On a category of fuzzy automata with relations

Article type: Research Article

Authors: Tiwari, S.P.^* | Gautam, Vinay¹

Affiliations: Department of Applied Mathematics, Indian School of Mines, Dhanbad, India

Correspondence: [*] Corresponding author. S.P. Tiwari, Department of Applied Mathematics, Indian School of Mines, Dhanbad 826004, India. Tel.: +91 326 2235480; Fax: +91 326 2296563; E-mail: sptiwarimaths@gmail.com.

Note: [1] E-mail: gautam.ism181@gmail.com

Abstract: The purpose of present work is to introduce a new category of fuzzy automata with morphisms as relations. We introduce and study the categorical concepts such as biproducts, monomorphisms, epimorphisms, injectives and projectives in this category. Finally, two functorial relationships are introduced between this new category of fuzzy automata and the category of fuzzy automata introduced and studied in [1].

Keywords: Fuzzy automaton, homomorphism, biproduct, adjunction

DOI: 10.3233/IFS-152078

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 6, pp. 3301-3309, 2016