S. P. Tiwari - Department of Applied Mathematics, Indian School of Mines, Dhanbad ۸۲۶۰۰۴, India
Anupam K. Singh - Department of Applied Mathematics, Indian School of Mines, Dhanbad-۸۲۶۰۰۴, India
Shambhu Sharan - Department of Mathematics, School of Applied Sciences, KIIT Uni- versity, Bhubaneswar-۷۵۱۰۲۴, India
Vijay K. Yadav - Department of Applied Mathematics, Indian School of Mines, Dhanbad ۸۲۶۰۰۴, India

The purpose of the present work is to introduce the concept of bifuzzy core of a fuzzy automaton, which induces a bifuzzy topology on the state-set of this fuzzy automaton. This is shown that this bifuzzy topology can be used to characterize the concepts such as bifuzzy family of submachines, bifuzzy separable family and bifuzzy retrievable family of a fuzzy automaton.

Fuzzy automata, Bifuzzy source, Bifuzzy successor, Bifuzzy core, Bifuzzy topology