Publication: A unified view of different axiomatic measures defined on L-fuzzy sets
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AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/TIN2017-84804-R/ES/
Abstract
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.
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