In this research study, we present a novel frame work for handling bipolar fuzzy soft information by combining bipolar fuzzy soft sets with graphs. We introduce several basic notions concerning bipolar fuzzy soft graphs and investigate some related properties. We also consider the application of the bipolar fuzzy soft graphs. In particular, three efficient algorithms are developed to solve mult...

Probabilistic hesitant fuzzy set (PHFS) is a fruitful concept that adds to hesitant fuzzy set (HFS) the term of probability which is able to retain more information than the usual HFS. Here, we demonstrate that the existing definitions of PHFS are not still reasonable, and therefore, we first improve the PHFS definition. By endowing the set and algebraic operations with a new re-definition of P...

one of important issues in designing a supply chain is supplier selection. this issue is complicated, because each supplier should satisfy some criteria from buyer and choosing among them is actually a multi criteria decision making problem. so, there is a need for a structured and systematic approach to solve this problem. in this article, we address supplier selection in an advertising indust...

The Fermatean hesitant fuzzy set idea obtained by combining sets and can be used in practice to simplify the solution of complicated multi-criteria decision-making problems. Initially, notion a has been given, operations related this concept have presented. basic properties aggregation operators based on studied. To choose best alternative practice, novel method that is with created. Finally, n...