Skip to main content
Erschienen in: Soft Computing 21/2017

09.06.2016 | Methodologies and Application

Multiple criteria decision making based on Bonferroni means with hesitant fuzzy linguistic information

verfasst von: Xunjie Gou, Zeshui Xu, Huchang Liao

Erschienen in: Soft Computing | Ausgabe 21/2017

Einloggen

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

search-config
loading …

Abstract

In recent decades, different extensional forms of fuzzy sets have been developed. However, these multitudinous fuzzy sets are unable to deal with quantitative information better. Motivated by fuzzy linguistic approach and hesitant fuzzy sets, the hesitant fuzzy linguistic term set was introduced and it is a more reasonable set to deal with quantitative information. During the process of multiple criteria decision making, it is necessary to propose some aggregation operators to handle hesitant fuzzy linguistic information. In this paper, two aggregation operators for hesitant fuzzy linguistic term sets are introduced, which are the hesitant fuzzy linguistic Bonferroni mean operator and the weighted hesitant fuzzy linguistic Bonferroni mean operator. Correspondingly, several properties of these two aggregation operators are discussed. Finally, a practical case is shown in order to express the application of these two aggregation operators. This case mainly discusses how to choose the best hospital about conducting the whole society resource management research included in a wisdom medical health system.

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!

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!

