Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Soft Computing
Erschienen in: Soft Computing 7/2015

01.07.2015 | Methodologies and Application

Interval-valued intuitionistic fuzzy multi-criteria group decision making based on cross entropy and 2-additive measures

verfasst von: Fanyong Meng, Xiaohong Chen

Erschienen in: Soft Computing | Ausgabe 7/2015

Einloggen

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

search-config
loading …

Abstract

The purpose of this study is to develop an approach to interval-valued intuitionistic fuzzy multi-criteria group decision making with incomplete weight information and interactive conditions. Based on the given cross entropy of interval-valued intuitionistic fuzzy sets and the Shapley function with respect to 2-additive measures, models for the optimal fuzzy measures on an expert set and on an criteria set are established, respectively. If there are no interactive characteristics, then we get models for the optimal additive weight vectors. To get the comprehensive criteria values of the alternatives, two aggregation operators based on the Shapley function with respect to 2-additive measures are defined. Since the experts’ knowledge, skills and experiences are different, the weights of the experts are determined with respect to each criterion. Finally, a practical decision-making problem under interval-valued intuitionistic fuzzy environment is selected to illustrate the effectiveness of the proposed procedure.
Vorheriger Artikel Uncertain differential equation with jumps

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
Literatur
Bustince H, Herrera F, Montero J (2007) Fuzzy sets and their extensions: representation, aggregation, and models. Springer-Verlag, Heidelberg
Chen TY, Hsiao PW, Yen YL (2011) A multicriteria group decision-making approach based on interval-valued intuitionistic fuzzy sets: a comparative perspective. Expert Syst Appl 38(6):7647–7650CrossRef
De SK, Biswas R, Roy AR (2000) Some operations on intuitionistic fuzzy sets. Fuzzy Sets Syst 117(3):477–484MathSciNetCrossRef
Grabisch M (1996) The application of fuzzy integrals in multicriteria decision making. Eur J Oper Res 89(3):445–456MATHCrossRef
Hung WL, Yang MS (2008) On the J-divergence of intuitionistic fuzzy sets with its application to pattern recognition. Inform Sci 178(6):1641–1650MATHMathSciNetCrossRef
Kullback S, Leibler RA (1951) On information and sufficiency. Ann Math Stat 4:99–111MathSciNet
Keeney RL, Kirkwood CW (1975) Group decision making using cardinal social welfare functions. Manag Sci 22(4):430–437MathSciNetCrossRef
Kharal A (2009) Homeopathic drug selection using intuitionistic fuzzy sets. Homeopathy 98(1):35–39CrossRef
Li DF (2005) Multiattribute decision making models and methods using intuitionistic fuzzy sets. J Comput Syst Sci 70(1):73–85MATHCrossRef
Li DF, Wang YC, Liu S, Shan F (2009) Fractional programming methodology for multiattribute group decision making using IFS. Appl Soft Comput 9(1):219–225CrossRef
Li DF, Chen GH, Huang ZG (2010a) Linear programming method for multiattribute group decision making using IF sets. Inform Sci 180(9):1591–1609MATHMathSciNetCrossRef
Li DF (2010b) TOPSIS-based nonlinear-programming methodology for multiattribute decision making with interval-valued intuitionistic. IEEE T Fuzzy Syst 18(2):299–311
Li DF (2011a) Extension principles for interval-valued intuitionistic fuzzy sets and algebraic operations. Fuzzy Optim Decis Making 10(1):45–58MATHCrossRef
Li DF (2011b) Closeness coefficient based nonlinear programming method for interval-valued intuitionistic fuzzy multiattibute decision making with incomplete preference information. Appl Soft Comput 11(4):3402–3418CrossRef
Li DF (2011c) The GOWA operator based approach to multiattribute decision making using intuitionistic fuzzy sets. Math Comput Model 53(5–6):1182–1196MATHCrossRef
Lin L, Yuan XH, Xia ZQ (2007) Multicriteria fuzzy decision-making methods based on intuitionistic fuzzy sets. J Comput Syst Sci 73(1):84–88MATHMathSciNetCrossRef
Mitchell HB (2003) On the Dengfeng–Chuntian similarity measure and its application to pattern recognition. Pattern Recogn Lett 24(16):3101–3104CrossRef
Meng FY, Tang J (2013) Interval-valued intuitionistic fuzzy multi-criteria group decision making based on cross entropy and Choquet integral. Int J Intell Syst 2 28(12):1141–1213
Nayagam VLG, Sivaraman G (2011) Ranking of interval-valued intuitionistic fuzzy sets. Appl Soft Comput 11(4):3368–3372CrossRef
Park JH, Park Y, Young CK, Xue T (2011) Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment. Appl Math Model 35(5):2544–2556MATHMathSciNetCrossRef
Shapley LS (1953) A value for \(n\)-person game. In: Kuhn H, Tucker A (eds) Contributions to the theory of games. Princeton University Press, Princeton
