FUZZY HYPER KS-SEMIGROUPS

Authors

  • Bijan Davvaz Yazd University - Department of Mathematics
  • Ann Leslie O. Vicedo MSU Iligan Institute of Technology - Department of Mathematics and Statistics
  • Jocelyn P. Vilela MSU Iligan Institute of Technology - Department of Mathematics and Statistics

Abstract

Hyperstructure theory is applied to KS-semigroups, an algebra related to BCK-algebra and semigroup and thus, the notion of hyper KS-semigroups is introduced.

In this paper, the concept of fuzzy sets is applied to hyper KS-semigroups.  In this fuzzification, the notions of fuzzy hyper subKS-semigroups and fuzzy hyper KS-ideals are introduced and relationships among them are investigated.  Using the concept of upper level subsets, relationships between hyper subKS-semigroups (resp. hyper KS-ideals) and fuzzy hyper subKS-semigroups (resp. fuzzy hyper KS-ideals) are established.  Finally, under a homomorphism f : G \(\longrightarrow\) H of hyper KS-semigroups, it is shown that the pre-image of a fuzzy hyper KS-ideal of H is a fuzzy hyper KS-ideal of G.

 

Cover of n°34 Italian Journal of Pure and Applied Mathematics

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Published

2015-06-30

How to Cite

Davvaz, B., Vicedo, A. L. O., & Vilela, J. P. (2015). FUZZY HYPER KS-SEMIGROUPS. Italian Journal of Pure and Applied Mathematics, 34, 243–250. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6356

Issue

N°34 - June 2015

Section

Articoli - Forum Editrice

License

Copyright (c) 2015 Bijan Davvaz, Ann Leslie O. Vicedo, Jocelyn P. Vilela

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)