Name
Abstract | ||
|---|---|---|
This paper introduces a measure defined in the context of rough sets. Rough set theory provides a variety of set functions that can be studied relative to various measure spaces. In particular, the rough membership function is considered. The particular rough membership function given in this paper is a non-negative set function that is additive. It is an example of a rough measure. The idea of a rough integral is revisited in the context of the discrete Choquet integral that is defined relative to a rough measure. This rough integral computes a form of ordered, weighted "average" of the values of a measurable function. Rough integrals are useful in culling from a collection of active sensors those sensors with the greatest relevance in a problem-solving effort such as classification of a "perceived" phenomenon in the environment of an agent. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1007/3-540-45548-5_49 | JSAI Workshops |
Keywords | Field | DocType |
particular rough membership,rough integral compute,non-negative set function,rough set theory,rough membership function,rough measures,set function,rough set,rough integral,brief introduction,measurable function,rough measure,choquet integral,membership function | Set function,Discrete mathematics,Set theory,Measurable function,Rough set,Choquet integral,Phenomenon,Membership function,Dominance-based rough set approach,Mathematics | Conference |
ISBN | Citations | PageRank |
3-540-43070-9 | 5 | 0.60 |
References | Authors | |
4 | 6 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zdzislaw Pawlak | 1 | 3347 | 393.02 |
| James F. Peters | 2 | 1825 | 184.11 |
| Andrzej Skowron | 3 | 5062 | 421.31 |
| Zbigniew Suraj | 4 | 501 | 59.96 |
| S. Ramanna | 5 | 92 | 18.42 |
| Maciej Borkowski | 6 | 69 | 10.29 |