Interval type-2 fuzzy automata and Interval type-2 fuzzy grammar

Sharan, S. and Sharma, B. K. and Kavikumar, Jacob (2021) Interval type-2 fuzzy automata and Interval type-2 fuzzy grammar. Journal of Applied Mathematics and Computing.

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Abstract

The purpose of the present work is to introduce and study the concept of interval type-2 (IT2) fuzzy grammar which recognizes the given IT2 fuzzy languages. The relationship between IT2 fuzzy automata and IT2 fuzzy (weak) regular grammars is discussed. Specifically, the results we obtained here are (i ) IT2 fuzzy weak regular grammar and IT2 fuzzy regular grammar generate the same classes of IT2 fuzzy languages (ii ) for a given IT2 fuzzy regular grammars, there exists an IT2 fuzzy automata such that they accept the same IT2 fuzzy languages, and vice versa. In addition, we define some operations on IT2 fuzzy languages and it is shown that IT2 fuzzy languages recognized by IT2 fuzzy automata are closed under the operations of union, intersection, concatenation and Kleene closure, but are not closed under complement.

Item Type:	Article
Uncontrolled Keywords:	Interval type-2 fuzzy set; interval type-2 fuzzy automata; interval type-2 fuzzy grammar · Interval type-2 fuzzy languages
Subjects:	Q Science > QA Mathematics > QA71-90 Instruments and machines
Divisions:	Faculty of Applied Science and Technology > Department of Mathematics and Statistics
Depositing User:	Mr. Abdul Rahim Mat Radzuan
Date Deposited:	17 Nov 2021 07:32
Last Modified:	17 Nov 2021 07:32
URI:	http://eprints.uthm.edu.my/id/eprint/3459

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