Cooperative fuzzy games extended from ordinary cooperative games with restrictions on coalitions
Atsushi Moritani; Tetsuzo Tanino; Keiji Tatsumi
Kybernetika (2006)
- Volume: 42, Issue: 4, page 461-473
- ISSN: 0023-5954
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topMoritani, Atsushi, Tanino, Tetsuzo, and Tatsumi, Keiji. "Cooperative fuzzy games extended from ordinary cooperative games with restrictions on coalitions." Kybernetika 42.4 (2006): 461-473. <http://eudml.org/doc/33818>.
@article{Moritani2006,
abstract = {Cooperative games are very useful in considering profit allocation among multiple decision makers who cooperate with each other. In order to deal with cooperative games in practical situations, however, we have to deal with two additional factors. One is some restrictions on coalitions. This first factor has been taken into consideration through feasibility of coalitions. The other is partial cooperation of players. In order to describe this second factor, we consider fuzzy coalitions which permit partial participation in a coalition to a player. In this paper we take both of these factors into account in cooperative games. Namely, we analyze and discuss cooperative fuzzy games extended from ordinary cooperative games with restrictions on coalitions in two approaches. For the purpose of comparison of these two approaches, we define two special classes of extensions called $U$-extensions which satisfy linearity and $W$-extensions which satisfy $U$-extensions and two additional conditions, restriction invariance and monotonicity. Finally, we show sufficient conditions under which these obtained games in two approaches coincide.},
author = {Moritani, Atsushi, Tanino, Tetsuzo, Tatsumi, Keiji},
journal = {Kybernetika},
keywords = {cooperative games; cooperative fuzzy games; restricted games; coalitions; cooperative games; cooperative fuzzy games; restricted games; coalitions},
language = {eng},
number = {4},
pages = {461-473},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Cooperative fuzzy games extended from ordinary cooperative games with restrictions on coalitions},
url = {http://eudml.org/doc/33818},
volume = {42},
year = {2006},
}
TY - JOUR
AU - Moritani, Atsushi
AU - Tanino, Tetsuzo
AU - Tatsumi, Keiji
TI - Cooperative fuzzy games extended from ordinary cooperative games with restrictions on coalitions
JO - Kybernetika
PY - 2006
PB - Institute of Information Theory and Automation AS CR
VL - 42
IS - 4
SP - 461
EP - 473
AB - Cooperative games are very useful in considering profit allocation among multiple decision makers who cooperate with each other. In order to deal with cooperative games in practical situations, however, we have to deal with two additional factors. One is some restrictions on coalitions. This first factor has been taken into consideration through feasibility of coalitions. The other is partial cooperation of players. In order to describe this second factor, we consider fuzzy coalitions which permit partial participation in a coalition to a player. In this paper we take both of these factors into account in cooperative games. Namely, we analyze and discuss cooperative fuzzy games extended from ordinary cooperative games with restrictions on coalitions in two approaches. For the purpose of comparison of these two approaches, we define two special classes of extensions called $U$-extensions which satisfy linearity and $W$-extensions which satisfy $U$-extensions and two additional conditions, restriction invariance and monotonicity. Finally, we show sufficient conditions under which these obtained games in two approaches coincide.
LA - eng
KW - cooperative games; cooperative fuzzy games; restricted games; coalitions; cooperative games; cooperative fuzzy games; restricted games; coalitions
UR - http://eudml.org/doc/33818
ER -
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