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.
Highlights
Molodtsov (1999) pioneered the use of soft set theory as a mathematical tool for resolving ambiguities that traditional mathematical theory is incapable of resolving
TOPSIS of Fuzzy Soft Sets with Distinct Ideal Solutions and Distance Formulas we present the flowchart of integrated fuzzy TOPSIS and the steps of fuzzy soft set in TOPSIS to further explained the study. 1.1
The fuzzy TOPSIS method introduced by Hwang and Yoon (1981) was analyze in the fourth step where the values of fuzzy positive ideal solution (FPIS) and fuzzy negative ideal solution (FNIS) was changed to the universal values (1,1,1) and (0,0,0) and the fourth step where two other distance methods were applied
Summary
Molodtsov (1999) pioneered the use of soft set theory as a mathematical tool for resolving ambiguities that traditional mathematical theory is incapable of resolving. A detailed theoretical study was conducted and presented on the application of soft set theory to decision-making problems involving the reduction of rough sets (Maji, Biswas, & Roy, 2003). They were the first to introduce the concept of fuzzy soft set in 2001, combining fuzzy set and soft set theory. The purpose of this study was to introduce the TOPSIS method for decision making based on different ideal solution and distance formula of fuzzy soft.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
