Cooperative interval games: Mountain situations with interval data
نویسندگان
چکیده
منابع مشابه
Cooperative interval games: a survey
Natural questions for people or businesses that face interval uncertainty in their data when dealing with cooperation are: Which coalitions should form? How to distribute the collective gains or costs? The theory of cooperative interval games is a suitable tool for answering these questions. This survey aims to briefly present the state-of-theart in this booming field of research and its applic...
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Interval uncertainty affects our decision making activities on a daily basis making the data structure of intervals of real numbers more and more popular in theoretical models and related software applications. To model economic and OR situations with interval data as cooperative interval games is often an easy task. To handle cooperative interval games various solution concepts of selection-ty...
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Cooperative interval games are a generalized model of cooperative games in which the worth of every coalition corresponds to a closed interval representing the possible outcomes of its cooperation. Selections are all possible outcomes of the interval game with no additional uncertainty. We introduce new selection-based classes of interval games and prove their characterization theorems and rela...
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In 2011, Mallozzi et al. [Fuzzy Sets and Systems 165(2011) 98105] introduced a core-like concept (called F-core) and a balanced-like condition for games in which the worth of any coalition is given by means of a fuzzy interval. They proved that a balanced-like condition is necessary but not sufficient enough to guarantee the F-core to be non-empty. In this paper, we study deeply on this problem...
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Let I1 and I2 be intervals of real numbers. An interval game is played in this way: player 1 secretly selects x ∈ I1 and player 2 secretly and independently selects y ∈ I2. After x and y are revealed, payoffs are given by some predetermined function with domain I1 × I2. The payoff function for a zero sum interval game is a function A : I1 × I2 → R. This is interpreted to mean that the second pl...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2014
ISSN: 0377-0427
DOI: 10.1016/j.cam.2013.01.021