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2001
It is evident that the vagueness of coalitional pay-offs implies also the vagueness of such concept like the vector of Shapley values. Its formal reformulation into the language of fuzzy coalition game theory appears to be obvious and purely mechanical. Anyhow, it is worth some closer attention.
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It is evident that the vagueness of coalitional pay-offs implies also the vagueness of such concept like the vector of Shapley values. Its formal reformulation into the language of fuzzy coalition game theory appears to be obvious and purely mechanical. Anyhow, it is worth some closer attention.
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P-Shapley: Shapley Values on Probabilistic Classifiers
Proceedings of the VLDB EndowmentThe Shapley value provides a unique approach to equitably gauge each player's contribution within a coalition and has extensive applications with various utility functions. In data valuation for machine learning, particularly for classification tasks, using classification accuracy as the utility function has become a de facto standard.
Haocheng Xia +5 more
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2012
In fuzzy Multi-criteria decision-making problems, the ranking of alternatives must take into account their fuzzy scores in all criteria, the weights assigned to each decision criterion, the possible difficulties of comparing two alternatives when one is significantly better than the other on a subset of criteria, but much worse on at least one ...
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In fuzzy Multi-criteria decision-making problems, the ranking of alternatives must take into account their fuzzy scores in all criteria, the weights assigned to each decision criterion, the possible difficulties of comparing two alternatives when one is significantly better than the other on a subset of criteria, but much worse on at least one ...
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1988
Composed in honour of the sixty-fifth birthday of Lloyd Shapley, this volume makes accessible the large body of work that has grown out of Shapley's seminal 1953 paper. Each of the twenty essays concerns some aspect of the Shapley value. Three of the chapters are reprints of the 'ancestral' papers: Chapter 2 is Shapley's original 1953 paper defining ...
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Composed in honour of the sixty-fifth birthday of Lloyd Shapley, this volume makes accessible the large body of work that has grown out of Shapley's seminal 1953 paper. Each of the twenty essays concerns some aspect of the Shapley value. Three of the chapters are reprints of the 'ancestral' papers: Chapter 2 is Shapley's original 1953 paper defining ...
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2019
This chapter reviews some results from the literature in which power indices related to the Shapley value are developed. First, a class of power indices for so-called effectivity functions is axiomatically characterized, based on [1]. An effectivity function describes for each coalition of players each set of alternatives such that the coalition can ...
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This chapter reviews some results from the literature in which power indices related to the Shapley value are developed. First, a class of power indices for so-called effectivity functions is axiomatically characterized, based on [1]. An effectivity function describes for each coalition of players each set of alternatives such that the coalition can ...
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Environment, Development and Sustainability, 2021
A. Goli, Hatam Mohammadi
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A. Goli, Hatam Mohammadi
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