Journal
FUZZY SETS AND SYSTEMS
Volume 442, Issue -, Pages 309-330Publisher
ELSEVIER
DOI: 10.1016/j.fss.2022.04.003
Keywords
Tiling arrays; Array grammars; Picture languages; Fuzzy finite automata; Two dimensional fuzzy languages
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This paper presents a theoretical study on two dimensional fuzzy regular languages and two dimensional fuzzy finite state automata. It discusses the closure properties of two dimensional fuzzy regular languages and their applications in kolam patterns.
A two dimensional string is called a picture and is defined as a rectangular array of symbols taken from a finite alphabet. A two dimensional language or a picture language is a set of pictures. In this paper, a theoretical study is reported for two dimensional fuzzy regular languages generated by two dimensional fuzzy regular grammars and the two dimensional fuzzy finite state automata for the two dimensional fuzzy regular languages. We can construct the two dimensional fuzzy finite state automaton from the given two dimensional fuzzy regular grammar and vice versa. Further, we discuss some of the closure properties of two dimensional fuzzy regular languages with examples. We discuss the applications of two dimensional fuzzy regular language with respect to kolam patterns. (c) 2022 Elsevier B.V. All rights reserved.
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