Open AccessOn Algebraic Properties of Inverse Fuzzy Languages
Author(s) -
Pamy Sebastian,
Varghese Jacob
Publication year - 2020
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2020/v16i730202
Subject(s) - mathematics , inverse , monoid , fuzzy logic , algebra over a field , fuzzy subalgebra , fuzzy number , discrete mathematics , fuzzy set , pure mathematics , computer science , artificial intelligence , geometry
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.