Affiliations: [a]
Department of Mathematics, Ankara University, Faculty of Science, Tandoğan, Ankara, Turkey
| [b] Departmant of Industrial Engineering, Karadeniz Technical University, Faculty of Engineering, Trabzon, Turkey
Correspondence:
[*]
Corresponding author. Mehmet Ünver, Ankara University, Faculty of Science, Department of Mathematics, Tandoğan, Ankara, Turkey. E-mail: munver@ankara.edu.tr.
Abstract: The main goal of the present paper is to study the general structure and theoretical properties of a particular type of a fuzzy measure that can be used to model multi criteria decision making problems in which there exist some sub criteria. After constructing the general form of the non-additive set function, we deal with the interaction coefficient, Möbius representation and dual measure related to proposed measure. Finally, we are concerned with the usage of this type of fuzzy measures in multi criteria decision making problems in which at least one of the criteria contains some sub-criteria.
