A PRE-SUBADDITIVE FUZZY MEASURE MODEL AND ITS THEORETICAL INTERPRETATION

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.

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