In this paper, the notion ofgraph operationsdisjunction and symmetric difference on bipolar fuzzy graphs are defined and it is proved that the new graph is a bipolar graph. Furthermore,the new concepts of bipolar fuzzy graphs calledupperstrong and lower strongbipolar fuzzy graphare introduced and some related </...

data obtained in association with many real-life random experiments from different fields cannot be perfectly/exactly quantified.hspace{.1cm}often the underlying imprecision can be suitably described in terms of fuzzy numbers/values. for these random experiments, the scale of fuzzy numbers/values enables to capture more variability and subjectivity than that of categorical data, and more accura...

Soft set theory is a newly emerging mathematical tool to deal with uncertain problems. The Parameterization tools of soft set theory enhance the flexibility of its applications to different problems. In this paper, we apply fuzzy soft set technology through the well known Sanchez’s approach for Medical Diagnosis using arithmetic operations on Trapezoidal fuzzy numbers and exhibit the technique ...

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 concept of an antipodal bipolar fuzzy graph of a given bipolar fuzzy graph is introduced. Characterizations of antipodal bipolar fuzzy graphs are presented when the bipolar fuzzy graph is complete or strong. Some isomorphic properties of antipodal bipolar fuzzy graph are discussed. The notion of self median bipolar fuzzy graphs of a given bipolar fuzzy graph is also introduced.

We introduce the notion of bipolar fuzzy Lie sub-superalgebras (resp. bipolar fuzzy ideals) and present some of their properties. First we investigate the properties of bipolar fuzzy Lie sub-superalgebras and bipolar fuzzy ideals under homomorphisms of Lie superalgebras. Next we study bipolar fuzzy bracket product, solvable bipolar fuzzy ideals and nilpotent bipolar fuzzy ideals of Lie superalg...

In this paper, we define the notion of a bipolar general fuzzy automaton, then we construct some closure operators on the set of states of a bipolar general fuzzy automaton. Also, we construct some topologies on the set of states of a bipolar general fuzzy automaton. Then we obtain some relationships between them.

our aim in this paper is to introduce the notion of fuzzy soft near-subtraction semigroupsand fuzzy soft ideals of near-subtraction semigroups. we discuss some important properties of these new fuzzy algebraic structure and investigate some examples and counter examples.

in this paper, a novel method for ranking of fuzzy numbers are proposed. in this method, decision maker is defined based on the center of mass at some cuts of a pair of fuzzy numbers in discreet version and center of mass on all of cuts of a pair of fuzzy numbers in continuous version. our method can rank more than two fuzzy numbers simultaneously. also, some properties of methods are described...