Hybrid structures of soft and rough sets and applications
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Abstract (EN)
In this thesis, the concept of inverse positive soft set is defined and with the help of this concept, a similarity measure and the concept of fuzzy sets generated by soft sets are obtained. The similarity measure defined in soft sets is compared with other similarity measures defined on soft sets. In addition, this similarity measure is compared with fuzzy similarity measures with the help of fuzzy sets generated by soft sets. The concept of equivalence set is defined and rough sets are recharacterized with the help of this concept. Then, similarity measure is defined on rough sets and its applied to modeling on how to distribute search and rescue teams in case of an earthquake with the similarity measure. The mathematical modeling of the concept of fitting is obtained with the help of fuzzy sets and its application is made. Finally, the concept of fitting is expanded to fuzzy soft sets.
Author
Savcı Rahman Argün
How to Cite
Savcı Rahman Argün (Doctorate thesis). Hybrid structures of soft and rough sets and applications, 2025, Kırşehir Ahi Evran University.
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