| Автор | Aoi Honda |
| Автор | Yoshiaki Okazaki |
| Дата выпуска | 2010-12-01 |
| dc.description | We propose a definition for the entropy of a monotone set function defined on a lattice which are not necessarily the whole power set, but satisfy the condition of regularity. Our definition encompasses the classical definition of Shannon for probability measures, as well as the definition of Marichal for classical fuzzy measures and may have applicability to most fuzzy measures which appear in applications. We give also an axiomatization of this entropy. This axiomatization is in the spirit of Faddeev's axiomatization for the classical Shannon entropy. After that, using same idea we introduce a generalization of the Shapley value for a set function defined on a lattice and give two types of necessary and sufficient conditions. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | © 2010 IOP Publishing Ltd |
| Название | Characterization for entropy and solution of set function on lattice |
| Тип | paper |
| DOI | 10.1088/1742-6596/201/1/012014 |
| Electronic ISSN | 1742-6596 |
| Print ISSN | 1742-6588 |
| Журнал | Journal of Physics: Conference Series |
| Том | 201 |
| Первая страница | 12014 |
| Последняя страница | 12023 |
| Аффилиация | Aoi Honda; Kyushu Institute of Technology, 680-4 Kawazu, Iizuka City, Fukuoka 820-8502, JAPAN |
| Аффилиация | Yoshiaki Okazaki; Kyushu Institute of Technology, 680-4 Kawazu, Iizuka City, Fukuoka 820-8502, JAPAN |
| Выпуск | 1 |
