On an algebra of linguistic truth-valued intuitionistic lattice-valued logic

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Zou, Li, Shi, Peng, Pei, Zheng and Xu, Yang (2013) On an algebra of linguistic truth-valued intuitionistic lattice-valued logic. Journal of Intelligent and Fuzzy Systems, 24 (3). pp. 447-456. ISSN 1064-1246 (print) 1875-8967 (online)

Abstract

In this paper, we propose a kind of linguistic truth-valued intuitionistic fuzzy lattice based on the point view of intuitionistic fuzzy set and linguistic truth-valued lattice implication algebra. As an algebra fundament of linguistic truth-valued intuitionistic fuzzy logic, some properties of linguistic truth-valued intuitionistic fuzzy algebra are discussed. The results show that linguistic truth-valued intuitionistic fuzzy lattice is a residual lattice, but it is not MTL-algebra, R0-algebra, BL-algebra, MV-algebra and quasi lattice implication algebra.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/23728
DOI	10.3233/IFS-2012-0565
Official URL	http://iospress.metapress.com/content/f2154613480k...
Subjects	Historical > FOR Classification > 0102 Applied Mathematics Historical > FOR Classification > 0906 Electrical and Electronic Engineering Current > Division/Research > College of Science and Engineering
Keywords	ResPubID26722, lattice implication algebra, linguistic truth-valued intuitionistic fuzzy lattice, logic algebra
Citations in Scopus	18 - View on Scopus
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