Rough Hyperfilters in Po-LA-Semihypergroups

Ferdaous Bouaziz and Naveed Yaqoob

Discrete Dynamics in Nature and Society, 2019, vol. 2019, 1-8

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.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:8326124

DOI: 10.1155/2019/8326124

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