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 making problem. We give a general algorithm...

In this paper we introduce bipolar fuzzy subsemigroup, bipolar fuzzy left (right) ideals and bipolar fuzzy bi-ideal in ordered semigroups. We characterize different classes of ordered semigroups by the properties of their bipolar fuzzy ideals and bipolar fuzzy bi-ideals.

Let G= (V,E,σ,μ) be a simple connected undirected fuzzy graph. In this paper, we use a fuzzy graph model to represent a traffic network of a city and discuss a method to find the different type of accidental zones in a traffic flows. Depending on the possibility of accident, this paper classifies accidental zone of a traffic flow into three type’s namely α-strong, β-strong and δ-strong accident...

Bipolar fuzzy soft set theory, which is a very useful hybrid in decision making problems, mathematical model that has been emphasized especially recently. In this paper, the concepts of (α,β)-cuts, first type semi-strong second strong inverse semi-weak (α,β)-cuts and weak bipolar sets were introduced together with some their properties. addition, distinctive properties between established. More...

The notions of bipolar fuzzy hyper MV-subalgebras, (weak) bipolar fuzzy hyper MV-deductive system and precisely weak bipolar fuzzy hyper MV-deductive system are introduced, and their relations are investigated. Characterizations of bipolar fuzzy hyper MV-subalgebras and weak bipolar fuzzy hyper MV-deductive systems are provided.

The notions of a bipolar fuzzy regularity, a bipolar fuzzy regular subalgebra, a bipolar fuzzy filter, and a bipolar fuzzy closed quasi filter in BCH-algebras are introduced, and several properties are investigated. A characterization of a bipolar fuzzy filter is provided. Mathematics Subject Classification: 06F35, 03G25, 08A72

The notion of bipolar fuzzy set was initiated by Lee (2000) as a generalization of the notion fuzzy sets and intuitionistic fuzzy sets, which have drawn attention of many mathematicians and computer scientists. In this paper, we initiate a study on bipolar ( ,   )-fuzzy sets in -semihypergroups. By using the concept of bipolar ( ,   )-fuzzy sets (Yaqoob and Ansari, 2013), we introduce the ...

In this research paper, based on the notion of generalized single valued neutrosophic graphs of type 1, we presented a new type of neutrosophic graphs called generalized bipolar neutrosophic graphs of type 1 (GBNG1) and presented a matrix representation for it and studied some properties of this new concept. The concept of GBNG1 is an extension of generalized fuzzy graphs of type 1 (GFG1) and g...

In this article, we introduce some connectivity concepts in bipolar fuzzy graphs. Analogous to fuzzy cutvertices and fuzzy bridges in fuzzy graphs, bipolar fuzzy cutvertices and bipolar fuzzy bridges are introduced and characterized. We also propose the concepts of gain and loss for paths and pairs of vertices. Connectivity in complete bipolar fuzzy graphs is also discussed.