SYNTACTIC FUZZY MONOIDS

Authors

  • Antonios Kalampakas American University of the Middle East - Department of Mathematics
  • Olympia Louscou-Bozapalidou Technical Institute of West Macedonia - Section of Mathematics and Informatics

Keywords:

fuzzy sets, recognizability, monoid

Abstract

Fuzzy monoids and fuzzy congruences are introduced and the syntactic fuzzy monoid ML associated to a subset L of a fuzzy monoid M is constructed.  It is shown that ML is minimal among all fuzzy epimorphisms h : M \(\longrightarrow\) M′ whose kernel saturates L.  The subset L is said to be fuzzy recognizable whenever ML is finite.  The so obtained class is closed under boolean operations and inverse morphisms.

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Published

2016-07-29

How to Cite

Kalampakas, A., & Louscou-Bozapalidou, O. (2016). SYNTACTIC FUZZY MONOIDS. Italian Journal of Pure and Applied Mathematics, 36, 13–22. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6658

Issue

N°36 - July 2016

Section

Articoli - Forum Editrice

License

Copyright (c) 2016 Antonios Kalampakas, Olympia Louscou-Bozapalidou

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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