On the Categories of L-Valued and Q-Valued Deterministic Fuzzy Automata-Reference-Cited by-同舟云学术

On the Categories of L-Valued and Q-Valued Deterministic Fuzzy Automata

Published:2021-04-01 Issue:03 Volume:17 Page:753-774
ISSN:1793-0057
Container-title:New Mathematics and Natural Computation
language:en
Short-container-title:New Math. and Nat. Computation

Author:

Dubey M. K.¹,Tiwari S. P.²,Kavikumar J.³

Affiliation:

1. Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur 303007, India

2. Department of Mathematics and Computing, Indian Institute of Technology (ISM), Dhanbad 826004, India

3. Department of Mathematics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia

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 ([Formula: see text]-valued) fuzzy automata and deterministic quantale-valued ([Formula: see text]-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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Computer Science Applications,Human-Computer Interaction

Link

https://www.worldscientific.com/doi/pdf/10.1142/S179300572150037X

Reference45 articles.

1. Quantales, observational logic and process semantics

2. Isomorphism between two BL-general fuzzy automata

3. Machines in a Category: An Expository Introduction

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