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On Generalized Roughness in LA-Semigroups

Author

Listed:
  • 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)

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.

Suggested Citation

  • Noor Rehman & Choonkil Park & Syed Inayat Ali Shah & Abbas Ali, 2018. "On Generalized Roughness in LA-Semigroups," Mathematics, MDPI, vol. 6(7), pages 1-8, June.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:7:p:112-:d:154893
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    References listed on IDEAS

    as
    1. Wieslaw A. Dudek & Young Bae Jun, 2005. "Rough subalgebras of some binary algebras connected with logics," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-7, January.
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