A unified view of different axiomatic measures defined on L-fuzzy sets
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 t...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2019 |
| País: | España |
| Recursos: | Universidad Pública de Navarra |
| Repositorio: | Academica-e. Repositorio Institucional de la Universidad Pública de Navarra |
| OAI Identifier: | oai:academica-e.unavarra.es:2454/36052 |
| Acesso em linha: | https://hdl.handle.net/2454/36052 |
| Access Level: | acceso abierto |
| Palavra-chave: | Interval-valued fuzzy sets Atanassov intuitionistic fuzzy sets L-fuzzy sets |
| Resumo: | 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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