About t-norms on type-2 fuzzy sets.

Hernández Varela, Pablo Ramón and Cubillo Villanueva, Susana and Torres Blanc, Carmen (2013). About t-norms on type-2 fuzzy sets.. In: "8th Conferencia de la Sociedad Europea para Lógica Borrosa y Tecnología (EUSFLAT 2013)", 11/09/2013 - 13/09/2013, Milán, Italia. pp. 171-178. https://doi.org/10.2991/eusflat.2013.25.

Description

Title: About t-norms on type-2 fuzzy sets.
Author/s:
  • Hernández Varela, Pablo Ramón
  • Cubillo Villanueva, Susana
  • Torres Blanc, Carmen
Item Type: Presentation at Congress or Conference (Article)
Event Title: 8th Conferencia de la Sociedad Europea para Lógica Borrosa y Tecnología (EUSFLAT 2013)
Event Dates: 11/09/2013 - 13/09/2013
Event Location: Milán, Italia
Title of Book: 8th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2013)
Date: 2013
Subjects:
Freetext Keywords: Functions of [0,1] in [0,1], normal and convex functions, t-norm and t-conorm, funciones de [0.1] en [0,1], funciones normales y convexas.
Faculty: Facultad de Informática (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Walker et al. defined two families of binary operations on M (set of functions of [0,1] in [0,1]), and they determined that, under certain conditions, those operations are t-norms (triangular norm) or t-conorms on L (all the normal and convex functions of M). We define binary operations on M, more general than those given by Walker et al., and we study many properties of these general operations that allow us to deduce new t-norms and t-conorms on both L, and M.

More information

Item ID: 21044
DC Identifier: http://oa.upm.es/21044/
OAI Identifier: oai:oa.upm.es:21044
DOI: 10.2991/eusflat.2013.25
Official URL: http://www.ir.disco.unimib.it/eusflat2013/
Deposited by: Memoria Investigacion
Deposited on: 07 Nov 2013 18:24
Last Modified: 21 Apr 2016 11:09
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