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Rough Hyperfilters in Po-LA-Semihypergroups

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  • Ferdaous Bouaziz
  • Naveed Yaqoob

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.

Suggested Citation

  • Ferdaous Bouaziz & Naveed Yaqoob, 2019. "Rough Hyperfilters in Po-LA-Semihypergroups," Discrete Dynamics in Nature and Society, Hindawi, vol. 2019, pages 1-8, December.
  • Handle: RePEc:hin:jnddns:8326124
    DOI: 10.1155/2019/8326124
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