The TOPSIS of Different Ideal Solution and Distance Formula of Fuzzy Soft Set in Multi-Criteria Decision Making

Abstract

Molodtsov pioneered the concept of fuzzy soft set, which was a hybrid of fuzzy set and soft set. The fuzzy soft set is used in the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method to deal with imprecision in order to obtain the best compromise solution, which is the solution that is closest to the ideal solution, and the theory is demonstrated using multi-observer performance evaluation. Two distinct FPIS and FNIS values were used in this study: maximum and minimum values, as well as universal set values (1,1,1). (0,0,0). Additionally, this study utilised three distinct distance formulas: separation distance, Euclidean distance, and Chu's distance. Two numerical examples of multi- criteria decision making (MCDM) problems were used in this study to demonstrate the methods' consistency. Thus, it is demonstrated that our proposed methods are consistent with the ranking given by both examples.