ALGEBRAIC HYPERSTRUCTURES OF SOFT SETS ASSOCIATED WITH TERNARY SEMIHYPERGROUPS

Kostaq Hila; Krisanthi Naka; Violeta Leoreanu-Fotea; Sabri Sadiku

ALGEBRAIC HYPERSTRUCTURES OF SOFT SETS ASSOCIATED WITH TERNARY SEMIHYPERGROUPS

Autori

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

Parole chiave:

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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Pubblicato

2013-05-24

Come citare

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. Recuperato da https://journals.uniurb.it/index.php/ijpam/article/view/6069