Subsethood measures based on cardinality of type-2 fuzzy sets

In this work we present a novel axiomatic framework for subsethood measures in type-2 fuzzy sets. It differs from previous approaches in two key ways. First, the degree of membership is not simply a fuzzy set as considered in other papers, but rather a label of the variable Truth, more in line with...

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Bibliographic Details
Published inFuzzy sets and systems Vol. 499; p. 109174
Main Authors Torres-Blanc, Carmen, Martinez-Mateo, Jesus, Cubillo, Susana, Magdalena, Luis, Talavera, Francisco Javier, Elorza, Jorge
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.01.2025
Subjects
Cardinality
Interval-valued fuzzy set
Subsethood
Type-2 fuzzy set
Interval-valued fuzzy set
Cardinality
Subsethood
Type-2 fuzzy set
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Summary:In this work we present a novel axiomatic framework for subsethood measures in type-2 fuzzy sets. It differs from previous approaches in two key ways. First, the degree of membership is not simply a fuzzy set as considered in other papers, but rather a label of the variable Truth, more in line with Zadeh's original idea. Secondly, the concept of subsethood is approached in terms of its relationship with cardinality. Additionally, illustrative examples of such measures are provided.
ISSN:0165-0114
DOI:10.1016/j.fss.2024.109174