On an algebra of linguistic truth-valued intuitionistic lattice-valued logic
Li Zou, Peng Jia Shi, Zheng Pei, Yang Xu · Journal of Intelligent & Fuzzy Systems · 2013
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, R 0 -algebra, BL-algebra, MV-algebra and quasi lattice implication algebra.