Group Decision Making in Conditions of Uncertainty using Fermat’s Weak Fuzzy Graphs and Beal’s Weak Fuzzy Graphs

Decision making is a process of solving problems for choosing the best alternative. The best way to illustrate the alternatives and relation between them is a graph. Developing a fuzzy graph is the convenient way of illutration if there is uncertainty in alternatives or in their relation. In group decision making problems, according to a group of experts, the relation between alternatives involves measure of preference and non preference. Intuitionistic fuzzy graph has limitations to model such problems. In n- Pythagorean fuzzy graphs the hesitancy degree and other decision tools are restricted to second degree.To overcome the flaws of intuitionistic fuzzy graphs and n- Pythagorean fuzzy graphs, we introduced Fermat’s Fuzzy Graphs in 2022. In this  paper the decision tools are generalized for Fermat’s Fuzzy Graphs. A practical example of selection of investement scheme is illustrated. Finally, Beal’s Fuzzy graphs is developed as generalization of Fermat’s Fuzzy Graphs

On pseudo regular spherical fuzzy graphs

In this paper, pseudo regular and totally pseudo regular spherical fuzzy graphs are defined using pseudo degree and total pseudo degree of a vertex. A necessary and sufficient condition for pseudo regular spherical fuzzy graph is given. Some properties of pseudo regular and totally pseudo regular spherical fuzzy graphs are derived. Theorems related to these concepts are stated and proved

General Fuzzy Graphs

Fuzzy graphs have many applications in database theory,neural networks and decision making problems.Literature survey shows that in the exisiting definition of fuzzy graph the membership value on links is always less than or equal to the minimum of membership values on the corresponding nodes.This restriction brings a difficulty to address some practical problems where the membership value on links does not depend on that of corresponding nodes.So there exists a gap in literature of fuzzy graphs.In this article we have developed general fuzzy graph and general weak fuzzy graphs and have proved some properties of general weak fuzzy graphs

Human Immunodeficiency Virus Type 1 Group O Infection in France: Clinical Features and Immunovirological Response to Antiretrovirals

International audienc