Approximations of ∈, ∈∨qk-Fuzzy Hyperideals in Ordered LA-Semihypergroups. (7th May 2021)

• Record Type: Journal Article
• Authors: Abughazalah, Nabilah; Yaqoob, Naveed; Ashraf, Samavia
• Other Names: Muhiuddin G. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2021(2021)
• Publication Date: 2021-05-07
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2021/9917947
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper concerns the relationship between rough sets, ∈, ∈ ∨ q k -fuzzy sets, and the LA-semihypergroups. We proved that the lower approximation (l -approx) and the upper approximation (u -approx) of different hyperideals of LA-semihypergroups become again hyperideal and also provided some examples. We also provided a result which shows that, if ϑ is not a hyperideal of an LA-semihypergroup P, then its lower approximation is also not a hyperideal.