nach oben

Fuzzy Optimization and Decision Making

Erschienen in:

15.09.2018

Cores and dominance cores of cooperative games endowed with fuzzy payoffs

verfasst von: Hsien-Chung Wu

Erschienen in: Fuzzy Optimization and Decision Making | Ausgabe 2/2019

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

This paper studies the cores and dominance cores of cooperative games endowed with fuzzy payoffs. When the payoffs of coalitions are imprecise, the fuzzy numbers can be used to model the fuzzy payoffs. Various concepts of cores and dominance cores are proposed based on different ordering schemes of fuzzy numbers. The inclusion and equality relations of cores and dominance cores are established for better understanding of fuzzy games. Similar relations of pre-cores and dominance pre-cores are also examined.

Vorheriger Artikel European option pricing model based on uncertain fractional differential equation

Nächster Artikel Note on “A new equivalent transformation for interval inequality constraints of interval linear programming”

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Aubin, J.-P. (1981a). Locally Lipschitz cooperative games. Journal of Mathematical Economics, 8, 241–262.MathSciNetCrossRefMATH

Aubin, J.-P. (1981b). Cooperative fuzzy games. Mathematics of Operations Research, 6, 1–13.MathSciNetCrossRefMATH

Azrieli, Y., & Lehrer, E. (2007). On some families of cooperative fuzzy games. International Journal of Game Theory, 36, 1–15.MathSciNetCrossRefMATH

Bector, C. R., Chandra, S., & Vijay, V. (2004). Matrix games with fuzzy goals and fuzzy linear programming duality. Fuzzy Optimization and Decision Making, 3, 255–269.MathSciNetCrossRefMATH

Butnariu, D. (1978). Fuzzy game: A description of concept. Fuzzy Sets and Systems, 1, 181–192.MathSciNetCrossRefMATH

Butnariu, D. (1987). Values and cores of fuzzy games with infinitely many players. International Journal of Game Theory, 16, 43–68.MathSciNetCrossRefMATH

Butnariu, D., & Kroupa, T. (2008). Shapley mappings and the cumulative value for \(n\)-person games with fuzzy coalitions. European Journal of Operational Research, 186, 288–299.MathSciNetCrossRefMATH

Clemente, M., Fernandez, F. R., & Puerto, J. (2011). Pareto-optimal security strategies in matrix games with fuzzy payoffs. Fuzzy Sets and Systems, 176, 36–45.MathSciNetCrossRefMATH

Gallardo, J. M., Jimenez, N., Jimenez-Losada, A., & Lebron, E. (2015). Games with fuzzy authorization structure: A Shapley value. Fuzzy Sets and Systems, 272, 115–125.MathSciNetCrossRefMATH

Guiasu, S. (2000). Coping with uncertainty in \(n\)-person games. International Journal of Uncertaint, Fuzziness and Knowledge-Based Systems, 8, 503–523.MathSciNetCrossRefMATH

Hwang, Y.-A., & Liao, Y.-H. (2008). Max-consistency, complement-consistency and the core of fuzzy games. Fuzzy Sets and Systems, 159, 152–163.MathSciNetCrossRefMATH

Li, S., & Zhang, Q. (2009). A simplified expression of the Shapley function for fuzzy game. European Journal of Operational Research, 196, 234–245.MathSciNetCrossRefMATH

Mareš, M. (2000). Fuzzy coalition structures. Fuzzy Sets and Systems, 114, 23–33.CrossRefMATH

Mareš, M., & Vlach, M. (2001). Linear coalitional games and their fuzzy extensions. International Journal of Uncertaint, Fuzziness and Knowledge-Based Systems, 9, 341–354.MathSciNetCrossRefMATH

Sagara, N. (2013). A probabilistic characterization of exact games on \(\Sigma \)-algebras. Fuzzy Sets and Systems, 216, 34–51.MathSciNetCrossRefMATH

Sagara, N. (2015). Cores and Weber sets for fuzzy extensions of cooperative games. Fuzzy Sets and Systems, 272, 102–114.MathSciNetCrossRefMATH

Tijs, S. H., Branzei, M. R., Ishihara, S., & Muto, S. (2004). On cores and stable sets for fuzzy games. Fuzzy Sets and Systems, 146, 285–296.MathSciNetCrossRefMATH

Tsurumi, M., Tanino, T., & Inuiguchi, M. (2001). A Shapley function on a class of cooperative fuzzy games. European Journal of Operational Research, 129, 596–618.MathSciNetCrossRefMATH

Vidyottama, V., Chandra, S., & Bector, C. R. (2004). Bi-matrix games with fuzzy goals and fuzzy pay-offs. Fuzzy Optimization and Decision Making, 3, 327–344.MathSciNetCrossRefMATH

Vijay, V., Mehra, A., Chandra, S., & Bector, C. R. (2007). Fuzzy matrix games via a fuzzy relation approach. Fuzzy Optimization and Decision Making, 6, 299–314.MathSciNetCrossRefMATH

Wu, H.-C. (2012a). Proper cores and dominance cores of fuzzy games. Fuzzy Optimization and Decision Making, 11, 47–72.MathSciNetCrossRefMATH

Wu, H.-C. (2012b). Cores of fuzzy games and their convexity. Fuzzy Sets and Systems, 198, 59–69.MathSciNetCrossRefMATH

Wu, H.-C. (2015). Unifying the proper cores and dominance cores of cooperative fuzzy games. Fuzzy Optimization and Decision Making, 14, 243–263.MathSciNetCrossRefMATH

Yang, W., Liu, J., & Liu, X. (2011). (E-articles) Aubin cores and bargaining sets for convex cooperative fuzzy games. International Journal of Game Theory, 40, 467–479.MathSciNetCrossRefMATH

Yu, X., & Zhang, Q. (2010). An extension of cooperative fuzzy games. Fuzzy Sets and Systems, 161, 1614–1634.MathSciNetCrossRefMATH

Titel: Cores and dominance cores of cooperative games endowed with fuzzy payoffs
verfasst von: Hsien-Chung Wu
Publikationsdatum: 15.09.2018
Verlag: Springer US
Erschienen in: Fuzzy Optimization and Decision Making / Ausgabe 2/2019
Print ISSN: 1568-4539
Elektronische ISSN: 1573-2908
DOI: https://doi.org/10.1007/s10700-018-9294-3

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Springer Professional "Technik"

Weitere Artikel der Ausgabe 2/2019

An improved fuzzy time series forecasting model using variations of data

Schedule optimization under fuzzy constraints of vehicle capacity

European option pricing model based on uncertain fractional differential equation

Note on “A new equivalent transformation for interval inequality constraints of interval linear programming”

Fuzzy eigenvector method for deriving normalized fuzzy priorities from fuzzy multiplicative pairwise comparison matrices