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In this paper, we introduced the concepts of roughness and fuzziness in ordered ternary semigroups. We proved that the lower and upper approximation of an ordered ternary subsemigroup (resp. left ideal, right ideal, lateral ideal, bi-ideal, interior ideal) in an ordered ternary semigroup is an ordered ternary subsemigroup (resp. left ideal, right ideal,(More)
In this paper, we have introduced the notion of rough M-hypersystem, rough N-hypersystem, fuzzy M-hypersystem and fuzzy N-hypersystem in a $$\Upgamma$$ -semihypergroup and some related properties are investigated. Moreover, we have introduced the notion of fuzzy $$\Upgamma$$ -hyperideal in $$\Upgamma$$ -semihypergroup. We have also introduced rough(More)
The concept of quasi-coincidence of interval valued fuzzy point with an interval valued fuzzy subset has considered. By using this idea, the notion of interval valued (α, β)-fuzzy hyperideal in a semihyperring introduced and consequently , a generalization of interval valued fuzzy hyperideals and interval valued fuzzy hyperideals have defined. In this(More)
In this article, we combine the concept of a bipolar fuzzy set and a soft set. We introduce the notion of bipolar fuzzy soft set and study fundamental properties. We study basic operations on bipolar fuzzy soft set. We define extended union, intersection of two bipolar fuzzy soft set. We also give an application of bipolar fuzzy soft set into decision(More)