Ochoa Lezaun, Gustavo

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Ochoa Lezaun

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Gustavo

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Estadística, Informática y Matemáticas

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InaMat2. Instituto de Investigación en Materiales Avanzados y Matemáticas

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  • PublicationOpen Access
    Measures of embedding for interval-valued fuzzy sets
    (Elsevier, 2023) Bouchet, Agustina; Sesma Sara, Mikel; Ochoa Lezaun, Gustavo; Bustince Sola, Humberto; Montes Rodríguez, Susana; Díaz, Irene; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika
    Interval-valued fuzzy sets are a generalization of classical fuzzy sets where the membership values are intervals. The epistemic interpretation of interval-valued fuzzy sets assumes that there is one real-valued membership degree of an element within the membership interval of possible membership degrees. Considering this epistemic interpretation, we propose a new measure, called IV-embedding, to compare the precision of two interval-valued fuzzy sets. An axiomatic definition for this concept as well as a construction method are provided. The construction method is based on aggregation operators and the concept of interval embedding, which is also introduced and deeply studied.