UP-ALGEBRAS CHARACTERIZED BY THEIR ANTI-FUZZY UP-IDEALS AND ANTI-FUZZY UP-SUBALGEBRAS

Authors

  • Waraphorn Kaijae University of Phayao - Department of Mathematics
  • Polatip Poungsumpao University of Phayao - Department of Mathematics
  • Saranya Arayarangsi University of Phayao - Department of Mathematics
  • Aiyared Iampan University of Phayao - Department of Mathematics

Keywords:

UP-algebra, anti-fuzzy UP-ideal, anti-fuzzy UP-subalgebra

Abstract

In this paper, anti-fuzzy UP-ideals and anti-fuzzy UP-subalgebras concepts of UP-algebras are introduced and proved some results.  We also introduce the notions of Cartesian product and dot product of fuzzy sets, and then we study related properties.  Further, we discuss the relation between anti-fuzzy UP-ideals (resp. anti-fuzzy UP-subalgebras) and level subsets of a fuzzy set.  Anti-fuzzy UP-ideals and anti-fuzzy UP-subalgebras are also applied in the Cartesian product of UP-algebras. 

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Published

2016-07-29

How to Cite

Kaijae, W., Poungsumpao, P., Arayarangsi, S., & Iampan, A. (2016). UP-ALGEBRAS CHARACTERIZED BY THEIR ANTI-FUZZY UP-IDEALS AND ANTI-FUZZY UP-SUBALGEBRAS. Italian Journal of Pure and Applied Mathematics, 36, 667–692. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6532

Issue

N°36 - July 2016

Section

Articoli - Forum Editrice

License

Copyright (c) 2016 Waraphorn Kaijae, Polatip Poungsumpao, Saranya Arayarangsi, Aiyared Iampan

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)