The pseudo-linear semantics of interval-valued fuzzy logics
type: Item
instance of: scholarly article
title: The pseudo-linear semantics of interval-valued fuzzy logics
zbMATH Open document ID: 1162.03014
published in: Information Sciences
publication date: 2009-03-24T00:00:00Z
review text: This paper can be considered as a continuation of a previous work of the same authors [``Triangle algebras: a formal logic approach to interval-valued residuated lattices'', Fuzzy Sets Syst. 159, No.~9, 1042--1060 (2008)]. The authors introduce the notion of a filter in a triangle algebra to prove that a pseudo-prelinear triangle algebra is a subdirect product of pseudo-linear triangle algebras. Consequently, the authors show that several examples of algebraic properties in pseudo-linear triangle algebras hold also in pseudo-prelinear triangle algebras.
reviewed by: Salvatore Sessa
Mathematics Subject Classification ID: 03B52
Mathematics Subject Classification ID: 06F05
zbMATH DE Number: 5531320
zbMATH Keywords: interval-valued fuzzy set theory
zbMATH Keywords: residuated lattices
zbMATH Keywords: formal logic
author: B. Van Gasse
author: C. Cornelis
author: G. Deschrijver
author: E. E. Kerre
MaRDI profile type: Publication
full work available at URL: j.ins.2008.11.005
OpenAlex ID: W2033712493
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DOI: 10.1016/J.INS.2008.11.005
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description: scientific article; zbMATH DE number 5531320