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

Author

Listed:
  • 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)

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.

Suggested Citation

  • M. K. Dubey & S. P. Tiwari, 2019. "The Relationship Among Fuzzy Languages, Upper Sets and Fuzzy Ordered Monoids," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 361-372, July.
    • Handle: RePEc:wsi:nmncxx:v:15:y:2019:i:02:n:s1793005719500200
    DOI: 10.1142/S1793005719500200
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