The partition of indeterminacy function the neutrosophic set into contradiction part and ignorance represent quadripartitioned single valued set. In this work, new concept bipolar graph is established, operations on it are studied. Cartesian product, cross lexicographic strong product composition investigated. proposed concepts illustrated with examples.

In this paper, the effect of the removal of a node or an arc of a fuzzy graph on the minimum strong dominating set of the fuzzy graph is studied. The motivation behind this study is the identification of fault tolerance in the topological design of a network. That is, the ability of the network to provide service even when it contains a faulty component or components. MSC: 05C69.

This paper deals with database fuzzy queries in the context where the fuzzy preference conditions involved are of a bipolar nature (the first pole corresponding to a constraint, the second to a wish). More precisely, we consider queries where an inclusion-based condition comes into play (a typical example being a division query). Due to the fact that bipolar fuzzy queries entail using a framewo...

We introduce the notion of bipolar fuzzy soft Lie subalgebras and investigate some of their properties. We also introduce the concept of an (∈,∈ ∨q)-bipolar fuzzy (soft) Lie subalgebra and present some of its properties.

In this dissertation, we study the picture fuzzy graph (PFG) in decision-making problem based on relation and some types of graphs such as complete graphs, strong complement are described also Pythagorean decision making environment. Further, present an application Fuzzy Graphs Picture

The unavoidable imprecision of measurements of continuous physical quantities can be modelled by using the concept of fuzzy numbers and fuzzy vectors. Concerning a quantitative usage of such data the classical concept of relative frequencies for real data has to be extended to so-called fuzzy relative frequencies for fuzzy data, whereby the fuzzy relative frequency of a set is a fuzzy number. A...