International Journal of Supply and Operations Management، جلد ۱، شماره ۱، صفحات ۶۹-۸۰

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عنوان انگلیسی Alternative Axiomatic Characterizations of the Grey Shapley Value
چکیده انگلیسی مقاله The Shapley value, one of the most common solution concepts of cooperative game theory is defined and axiomatically characterized in different game-theoretic models. Certainly, the Shapley value can be used in interesting sharing cost/reward problems in the Operations Research area such as connection, routing, scheduling, production and inventory situations. In this paper, we focus on the Shapley value for cooperative games, where the set of players is finite and the coalition values are interval grey numbers. The central question in this paper is how to characterize the grey Shapley value. In this context, we present two alternative axiomatic characterizations. First, we characterize the grey Shapley value using the properties of efficiency, symmetry and strong monotonicity. Second, we characterize the grey Shapley value by using the grey dividends.
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نویسندگان مقاله | sirma zeynep alparslan gok
süleyman demirel university, faculty of arts and sciences, department of mathematics, 32260 isparta, turkey


| osman palanci
süleyman demirel university, faculty of arts and sciences, department of mathematics, 32260 isparta, turkey


| mehmet onur olgun
süleyman demirel university, faculty of arts and sciences, department of mathematics, 32260 isparta, turkey



نشانی اینترنتی http://system.khu.ac.ir/ijsom/browse.php?a_code=A-10-100-16&slc_lang=en&sid=en
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زبان مقاله منتشر شده en
موضوعات مقاله منتشر شده Artificial intelligence & expert system
نوع مقاله منتشر شده Research paper
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