Rough Hyperfilters in Po-LA-Semihypergroups-Reference-Cited by-同舟云学术

Rough Hyperfilters in Po-LA-Semihypergroups

Published:2019-12-29 Issue: Volume:2019 Page:1-8
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Bouaziz Ferdaous¹,Yaqoob Naveed²^ORCID

Affiliation:

1. Department of Mathematics, College of Science and Arts Buraydha, Qassim University, Saudi Arabia

2. Department of Mathematics and Statistics, Riphah International University, I-14, Islamabad, Pakistan

Abstract

This paper concerns the study of hyperfilters of ordered LA-semihypergroups, and presents some examples in this respect. Furthermore, we study the combination of rough set theory and hyperfilters of an ordered LA-semihypergroup. We define the concept of rough hyperfilters and provide useful examples on it. A rough hyperfilter is a novel extension of hyperfilter of an ordered LA-semihypergroup. We prove that the lower approximation of a left (resp., right, bi) hyperfilter of an ordered LA-semihypergroup becomes left (resp., right, bi) hyperfilter of an ordered LA-semihypergroup. Similarly we prove it for upper approximation.

Funder

Qassim University

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2019/8326124.pdf

Reference35 articles.

1. On Hyperideals in Left Almost Semihypergroups

2. On Intra-Regular Left Almost Semihypergroups with Pure Left Identity

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