Affiliations: School of Computer and Information Technology, Liaoning Normal University, Dalian, P.R. China | School of Electrical and Electronic Engineering, The University of Adelaide, SA, Australia | School of Engineering and Science, Victoria University, Melbourne, VIC, Australia | School of Mathematics and Computer Engineering, Xihua University, Chengdu, China | Center of Intelligent Control and Development, Southwest Jiaotong University, Chengdu, P.R. China
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.
