Bustince Sola, Humberto

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https://academica-e.unavarra.es/handle/2454/48764

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Bustince Sola

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Humberto

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Estadística, Informática y Matemáticas

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ISC. Institute of Smart Cities

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0000-0002-1279-6195

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88384

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278

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Author: Sánchez, Luciano × Subject: Atanassov intuitionistic fuzzy sets ×

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    PublicationOpen Access
    A unified view of different axiomatic measures defined on L-fuzzy sets
    (IEEE, 2019) Couso, Inés; Bustince Sola, Humberto; Sánchez, Luciano; Estatistika, Informatika eta Matematika; Institute of Smart Cities - ISC; Estadística, Informática y Matemáticas
    The recent literature contains a multitude of extensions of (axiomatic) notions from the context of ordinary fuzzy sets to more general contexts. Using the language of lattices, we provide a general and compact formulation encompassing a large number of those notions and their potential extensions to even more complex frameworks. The new formulation offers a unifying perspective of the different measures and operations between (generalised) fuzzy sets and has a potential impact on the simplification of the redundancy mathematical proofs concerning the formal relations between the different notions, and the properties of certain particular constructive definitions.