Correlation Coefficient Measure of Intuitionistic Fuzzy Graphs with Application in Money Investing Schemes

keywords: Intuitionistic fuzzy preference relation, intuitionistic fuzzy adjacency matrix, intuitionistic fuzzy laplacian matrix, intuitionistic fuzzy graph, Laplacian energy, correlation coefficient, group decision-making problem
Intuitionistic fuzzy graphs are extensions of fuzzy graphs that preserve the dualism characteristics of fuzzy graphs and have a stronger capacity to describe ambiguity in actual decision-making issues than fuzzy graphs. In this research paper, the Laplacian energy and correlation coefficient of intuitionistic fuzzy graphs are computed for finding group decision-making problems that are supported by intuitionistic fuzzy preference relations. We propose a novel method for calculating establishments' comparative position loads by manipulating the undecided corroboration of IFPR and the correlation coefficient of one personality IFPR to the other items. As a result, we comprehend a large number of establishments in the detailed IFPR and devise a correlation coefficient process to investigate the significance of alternatives and the best of the alternatives. Finally, we present a collaborative decision-making technique in a money-investing scheme, and that idea may be devised in disparate beneficial investing schemes.
mathematics subject classification 2000: 03E72, 03B52
reference: Vol. 42, 2023, No. 2, pp. 436–456