A fuzzy measure theoretical approach for multi criteria decision making problems containing sub-criteria

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 se...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2018-01, Vol.35 (6), p.6461-6468
Main Authors: Ünver, Mehmet, Özçelik, Gökhan, Olgun, Murat
Format: Article
Language:English
Subjects:
Criteria
Decision making
Decision theory
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Summary: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.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-18396