Title: Intuitionistic fuzzy automata based on complete residuated lattice-valued logic

Authors: Qiansheng Zhang; Yirong Huang

Addresses: School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510420, China ' Sun Yat-sen Business School, Sun Yat-sen University, Guangzhou 510275, China

Abstract: This paper introduces a new fundamental theory of intuitionistic fuzzy automata based on complete residuated lattice-valued logic. First it deals with the extension for the intuitionistic fuzzy transition relation of states and particularly presents a characterisation of complete residuated lattice by L valued intuitionistic fuzzy automata. Afterwards, intuitionistic fuzzy subautomata, successor and source operators are proposed, and some of their basic properties and equivalent relations are also studied.

Keywords: intuitionistic fuzzy sets; IFS; intuitionistic fuzzy automata; complete residuated lattice.

DOI: 10.1504/IJMPT.2012.051346

International Journal of Materials and Product Technology, 2012 Vol.45 No.1/2/3/4, pp.108 - 118

Published online: 18 Sep 2014 *

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