiš
Department of Mathematics, University of Matej Bel, Tajovského 40, Banská Bystrica, Slovakia
vladimir.janis@umb.sk
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 4, pages 323–332
DOI: https://doi.org/10.7546/nifs.2024.30.4.323-332
Download:  PDF (292  Kb, File info)
Abstract: Comparison of measuring the degree of inclusion for two intuitionistic fuzzy sets (IF-sets) and measuring the degree of embedding of two intervals is considered. Embedding is understood as the classical inclusion of intervals. Inclusion of IF-sets is based on a specific order. In case that the nonmebership function does not exceed the membership function in an IF set, and we replace formally the IF-set by an interval-valued fuzzy set, then the inclusion of IF-sets corresponds to an embedding of interval-valued sets. The embedding measure for interval-valued fuzzy sets was defined previously and we compare the concept of embedding with the inclusion of IF-sets.
Keywords: Inclusion measure, Embedding measure, Intuitionistic fuzzy sets.
AMS Classification: 03E72.
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