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

Zou, Li and Shi, Peng and 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)

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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.

Item Type: Article
Uncontrolled Keywords: ResPubID26722, lattice implication algebra, linguistic truth-valued intuitionistic fuzzy lattice, logic algebra
Subjects: FOR Classification > 0802 Computation Theory and Mathematics
Faculty/School/Research Centre/Department > College of Science and Engineering
Depositing User: Ms Phung.T Tran
Date Deposited: 22 Jul 2014 04:47
Last Modified: 06 Aug 2014 05:40
URI: http://vuir.vu.edu.au/id/eprint/23728
DOI: 10.3233/IFS-2012-0565
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