nach oben

Fuzzy Optimization and Decision Making

Erschienen in:

05.02.2016

Blackwell type theorem for general T-related and identically distributed fuzzy variables

verfasst von: Dug Hun Hong

Erschienen in: Fuzzy Optimization and Decision Making | Ausgabe 4/2016

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

In this paper, we define a fuzzy variable \(N(t+c) \circleddash N(t)\) using \(\alpha -\)cut representation and consider a necessary and sufficient condition of the Blackwell type theorem based on the Hausdorff metric for general T-related and identically distributed fuzzy variables. We also take into consideration the derived fuzzy Blackwell’s Theorem based on the expected value of fuzzy variables.

Vorheriger Artikel Fuzzy preorders: conditional extensions, extensions and their representations

Nächster Artikel Bilevel linear programming with ambiguous objective function of the follower

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

Badard, R. (1982). The law of large numbers for fuzzy processes and the estimation problem. Information Science, 28, 161–178.MathSciNetCrossRefMATH

Diamond, P., & Kloeden, P. (1994). Metric space of fuzzy sets: Theory and applications. Singapore: World Scientific Publishing Co Pte. Ltd.CrossRefMATH

Fullér, R. (1992). A law of large numbers for fuzzy numbers. Fuzzy Sets and Systems, 45, 299–303.MathSciNetCrossRefMATH

Fullér, R., & Keresztfalvi, T. (1991). On generalization of Nguyen’s theorem. Fuzzy Sets and Systems, 41, 371–374.MathSciNetCrossRefMATH

Hong, D. H. (2006). Renewal process with T-related fuzzy inter-arrival times and fuzzy rewards. Information Sciences, 176, 2386–2395.MathSciNetCrossRefMATH

Hong, D. H. (2014). Blackwell’s theorem for fuzzy variables. Fuzzy Optimization and Decision Making, 13, 197–210.MathSciNetCrossRef

Hong, D. H. (2010). Blackwell’s theorem for T-related fuzzy variables. Information Sciences, 180, 1769–1777.MathSciNetCrossRefMATH

Hong, D. H. (2013a). Erratum to Blackwell’s theorem for T-related fuzzy variables. Information Sciences, 250, 227–228.MathSciNetCrossRefMATH

Hong, D. H. (2013b). The law of large numbers and renewal process for \(T\)-related weighted fuzzy numbers on \(R^p\). Information Sciences, 228, 45–60.MathSciNetCrossRefMATH

Hong, D. H. (2013c). Strong laws of large numbers for \(t\)-norm-based addition of fuzzy set-valued random variables. Fuzzy Sets and Systems, 223, 26–38.MathSciNetCrossRefMATH

Hwang, C.-M. (2000). A theorem of renewal process for fuzzy random variables and its application. Fuzzy Sets and Systems, 117, 237–244.MathSciNetCrossRefMATH

Liu, B. (2004). Uncertainty theory: An introduction to its axiomatic foundations. Berlin: Springer-Verlag.CrossRefMATH

Popova, E., & Wu, H. C. (1999). Renewal reward processes with fuzzy rewards and their applications to \(T\)-age replacement policies. European Journal of Operational Research, 117, 606–617.CrossRefMATH

Puri, M. L., & Ralescu, D. A. (1986). Fuzzy random variables. Journal of Mathematical Analysis and Applications, 114, 409–422.MathSciNetCrossRefMATH

Schweizer, B., & Sklar, A. (1963). Associative functions and abstract semigroups. Publicationes Mathematicae Debrecen, 10, 69–81.MathSciNetMATH

Triesch, E. (1993). Characterization of Archimedean \(t\)-norms and a law of large numbers. Fuzzy Sets and Systems, 58, 339–342.MathSciNetCrossRefMATH

Wang, S., & Liu, Y. (2015). Modeling renewal processes in fuzzy decision systems. Applied Mathematical Modeling, 39, 1536–1553.CrossRef

Zadeh, L. A. (1978). Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems, 6, 3–26.MathSciNetCrossRefMATH

Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338–353.MathSciNetCrossRefMATH

Zhao, R., & Liu, B. (2003). Renewal process with fuzzy inter-arrival times and rewards. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 11, 573–586.MathSciNetCrossRefMATH

Zhao, R., & Tang, W. (2006). Some properties of fuzzy random renewal process. IEEE Transactions on Fuzzy Systems, 14, 173–179.CrossRef

Zhao, R., Tang, W., & Yun, H. (2006). Random fuzzy renewal process. European Journal of Operational Research, 169, 189–201.MathSciNetCrossRefMATH

Zimmermann, H.-J. (1991). Fuzzy Set Theory-and Its Application (2nd ed.). Dordrecht: Kluwer.CrossRefMATH

Titel: Blackwell type theorem for general T-related and identically distributed fuzzy variables
verfasst von: Dug Hun Hong
Publikationsdatum: 05.02.2016
Verlag: Springer US
Erschienen in: Fuzzy Optimization and Decision Making / Ausgabe 4/2016
Print ISSN: 1568-4539
Elektronische ISSN: 1573-2908
DOI: https://doi.org/10.1007/s10700-016-9234-z

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 4/2016

Reliability analysis in uncertain random system

Parametric computation of a fuzzy set solution to a class of fuzzy linear fractional optimization problems

Intuitionistic fuzzy linear programming and duality: a level sets approach

Fuzzy preorders: conditional extensions, extensions and their representations

Bilevel linear programming with ambiguous objective function of the follower

Premium Partner