Recognizability of Intuitionistic Fuzzy Finite Automata-Homomorphic Images

Author

Jordon, A. Jeny ; Lakra, Telesphor ; Priya, K. Jency ; Rajaretnam, T.

Author_Institution

Dept. of Math., St. Joseph´s Coll., Trichirappalli, India

fYear

2014

fDate

Feb. 27 2014-March 1 2014

Firstpage

66

Lastpage

70

Abstract

An intuitionistic fuzzy finite automaton with a unique membership transition on an input symbol is considered. It is shown that, if h : Γ* → Σ* is a morphism and h^-1(1) = 1, then the image of a recognizable subset of Γ* is a recognizable subset of Σ* and if h is fine, then the inverse image of recognizable subset of Σ* is recognizable. It is also proved that the shuffle product of any two recognizable sets is recognizable.

Keywords

finite automata; fuzzy logic; fuzzy set theory; image recognition; fine morphism; homomorphic image; intuitionistic fuzzy finite automata recognizability; inverse image recognition; membership transition; shuffle product; subset recognition; Automata; Computational modeling; Formal languages; Fuzzy sets; Image recognition; Integrated circuits; Mathematical model; Intuitionistic fuzzy behavior; Intuitionistic fuzzy finite automaton; Intuitionistic fuzzy sets; fine morphism; shuffle product;

fLanguage

English

Publisher

ieee

Conference_Titel

Computing and Communication Technologies (WCCCT), 2014 World Congress on

Conference_Location

Trichirappalli

Print_ISBN

978-1-4799-2876-7

Type

conf

DOI

10.1109/WCCCT.2014.56

Filename

6755107