Sugeno M (1974) Theory of fuzzy integral and its application. Doctorial Dissertation, Tokyo Institute of Technology
Shang XG, Jiang WS (1997) A note on fuzzy information measures. Pattern Recogn Lett 18(5):425–432CrossRef
Tan CQ (2011a) Generalized intuitionistic fuzzy geometric aggregation operator and its application to multi-criteria group decision making. Soft Comput 15(5):867–876
Tan CQ (2011b) A multi-criteria interval-valued intuitionistic fuzzy group decision making with Choquet integral-based TOPSIS. Expert Syst Appl 38(4):3023–3033
Tan CQ, Chen XH (2010a) Induced Choquet ordered averaging operator and its application to group decision making. Int J Intell Syst 25(1):59–82MATHCrossRef
Tan CQ, Chen XH (2010b) Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making. Expert Syst Appl 37(1):149–157CrossRef
Tan CQ, Chen XH (2011) Induced intuitionistic fuzzy Choquet integral operator for multi-criteria decision making. Int J Intell Syst 26(7):659–686
Tan CQ, Wu DSD, Ma BJ (2011) Group decision making with linguistic preference relations with application to supplier selection. Expert Syst Appl 38(12):14382–14389
Theil H (1963) On the symmetry approach to the committee decision problem. Manag Sci 9(3):380–393CrossRef
Wang JQ, Li JJ (2011) Multi-criteria fuzzy decision-making method based on cross entropy and score functions. Expert Syst Appl 38(1):1032–1038CrossRef
Wang ZJ, Li KW, Wang WZ (2009) An approach to multiattribute decision making with interval-valued intuitionistic fuzzy assessments and incomplete weights. Inform Sci 179(17):3026–3040MATHMathSciNetCrossRef
Wei GW (2010) GRA method for multiple attribute decision making with incomplete weight information in intuitionistic fuzzy setting. Knowl Based Syst 23(3):243–247CrossRef
Wei GW (2011) Gray relational analysis method for intuitionistic fuzzy multiple attribute decision making. Expert Syst Appl 38(9):11671–11677CrossRef
Xu ZS (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15(6):1179–1187CrossRef
Xia MM, Xu ZS (2012) Entropy/cross entropy-based group decision making under intuitionistic fuzzy environment. Inform Fusion 13(1):31–47MathSciNetCrossRef
Xu ZS, Chen J (2007a) On geometric aggregation over interval-valued intuitionistic fuzzy Informormation. FSKD 2:466–471
Xu ZS, Chen J (2007b) Approach to group decision making based on interval-valued intuitionistic judgment matrices. Syst Eng Theory Pract 27(1):126–133CrossRef
Xu ZS, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35(4):417–433MATHMathSciNetCrossRef
Ye J (2009) Multicriteria fuzzy decision-making method based on a novel accuracy function under interval-valued intuitionistic fuzzy environment. Expert Syst Appl 36(3):6899–6902CrossRef
Ye F (2010) An extended TOPSIS method with interval-valued intuitionistic fuzzy numbers for virtual enterprise partner selection. Expert Syst Appl 37(10):7050–7055CrossRef
Ye J (2010) Multicriteria fuzzy decision-making method using entropy weights-based correlation coefficients of interval-valued intuitionistic fuzzy sets. Appl Math Model 34(12):3864–3870MATHMathSciNetCrossRef
Ye J (2011) Fuzzy cross entropy of interval-valued intuitionistic fuzzy sets and its optimal decision-making method based on the weights of alternatives. Expert Syst Appl 38(5):6179–6183CrossRef
Yue Z (2011) Deriving decision maker’s weights based on distance measure for interval-valued intuitionistic fuzzy group decision making. Expert Syst Appl 381(9):1665–11670
Zhang HM, Yu LY (2012) MADM method based on cross entropy and extended TOPSIS with interval-valued intuitionistic fuzzy sets. Knowl Based Syst 30(1):115–120CrossRef
Metadaten
Titel
Interval-valued intuitionistic fuzzy multi-criteria group decision making based on cross entropy and 2-additive measures
verfasst von
Fanyong Meng
Xiaohong Chen
Publikationsdatum
01.07.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 7/2015
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-014-1393-7

Weitere Artikel der Ausgabe 7/2015

Soft Computing 7/2015 Zur Ausgabe

Methodologies and Application

A novel multicast routing method with minimum transmission for WSN of cloud computing service

Methodologies and Application

Complement information entropy for uncertainty measure in fuzzy rough set and its applications

Methodologies and Application

Fragile watermarking using Karhunen–Loève transform: the KLT-F approach

Methodologies and Application

Systolic genetic search, a systolic computing-based metaheuristic

Methodologies and Application

Applications of SVR to the Aveiro discretization method

Methodologies and Application

Sensitivity and stability analysis of the additive model in uncertain data envelopment analysis