On the categories of L-Valued and Q-Valued 6 deterministic fuzzy automata

Dubey, M. K. and Tiwari, S. P. and Kavikumar, J. (2021) On the categories of L-Valued and Q-Valued 6 deterministic fuzzy automata. New Mathematics and Natural Computation, 17 (1). pp. 1-22.

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Abstract

Automata and languages have been studied in the context of different lattice structures by several authors. This paper is toward the categorical study of deterministic lattice-valued (L-valued) fuzzy automata and deterministic quantale-valued (Q-valued) fuzzy automata. The existence of initial and final objects in the subcategory of category of deterministic lattice-valued fuzzy automata is shown. We also show that there is an adjunction between the category of deterministic lattice-valued and quantale-valued fuzzy automata.

Item Type:	Article
Uncontrolled Keywords:	Quantale; deterministic L-valued fuzzy automaton; deterministic Q-valued fuzzy automaton; category.
Subjects:	Q Science > QC Physics > QC1-75 General
Divisions:	Faculty of Applied Science and Technology > Department of Mathematics and Statistics
Depositing User:	Mr. Abdul Rahim Mat Radzuan
Date Deposited:	15 Nov 2021 06:37
Last Modified:	15 Nov 2021 06:37
URI:	http://eprints.uthm.edu.my/id/eprint/2817

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