Linguistic Truth-Valued Intuitionistic Fuzzy Propositional Logic Based on LIA

DOI

10.2991/iske.2007.241How to use a DOI?

Keywords

Lattice-valued logic, Linguistic truth-valued, intuitionistic fuzzy logic,approximate reasoning

Abstract

Truth degree and falsity degree of intuitionistic fuzzy proposition are two truth values with linguistic hedge. In this paper, using the framework of linguistic truth-valued propositional logic based on lattice implication algebra, a kind of linguistic truth-valued intuitionistic fuzzy propositional logic is constructed. Some logic properties regarding reasoning are then obtained. Especially, the implication operation of linguistic truth-valued intuitionistic fuzzy propositional logic can deduce from four times implication of their truth values. Therefore, we can use more information in the process of reasoning and eventually improve the precision of reasoning.

Copyright

© 2007, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Li Zou
AU  - Shuiting Wu
AU  - Zhengjiang Wu
AU  - Yang Xu
PY  - 2007/10
DA  - 2007/10
TI  - Linguistic Truth-Valued Intuitionistic Fuzzy Propositional Logic Based on LIA
BT  - Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
PB  - Atlantis Press
SP  - 1423
EP  - 1427
SN  - 1951-6851
UR  - https://doi.org/10.2991/iske.2007.241
DO  - 10.2991/iske.2007.241
ID  - Zou2007/10
ER  -