On Generalized Roughness in LA-Semigroups

Noor Rehman; Choonkil Park; Syed  Inayat Ali Shah; Abbas Ali

doi:10.3390/math6070112

Mathematics (Jun 2018)

On Generalized Roughness in LA-Semigroups

Noor Rehman,
Choonkil Park,
Syed Inayat Ali Shah,
Abbas Ali

Affiliations

Noor Rehman: Department of Mathematics and Statistics, Riphah International University, Hajj Complex I-14, Islamabad 44000, Pakistan
Choonkil Park: Department of Mathematics, Research Institute of Natural Sciences, Hanyang University, Seoul 04763, Korea
Syed Inayat Ali Shah: Department of Mathematics, Islamia College University, Peshawar 25120, Pakistan
Abbas Ali: Department of Mathematics and Statistics, Riphah International University, Hajj Complex I-14, Islamabad 44000, Pakistan

DOI: https://doi.org/10.3390/math6070112
Journal volume & issue: Vol. 6, no. 7
p. 112

Abstract

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The generalized roughness in LA-semigroups is introduced, and several properties of lower and upper approximations are discussed. We provide examples to show that the lower approximation of a subset of an LA-semigroup may not be an LA-subsemigroup/ideal of LA-semigroup under a set valued homomorphism.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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