Generating function representation of RIM quantifiers

Comparing the large number of research paper on OWA (ordered weighted averaging) operators, the research on relative quantifier are relatively rare so far. In the present paper, based on the quantifier guided aggregation method with OWA operator which was proposed by Yager, a generating function representation method for RIM (regular increasing monotone) quantifiers is proposed. We extend the properties of OWA operators to the RIM quantifiers. Some properties of the generating function and its orness measure are systematically analyzed.