| Title:
|
Alternative model of fuzzy NTU coalitional game (English) |
| Author:
|
Mareš, Milan |
| Author:
|
Vlach, Milan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
39 |
| Issue:
|
3 |
| Year:
|
2003 |
| Pages:
|
[265]-274 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
One of the possible models of fuzzification of non-transferable utility (NTU) coalitional games was extensively treated in [4]. In this paper, we suggest an alternative structure of fuzzification of the NTU games, where for every coalition a fuzzy class of (generally crisp) sets of its admissible pay-off vectors is considered. It is shown that this model of a fuzzy coalitional game can be represented by a fuzzy class of deterministic NTU games, and its basic concepts like the superadditivity or the core can be transparently introduced by means of that class of games. (English) |
| Keyword:
|
coalitional games |
| Keyword:
|
non-transferable utility |
| Keyword:
|
fuzzy quantity |
| Keyword:
|
fuzzy cooperative game |
| Keyword:
|
core of a game |
| Keyword:
|
superadditivity |
| MSC:
|
03E72 |
| MSC:
|
91A12 |
| idZBL:
|
Zbl 1249.91009 |
| idMR:
|
MR1995729 |
| . |
| Date available:
|
2009-09-24T19:53:24Z |
| Last updated:
|
2015-03-23 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135527 |
| . |
| Reference:
|
[1] Luce R. D., Raiffa H.: Games and Decisions.Wiley, London – New York 1957 Zbl 1233.91002, MR 0087572 |
| Reference:
|
[2] Mareš M.: General coalition games.Kybernetika 14 (1978), 4, 245–260 MR 0514278 |
| Reference:
|
[3] Mareš M.: Superadditivity in general fuzzy coalition games.Kybernetika 36 (2000), 3, 265–277 MR 1773504 |
| Reference:
|
[4] Mareš M.: Fuzzy Cooperative Games.Cooperation with Vague Expectations. Physica–Verlag, Heidelberg 2002 Zbl 1037.91007, MR 1841340 |
| Reference:
|
[5] Mareš M., Vlach M.: Concept of linear coalition game.Tatra Mountains Math. Publications (to appear) |
| Reference:
|
[6] Mareš M., Vlach M.: Linear coalitional games and their fuzzy extensions.Internat. J. Uncertainty, Fuzziness and Knowledge-Based Systems (to appear) Zbl 1113.91303, MR 1843262 |
| Reference:
|
[7] Rosenmüller J.: The Theory of Games and Markets.North–Holland, Amsterdam 1982 Zbl 0464.90089 |
| . |
