3 years ago

Approximations of bipolar fuzzy $\Gamma $ Γ -hyperideals of $\Gamma $ Γ -semihypergroups

Muhammad Aslam, Naveed Yaqoob, Inayatur Rehman


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

Publisher URL: https://link.springer.com/article/10.1007/s13370-018-0585-1

DOI: 10.1007/s13370-018-0585-1

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