On Generalized Roughness in LA-Semigroups

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

Mathematics, 2018, vol. 6, issue 7, 1-8

Abstract: 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.

Keywords: roughness; generalized roughness; LA-semigroup (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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