Designing and Analyzing Fermatean Fuzzy Decision Models: A Comprehensive Decision Making Approach

In the framework of Multi-Criteria Decision Making (MCDM), this study explores the incorporation of fuzzy set theory with decision-making techniques. It starts by giving a summary of fuzzy set theory and the basic ideas that are necessary to comprehend how decisions are made. The paper presents the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) and Logarithmic Percentage Change Driven Objective Weighting (LOPCOW), which are implemented using R programming. The paper illustrates the use of these approaches for alternative ranking and objective weight evaluation with a thorough numerical example. The outcomes demonstrate how well these strategies work together to handle challenging decision-making situations. The paper offers a precise and effective approach for resolving MCDM issues by utilising the computational power of R programming.