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

被引：18
作者：
Zou, Li [1 ]
Shi, Peng [2 ,3 ]
Pei, Zheng [4 ]
Xu, Yang [5 ]
机构：
[1] Liaoning Normal Univ, Sch Comp & Informat Technol, Dalian, Peoples R China
[2] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia
[3] Victoria Univ, Sch Engn & Sci, Melbourne, Vic 8001, Australia
[4] Xihua Univ, Sch Math & Comp Engn, Chengdu, Peoples R China
[5] Southwest Jiaotong Univ, Ctr Intelligent Control & Dev, Chengdu, Peoples R China
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2013年 / 24卷 / 03期
基金：
中国博士后科学基金;
关键词：
Lattice implication algebra; linguistic truth-valued intuitionistic fuzzy lattice; logic algebra; FUZZY-SET THEORY; TERMINOLOGICAL DIFFICULTIES; HEDGE ALGEBRAS; MODEL; REPRESENTATION; FUZZINESS; TERMS;
D O I：
10.3233/IFS-2012-0565
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
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.
引用
收藏
页码：447 / 456
页数：10
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