In this paper, we discuss balanced bipolar intuitionistic fuzzy graphs and study some of their properties 1.Introduction Graph theory is developed when Euler gave the solution to the famous Konigsberg bridge problem in 1736. Graph theory is very useful as a branch of combinatorics in the field of geometry, algebra, number theory, topology, operations research, optimization and computer science....

The first aim to this paper is introduce the notions of bipolar fuzzy soft metric space and (D-)metric space. In order define these concepts, concept points has been brought literature have examined in detail. Moreover, sequences cauchy were defined some their properties examined. addition all this, many examples are given better understand concepts features studied contribute a understanding p...

Formal Concept Analysis (FCA) is a mathematical framework for knowledge processing tasks. FCA has been successfully incorporated into fuzzy setting and its extension (interval-valued fuzzy set) for handling vagueness and impreciseness in data. However, the analysis in such settings is restricted to unipolar space. Recently, some applications of bipolar information are shown in bipolar fuzzy gra...

We establish secure domination in bipolar hesitancy fuzzy graph. extend the concept to total and 2- Further some theorems examples related are discussed.

Fuzzy graph theory is used for solving real-world problems in different fields, including theoretical computer science, engineering, physics, combinatorics and medical sciences. In this paper, we present conepts of bipolar neutrosophic multigraphs, bipolar neutrosophic planar graphs, bipolar neutrosophic dual graphs, and study some of their related properties. We also describe applications of b...