K-order Additive Discrete Fuzzy Measures and Their Representation

@article{Grabisch1997KorderAD,
  title={K-order Additive Discrete Fuzzy Measures and Their Representation},
  author={Michel Grabisch},
  journal={Fuzzy Sets and Systems},
  year={1997},
  volume={92},
  pages={167-189}
}
In order to face with the complexity of discrete fuzzy measures, we propose the concept of k-order additive fuzzy measure, including usual additive measures and fuzzy measures. Every discrete fuzzy measure is a k-order additive fuzzy measure for a unique k. A related topic of the paper is to introduce an alternative representation of fuzzy measures, called… CONTINUE READING