Obtaining contradiction measure on intuitionistic fuzzy sets from fuzzy connectives

Castiñeira Holgado, Elena, Torres Blanc, Carmen ORCID: https://orcid.org/0000-0002-0340-9931 and Cubillo Villanueva, Susana ORCID: https://orcid.org/0000-0002-6473-6039 (2012). Obtaining contradiction measure on intuitionistic fuzzy sets from fuzzy connectives. "International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems", v. 20 (n. 1); pp. 41-58. ISSN 0218-4885. https://doi.org/10.1142/S0218488512500031.

Descripción

Título: Obtaining contradiction measure on intuitionistic fuzzy sets from fuzzy connectives
Autor/es:
Tipo de Documento: Artículo
Título de Revista/Publicación: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Fecha: Febrero 2012
ISSN: 0218-4885
Volumen: 20
Número: 1
Materias:
ODS:
Palabras Clave Informales: Fuzzy negations, t-norms and t-conorms, intuitionistic fuzzy negations,weakly self-contradictory sets, contradictory intuitionistic fuzzy sets, contradiction measures, semicontinuous measures, continuous measures, distorsiones negativas, juegos débilmente contradictorios, medición de contradicciones, medidas semicontinuas.
Escuela: Facultad de Informática (UPM) [antigua denominación]
Departamento: Matemática Aplicada
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

In a previous paper, we proposed an axiomatic model for measuring self-contradiction in the framework of Atanassov fuzzy sets. This way, contradiction measures that are semicontinuous and completely semicontinuous, from both below and above, were defined. Although some examples were given, the problem of finding families of functions satisfying the different axioms remained open. The purpose of this paper is to construct some families of contradiction measures firstly using continuous t-norms and t-conorms, and secondly by means of strong negations. In both cases, we study the properties that they satisfy. These families are then classified according the different kinds of measures presented in the above paper.

Más información

ID de Registro: 15774
Identificador DC: https://oa.upm.es/15774/
Identificador OAI: oai:oa.upm.es:15774
URL Portal Científico: https://portalcientifico.upm.es/es/ipublic/item/5486936
Identificador DOI: 10.1142/S0218488512500031
URL Oficial: http://www.worldscientific.com/toc/ijufks/20/01
Depositado por: Memoria Investigacion
Depositado el: 14 Jun 2013 14:48
Ultima Modificación: 12 Nov 2025 00:00