nach oben

Fuzzy Optimization and Decision Making

Erschienen in:

20.03.2015

Indefinite integrals of generalized intuitionistic multiplicative functions

verfasst von: Shan Yu, Zeshui Xu, Jiuping Xu, Haifeng Liu

Erschienen in: Fuzzy Optimization and Decision Making | Ausgabe 4/2015

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

By using the unsymmetrical scale and the non-discrete values, the generalized intuitionistic multiplicative sets (GIMSs) can reflect our intuition more objectively. The GIMFs, which are defined on the basis of GIMSs, play a very important part in the entire process of the development of the calculus theory for GIMSs. After the discussion of some basic results related to the continuities, derivatives and differentials of GIMFs, in this paper, two kinds of indefinite integrals are proposed and some fundamental properties are investigated.

Vorheriger Artikel Likelihood-based assignment methods for multiple criteria decision analysis based on interval-valued intuitionistic fuzzy sets

Nächster Artikel Multi-dimensional uncertain differential equation: existence and uniqueness of solution

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

Atanassov, K. (1986). Intuitionistic fuzzy set. Fuzzy Sets and Systems, 20, 87–96.MathSciNetCrossRefMATH

Atanassov, K. (1999). Intuitionistic fuzzy sets: Theory and applications. Heidelberg, Germany: Physica-Verlag.CrossRefMATH

Atanassov, K. (2012). On intuitionistic fuzzy sets theory. Berlin, Heidelberg: Springer.CrossRefMATH

Ban, A. I., & Fechete, I. (2007). Componentwise decomposition of some lattice-valued fuzzy integrals. Information Science, 177, 1430–1440.MathSciNetCrossRefMATH

Bustince, H., Herrera, F., & Montero, J. (2008). Fuzzy sets and their extensions: Representation, aggregation and models. Berlin: Springer.CrossRef

Cui, L. C., Li, Y. M., & Zhang, X. H. (2009). Intuitionistic fuzzy linguistic quantifiers based on intuitionistic fuzzy-valued fuzzy measures and integrals. International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 17, 427–448.MathSciNetCrossRefMATH

Ha, M. H., & Yang, L. Z. (2009). Intuitionistic fuzzy Riemann integral. In The 21st Annual International Conference on Chinese Control and Decision Conference (pp. 3826–3830). Guilin.

Herrera, F., Herrera-Viedma, E., & Martinez, L. (2008). A fuzzy linguistic methodology to deal with unbalanced linguistic term sets. IEEE Transactions on Fuzzy Systems, 16, 354–370.CrossRef

Jiang, Y., Xu, Z. S., & Yu, X. H. (2013). Compatibility measures and consensus models for group decision making with intuitionistic multiplicative preference relations. Applied Soft Computing, 13, 2075–2086.CrossRef

Saaty, T. L. (1980). The analytic hierarchy process. New York: McGraw-Hill.MATH

Tan, C. Q., & Chen, X. H. (2010). Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making. Expert Systems with Applications, 37, 149–157.CrossRef

Torra, V. (2001). Aggregation of linguistic labels when semantics is based on antonyms. International Journal of Intelligent Systems, 16, 513–524.CrossRefMATH

Xia, M. M., Xu, Z. S., & Liao, H. C. (2013). Preference relations based on intuitionistic multiplicative information. IEEE Transactions on Fuzzy Systems, 21, 113–133.CrossRef

Xia, M. M., & Xu, Z. S. (2013). Group decision making based on intuitionistic multiplicative aggregation operator. Applied Mathematical Modelling, 37, 5120–5133.MathSciNetCrossRef

Xu, Z. S., & Yager, R. R. (2006). Some geometric aggregation operators based on intuitionistic fuzzy sets. International Journal of General Systems, 35, 417–433.MathSciNetCrossRefMATH

Xu, Z. S. (2007). Intuitionistic fuzzy aggregation operators. IEEE Transactions on Fuzzy Systems, 15, 1179–1187.CrossRef

Xu, Z. S., & Cai, X. Q. (2010). Recent advances in intuitionistic fuzzy information aggregation. Fuzzy Optimization and Decision Making, 9, 359–381.MathSciNetCrossRefMATH

Xu, Z. S., & Cai, X. Q. (2012). Intuitionistic fuzzy information aggregation: Theory and applications. Beijing, Berlin, Heidelberg: Science Press, Springer.CrossRef

Xu, Z. S. (2013). Priority weight intervals derived from intuitionistic multiplicative preference relations. IEEE Transactions on Fuzzy Systems, 21, 642–654.CrossRef

Yager, R. R., & Kacprzyk, J. (1997). The ordered weighted averaging operators: Theory and applications. Norwell, MA: Kluwer.CrossRef

Yu, S., Xu, Z. S., & Liu, S. S. (2014). Derivatives and differentials for generalized intuitionistic multiplicative functions. Technical Report, 2014.

Yu, D. J., Merigó, J. M., & Zhou, L. G. (2013). Interval-valued multiplicative intuitionistic fuzzy preference relations. International Journal of Fuzzy Systems, 15, 412–422.MathSciNet

Yu, S., & Xu, Z. S. (2014). Aggregation and decision making using intuitionistic multiplicative triangular fuzzy information. Journal of Systems Science and Systems Engineering, 23, 20–38.CrossRefMATH

Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338–356.MathSciNetCrossRefMATH

Zhang, X. M., & Xu, Z. S. (2012). A new method for ranking intuitionistic fuzzy values and its application in multi-attribute decision making. Fuzzy Optimization and Decision Making, 12, 135–146.CrossRef

Titel: Indefinite integrals of generalized intuitionistic multiplicative functions
verfasst von: Shan Yu
Zeshui Xu
Jiuping Xu
Haifeng Liu
Publikationsdatum: 20.03.2015
Verlag: Springer US
Erschienen in: Fuzzy Optimization and Decision Making / Ausgabe 4/2015
Print ISSN: 1568-4539
Elektronische ISSN: 1573-2908
DOI: https://doi.org/10.1007/s10700-015-9209-5

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 4/2015

Multi-dimensional uncertain differential equation: existence and uniqueness of solution

Uncertain contour process and its application in stock model with floating interest rate

Solving implicit mathematical programs with fuzzy variational inequality constraints based on the method of centres with entropic regularization

Likelihood-based assignment methods for multiple criteria decision analysis based on interval-valued intuitionistic fuzzy sets

A portfolio optimization model based on information entropy and fuzzy time series

Premium Partner