Structural Properties of Cubic Sets in Regular LA-semihypergroups

Muhammad Gulistan; Madad Khan; Naveed Yaqoob; Muhammad Shahzad

doi:10.1016/j.fiae.2017.03.005

Fuzzy Information and Engineering (Mar 2017)

Structural Properties of Cubic Sets in Regular LA-semihypergroups

Muhammad Gulistan,
Madad Khan,
Naveed Yaqoob,
Muhammad Shahzad

Affiliations

Muhammad Gulistan: Department of Mathematics, Hazara University, Mansehra, Pakistan
Madad Khan: Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
Naveed Yaqoob: Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Zulfi, Saudi Arabia
Muhammad Shahzad: Department of Mathematics, Hazara University, Mansehra, Pakistan

DOI: https://doi.org/10.1016/j.fiae.2017.03.005
Journal volume & issue: Vol. 9, no. 1
pp. 93 – 116

Abstract

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In this article we characterize the regular LA-semihypergroups in terms of (∈Γ,∈Γ∨qΔ)-cubic (left, right, two sided, bi, generalized bi, interior, quasi)-hyperideals of LA-semihypergroups. Meanwhile, some illustrative examples are given to show the rationality of the definitions popularized in the present paper.

Published in Fuzzy Information and Engineering

ISSN: 1616-8658 (Print); 1616-8666 (Online)
Publisher: Tsinghua University Press
Country of publisher: China
LCC subjects: Technology: Engineering (General). Civil engineering (General); Science: Mathematics
Website: https://www.sciopen.com/journal/1616-8658

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