A PRE-SUBADDITIVE FUZZY MEASURE MODEL AND ITS THEORETICAL INTERPRETATION

M. Unver, G. Ozcelik, M. Olgun

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Abstract

In this paper a particular set function which depends on densities of singletons with interdependence coecients and which provides redundancy among singletons is considered. The Mobius representation of this function is obtained. Then a necessary and sucient condition is presented to attain a fuzzy measure from this set function.

Keywords

Fuzzy measure, multicriteria desicion making, pre-subadditive set function, Mobius representation.