Power allocation rules under fuzzy behavior and multicriteria situations

In this paper, we adopt supreme-utilities among fuzzy level (decision) vectors to propose a power allocation rule, its efficient extension and normalization in the framework of multicriteria fuzzy transferable-utility (TU) games. We also provide several axiomatic results to present the rationality for these rules. Based on different viewpoints, we introduce different formulations and dynamic results for the efficient extension and the normalization by applying the reduced game and the excess function respectively.

Keywords:

Multicriteria fuzzy TU game , supreme-utility , reduced game , excess function , dynamic result