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

Nishad T. M., B Mohamed Harif, A Prasanna

Abstract


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.

Keywords


Fuzzy Graph; Weak Fuzzy Graph; Fermat’s Fuzzy Graph; Fermat’s Weak Fuzzy Graphs; Beal’s Fuzzy Graph; Beal’s Weak Fuzzy Graphs.

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DOI: http://dx.doi.org/10.23755/rm.v43i0.854

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