Approximations of bipolar fuzzy Γ-hyperideals of Γ-semihypergroups

This paper studies relationship between bipolar fuzzy sets, rough sets and Γ -semihypergroups. We study the notion of rough bipolar fuzzy Γ -hyperideals in Γ -semihypergroups. Then we prove that the lower and upper approximation of a bipolar fuzzy Γ -hyperideal is a bipolar fuzzy Γ -hyperideal.

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Bibliographische Detailangaben
Veröffentlicht in:	Afrika mathematica 2018-09, Vol.29 (5-6), p.869-886
Hauptverfasser:	Yaqoob, Naveed, Rehman, Inayatur, Aslam, Muhammad
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Fuzzy sets History of Mathematical Sciences Mathematics Mathematics and Statistics Mathematics Education
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	This paper studies relationship between bipolar fuzzy sets, rough sets and Γ -semihypergroups. We study the notion of rough bipolar fuzzy Γ -hyperideals in Γ -semihypergroups. Then we prove that the lower and upper approximation of a bipolar fuzzy Γ -hyperideal is a bipolar fuzzy Γ -hyperideal.
ISSN:	1012-9405 2190-7668
DOI:	10.1007/s13370-018-0585-1