Abstract
<p style='text-indent:20px;'>By considering the supreme-utilities and the weights simultaneously under fuzzy behavior, we propose two indexes on fuzzy transferable-utility games. In order to present the rationality for these two indexes, we define extended reductions to offer several axiomatic results and dynamics processes. Based on different consideration, we also adopt excess functions to propose alternative formulations and related dynamic processes for these two indexes respectively.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Control and Optimization,Algebra and Number Theory,Applied Mathematics,Control and Optimization,Algebra and Number Theory
Reference23 articles.
1. J. P. Aubin.Coeur et valeur des jeux flous á paiements latéraux, Comptes Rendus de l'Académie des Sciences, 279 (1974), 891-894.
2. J. P. Aubin.Cooperative fuzzy games, Mathematics of Operations Research, 6 (1981), 1-13.
3. J. F. Banzhaf.Weighted voting doesn't work: a mathematical analysis, Rutgers Law Rev., 19 (1965), 317-343.
4. S. Borkotokey, R. Neog.Dynamic resource allocation in fuzzy coalitions: a game theoretic model, Fuzzy Optimization and Decision Making, 13 (2014), 211-230.
5. R. Branzei, D. Dimitrov, S. Tijs.Egalitarianism in convex fuzzy games, Mathematical Social Sciences, 47 (2004), 313-325.