Comparison Models on Soft, Fuzzy, and İntuitionistic Fuzzy Sets

Abstract

The main purpose of this study is to demonstrate the advantages and practicality of fuzzy set and intuitionistic fuzzy set operations, especially in comparison problems, and the parametric and ease of operation advantages of soft sets, which can be used mutually and transferred to the computer environment. This study is supported by many comparative analysis, both by solving our own problem with the methods presented in other studies and by solving the problem given in other studies with our own method. Inverse positive soft set (IPSS), inverse negative soft set (INSS), and some new useful notations are introduced. With the help of these concepts, a similarity measure was defined in which not only the alternatives but also the parameters were used in soft sets. Again, with the help of concepts such as IPSS and INSS, fuzzy and intuitionistic fuzzy sets generated by soft sets were obtained. Thus, the defined similarity measure was compared not only with the similarity measures defined on soft sets but also with the similarity measures on fuzzy and intuitionistic fuzzy sets. Finally, a similarity measure application is given for the comparison of products.