Generalized deviation functions and construction of aggregation functions

摘要

We generalize the concept of moderate deviation functions D: [0, 1]~2 → R{top}- into (k + 1) - dimensional moderate deviation function D~((k)): [0, 1]~k × [0, 1] → R{top}- and propose a D~((k))-based method for constructing idempotent aggregation functions. More, to enable to introduce weights of groups of criteria (coordinates) into our construction method, the concept of normed (k + 1)-dimensional moderate deviation functions is proposed and exemplified.