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

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

Text J12663_9d6f7e91254ff54faad36f24b91eee91.pdf Restricted to Registered users only Download (1MB) | Request a copy

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) 26 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 > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:	Faculty of Applied Science and Technology > Department of Mathematics and Statistics
Depositing User:	Mr. Abdul Rahim Mat Radzuan
Date Deposited:	17 Nov 2021 08:46
Last Modified:	17 Nov 2021 08:46
URI:	http://eprints.uthm.edu.my/id/eprint/3475

Actions (login required)

View Item