毕节学院学报：综合版
畢節學院學報：綜閤版
필절학원학보：종합판
Journal of Bijie University
2011年
8期
69-75
,共7页
模糊合作对策%模糊联盟%模糊核心%Banzhaf指标
模糊閤作對策%模糊聯盟%模糊覈心%Banzhaf指標
모호합작대책%모호련맹%모호핵심%Banzhaf지표
Cooperative Fuzzy Game%Fuzzy Coalition%Fuzzy Core%Banzhaf Index
定义了一类新的模糊合作对策——“基于局中人权重”的模糊合作对策，研究了此类模糊合作对策的连续性和单调性。当局中人的权重用Banzhaf指标来衡量时，讨论了此类模糊合作对策的零元和模糊支集等，同时探讨了严格单调性、有效性、对称性和等价性。通过本文的讨论我们可以发现，这些性质与经典情形具有一致性。最后通过一个算例来说明这种指标的具体应用。
定義瞭一類新的模糊閤作對策——“基于跼中人權重”的模糊閤作對策，研究瞭此類模糊閤作對策的連續性和單調性。噹跼中人的權重用Banzhaf指標來衡量時，討論瞭此類模糊閤作對策的零元和模糊支集等，同時探討瞭嚴格單調性、有效性、對稱性和等價性。通過本文的討論我們可以髮現，這些性質與經典情形具有一緻性。最後通過一箇算例來說明這種指標的具體應用。
정의료일류신적모호합작대책——“기우국중인권중”적모호합작대책，연구료차류모호합작대책적련속성화단조성。당국중인적권중용Banzhaf지표래형량시，토론료차류모호합작대책적령원화모호지집등，동시탐토료엄격단조성、유효성、대칭성화등개성。통과본문적토론아문가이발현，저사성질여경전정형구유일치성。최후통과일개산례래설명저충지표적구체응용。
In this paper, we define a new type of cooperative fuzzy games which is based on the players＇ weights, we discuss the continuous and monotone of this type of games. When the weights of the players are expressed by Banzhaf index, we study this type of cooperative games＇ null player and fuzzy carrier etc., at the same time, we discuss the strict monotonity, efficiency, sysmmetry and equivalence of the so-called Banzhaf index in this type games, from the text, we will find these properties coincide with the classical ease. Finally, we illustrate the application of this index by an example.
