On Algebraic Properties of Inverse Fuzzy Languages
Pamy Sebastian, Varghese Jacob
Asian Research Journal of Mathematics · pp. 59–66 · Published 3 Jun 2020
10.9734/arjom/2020/v16i730202Abstract
Aims/Objectives: In this paper, we investigate some of the algebraic properties of inverse fuzzy languages. We proved that a fuzzy automaton is inverse if and only if the transition monoid is an inverse monoid. A fuzzy language is an inverse fuzzy language if the minimal fuzzy automaton recognizing that fuzzy language is an inverse fuzzy automaton. We also discuss some more properties of an inverse fuzzy language based on the fact that an inverse monoid is one which is regular and idempotent commute.
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