ALGEBRAIC HYPERSTRUCTURES OF SOFT SETS ASSOCIATED WITH TERNARY SEMIHYPERGROUPS

Authors

  • Kostaq Hila University of Gjirokastra - Department of Mathematics & Computer Science
  • Krisanthi Naka University of Gjirokastra - Department of Mathematics & Computer Science
  • Violeta Leoreanu-Fotea "Al.I. Cuza" University Iasi - Faculty of Mathematics
  • Sabri Sadiku University of Prishtina - Faculty of Mining and Metallurgy

Keywords:

ternary semihypergroup, soft set, soft ternary semihypergroup, soft left (lateral, right) hyperideal, soft hyperideal, soft quasi (bi)-hyperideal

Abstract

Molodtsov introduced the concept of soft set, which can be seen and used as a new mathematical tool for dealing with uncertainty.  In this paper we introduce and initiate the study of soft ternary semihypergroups by using soft set theory.  The notions of soft ternary semihypergroups, soft ternary subsemihypergroups, soft left (right, lateral) hyperideals, soft hyperideals, soft quasi-hyperideals and soft bi-hyperideals are introduced, and several related properties are investigated.

Cover of n°30 Italian Journal of Pure and Applied Mathematics

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Published

2013-05-24

How to Cite

Hila, K., Naka, K., Leoreanu-Fotea, V., & Sadiku, S. (2013). ALGEBRAIC HYPERSTRUCTURES OF SOFT SETS ASSOCIATED WITH TERNARY SEMIHYPERGROUPS. Italian Journal of Pure and Applied Mathematics, 30, 349–372. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6069

Issue

N°30 - May 2013

Section

Articoli - Forum Editrice

License

Copyright (c) 2013 Kostaq Hila, Krisanthi Naka, Violeta Leoreanu-Fotea, Sabri Sadiku

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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