The G-nucleolus for fuzzy cooperative games

نویسندگان

  • Jian Lin
  • Qiang Zhang
چکیده

In this paper we deal with the problem of extending the concept of nucleolus on fuzzy cooperative games. Described a newly invented definition of nucleolus for fuzzy cooperative games. We prove that the newly defined nucleolus on the set of classical cooperative games coincides with the previously existing one. It is proved that for separate classes of fuzzy games the nucleolus exists and unique. The process of finding the nucleolus illustrated on an example of a concrete type of fuzzy games.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A TRANSITION FROM TWO-PERSON ZERO-SUM GAMES TO COOPERATIVE GAMES WITH FUZZY PAYOFFS

In this paper, we deal with games with fuzzy payoffs. We proved that players who are playing a zero-sum game with fuzzy payoffs against Nature are able to increase their joint payoff, and hence their individual payoffs by cooperating. It is shown that, a cooperative game with the fuzzy characteristic function can be constructed via the optimal game values of the zero-sum games with fuzzy payoff...

متن کامل

On the 1-Nucleolus for Classes of Cooperative Games

This paper analyzes the 1-nucleolus and, in particular, its relation to the nucleolus and compromise value. It is seen that the 1-nucleolus of a cooperative game can be characterized using a combination of standard bankruptcy rules for associated bankruptcy problems. In particular, for any zero-normalized balanced game, the 1-nucleolus coincides with the Aumann-Maschler rule (Aumann and Maschle...

متن کامل

Ranking Efficient Decision Making Units Using Cooperative Game Theory Based on SBM Input-Oriented Model and Nucleolus Value

In evaluating the efficiency of decision making units (DMUs) by Data Envelopment Analysis (DEA) models, may be more than one DMU has an efficiency score equal to one. Since ranking of efficient DMUs is essential for decision makers, therefore, methods and models for this purpose are presented. One of ranking methods of efficient DMUs is cooperative game theory. In this study, Lee and Lozano mod...

متن کامل

Computing the Nucleolus of Matching, Cover and Clique Games

In cooperative games, a key question is to find a division of payoffs to coalition members in a fair manner. Nucleolus is one of such solution concepts that provides a stable solution for the grand coalition. We study the computation of the nucleolus of a number of cooperative games, including fractional matching games and fractional edge cover games on general weighted graphs, as well as verte...

متن کامل

Stability and Arbitration in Cooperative Games with Overlapping Coalitions

1.1 Classic Cooperative TU Games In classic cooperative games with transferable utility [4] (TU games), there is a set of agents N = {1, . . . , n}, where each subset S of N has some value v(S). The goal of the agents is to first form a coalition structure by partitioning N into disjoint sets; second, the value of each set in the partition is divided among its members. The payoff division x = (...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Journal of Intelligent and Fuzzy Systems

دوره 26  شماره 

صفحات  -

تاریخ انتشار 2014