Q-measures: an efficient extension of the sugeno λ-measure
M.A. Mohamed, Weimin Xiao · IEEE Transactions on Fuzzy Systems · 2003
In this paper, we introduce a new class of fuzzy measures, referred to as q-measures, based on a modification of the definition of the well-known Sugeno /spl lambda/-measure. Our proposed definition of the q-measures not only includes the /spl lambda/-measure as a special case, but also preserves all desirable properties and avoids some of the limitations of the conventional /spl lambda/-measure. The q-measure approach provides a more flexible and powerful method for constructing various fuzzy measures. We provide an iterative algorithm for constructing an interesting sequence of q-measures and analytically prove its convergence as a distinguishing characteristic of the proposed formulation.