MINIMIZATION OF DETERMINISTIC FINITE AUTOMATA WITH VAGUE (FINAL) STATES AND INTUITIONISTIC FUZZY (FINAL) STATES

Document Type : Research Paper

Authors

1 Mathematics Department, Jaypee Institute of Information Technol- ogy, A-10, Sector-62, Noida-201307 (U. P.), India

2 Department of Mathematics, JSS Academy of Technical Education, C- 20/1, Sector-62, Noida-201301 (U. P), India

Abstract

In this paper, relations among the membership values of gener-
alized fuzzy languages such as intuitionistic fuzzy language, interval-valued
fuzzy language and vague language are studied. It will aid in studying the
properties of one language when the properties of another are known.
Further, existence of a minimized nite automaton with vague ( final) states
for any vague regular language recognized by a nite automaton with vague
( final) states is shown in this paper. Finally, an ecient algorithm is given
for minimizing the nite automaton with vague ( final) states. Similarly, it can
be shown for intuitionistic fuzzy regular language. These may contribute to a
better understanding of the role of nite automaton with vague ( final) states
or the nite automaton with intuitionistic fuzzy ( final) states while studying
lexical analysis, decision making etc.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 10, Issue 1 - Serial Number 1
January and February 2013
Pages 75-88

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