The Relationship Among Fuzzy Languages, Upper Sets and Fuzzy Ordered Monoids

M. K. Dubey () and S. P. Tiwari
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M. K. Dubey: Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad 826004, India
S. P. Tiwari: Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad 826004, India

New Mathematics and Natural Computation (NMNC), 2019, vol. 15, issue 02, 361-372

Abstract: The concept of recognizability of a fuzzy language by crisp deterministic fuzzy automaton and monoid is well known. The purpose of the present work is to study the recognizability of fuzzy languages by fuzzy ordered monoids. We show that the upper sets of a given fuzzy ordered monoid play a nice role in such studies. Also, we introduce the syntactic fuzzy ordered monoid of an upper set which recognizes this upper set.

Keywords: Residuated lattice; fuzzy ordered monoid; upper set; fuzzy language (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S1793005719500200

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