Author/Authors :
UNVER, MEHMET Ankara University - Faculty of Science - Department of Mathematics - Ankara, Turkey , OZCELIK, GOKHAN Karadeniz Technical University - Faculty of Engineering - Departmant of Industrial Engineering - Trabzon, Turkey , OLGUN, MURAT Ankara University - Faculty of Science - Department of Mathematics - Ankara, Turkey
Abstract :
In this paper a particular set function which depends on densities of singletons with interdependence coefficients and which provides redundancy among singletons
is considered. The M¨obius representation of this function is obtained. Then a necessary
and sufficient condition is presented to attain a fuzzy measure from this set function.
Keywords :
Fuzzy measure , multicriteria desicion making , pre-subadditive set function , Mobius representation