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!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
Zurück zum Zitat Beg I, Rashid T (2013) TOPSIS for hesitant fuzzy linguistic term sets. Int J Intell Syst 28:1162–1171CrossRef Beg I, Rashid T (2013) TOPSIS for hesitant fuzzy linguistic term sets. Int J Intell Syst 28:1162–1171CrossRef
Zurück zum Zitat Beliakov G, James S, Mordelová J, Rückschlossová T, Yager RR (2010) Generalized Bonferroni mean operators in multi-criteria aggregation. Fuzzy Sets Syst 161:2227–2242MathSciNetCrossRefMATH Beliakov G, James S, Mordelová J, Rückschlossová T, Yager RR (2010) Generalized Bonferroni mean operators in multi-criteria aggregation. Fuzzy Sets Syst 161:2227–2242MathSciNetCrossRefMATH
Zurück zum Zitat Bonferroni C (1950) Sulle medie multiple di potenze. Bolletino Matematica Italiana 5:267–270MathSciNetMATH Bonferroni C (1950) Sulle medie multiple di potenze. Bolletino Matematica Italiana 5:267–270MathSciNetMATH
Zurück zum Zitat Dubois D, Prade H (1980) Fuzzy sets and systems: theory and applications. Kluwer Academic, New YorkMATH Dubois D, Prade H (1980) Fuzzy sets and systems: theory and applications. Kluwer Academic, New YorkMATH
Zurück zum Zitat Herrera F, Herrera-Viedma E (2000) Linguistic decision analysis: steps for solving decision problems under linguistic information. Fuzzy Sets Syst 115:67–82MathSciNetCrossRefMATH Herrera F, Herrera-Viedma E (2000) Linguistic decision analysis: steps for solving decision problems under linguistic information. Fuzzy Sets Syst 115:67–82MathSciNetCrossRefMATH
Zurück zum Zitat Herrera F, Martínez L (2000) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 8:746–752CrossRef Herrera F, Martínez L (2000) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 8:746–752CrossRef
Zurück zum Zitat Liao HC, Xu ZS, Zeng XJ (2014) Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making. Inf Sci 271:125–142MathSciNetCrossRefMATH Liao HC, Xu ZS, Zeng XJ (2014) Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making. Inf Sci 271:125–142MathSciNetCrossRefMATH
Zurück zum Zitat Liao HC, Xu ZS, Zeng XJ, Merigó JM (2015) Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets. Knowl Based Syst 76:127–138CrossRef Liao HC, Xu ZS, Zeng XJ, Merigó JM (2015) Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets. Knowl Based Syst 76:127–138CrossRef
Zurück zum Zitat Liao HC, Xu ZS, Zeng XJ (2015) Hesitant fuzzy linguistic VIKOR method and its application in qualitative multiple criteria decision making. IEEE Trans Fuzzy Syst 23(5):1343–1355CrossRef Liao HC, Xu ZS, Zeng XJ (2015) Hesitant fuzzy linguistic VIKOR method and its application in qualitative multiple criteria decision making. IEEE Trans Fuzzy Syst 23(5):1343–1355CrossRef
Zurück zum Zitat Liao HC, Xu ZS (2015) Approaches to manage hesitant fuzzy linguistic information based on the cosine distance and similarity measures for HFLTSs and their application in qualitative decision making. Expert Syst Appl 42(12):5328–5336CrossRef Liao HC, Xu ZS (2015) Approaches to manage hesitant fuzzy linguistic information based on the cosine distance and similarity measures for HFLTSs and their application in qualitative decision making. Expert Syst Appl 42(12):5328–5336CrossRef
Zurück zum Zitat Liu HB, Rodríguez RM (2014) A fuzzy envelope of hesitant fuzzy linguistic term set and its application to multicriteria decision making. Inf Sci 258:220–238MathSciNetCrossRefMATH Liu HB, Rodríguez RM (2014) A fuzzy envelope of hesitant fuzzy linguistic term set and its application to multicriteria decision making. Inf Sci 258:220–238MathSciNetCrossRefMATH
Zurück zum Zitat Massanet S, Riera JV, Torren J, Herrera-Viedma E (2014) A new linguistic computational model based on discrete fuzzy numbers for computing with words. Inf Sci 258:277–290MathSciNetCrossRefMATH Massanet S, Riera JV, Torren J, Herrera-Viedma E (2014) A new linguistic computational model based on discrete fuzzy numbers for computing with words. Inf Sci 258:277–290MathSciNetCrossRefMATH
Zurück zum Zitat Riera JV, Massanet S, Herrera-Viedma E, Torrens J (2015) Some interesting properties of the fuzzy linguistic model based on discrete fuzzy numbers to manage hesitant fuzzy linguistic information. Appl Soft Comput 36:383–391CrossRef Riera JV, Massanet S, Herrera-Viedma E, Torrens J (2015) Some interesting properties of the fuzzy linguistic model based on discrete fuzzy numbers to manage hesitant fuzzy linguistic information. Appl Soft Comput 36:383–391CrossRef
Zurück zum Zitat Rodríguez RM, Martínez L, Herrera F (2012) Hesitant fuzzy linguistic terms sets for decision making. IEEE Trans Fuzzy Syst 20:109–119CrossRef Rodríguez RM, Martínez L, Herrera F (2012) Hesitant fuzzy linguistic terms sets for decision making. IEEE Trans Fuzzy Syst 20:109–119CrossRef
Zurück zum Zitat Rodríguez RM, Martínez L, Herrera F (2013) A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term set. Inf Sci 241:28–42MathSciNetCrossRefMATH Rodríguez RM, Martínez L, Herrera F (2013) A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term set. Inf Sci 241:28–42MathSciNetCrossRefMATH
Zurück zum Zitat Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25(6):529–539MATH Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25(6):529–539MATH
Zurück zum Zitat Wang JQ, Wu JT, Wang J, Zhang HY, Chen XH (2014) Interval-valued hesitant fuzzy linguistic sets and their applications in multi-criteria decision-making problems. Inf Sci 288:55–72MathSciNetCrossRefMATH Wang JQ, Wu JT, Wang J, Zhang HY, Chen XH (2014) Interval-valued hesitant fuzzy linguistic sets and their applications in multi-criteria decision-making problems. Inf Sci 288:55–72MathSciNetCrossRefMATH
Zurück zum Zitat Wang H (2015) Extended hesitant fuzzy linguistic term sets and their aggregation in group decision making. Int J Comput Intell Syst 8:14–33CrossRef Wang H (2015) Extended hesitant fuzzy linguistic term sets and their aggregation in group decision making. Int J Comput Intell Syst 8:14–33CrossRef
Zurück zum Zitat Wang JH, Hao J (2006) A new version of 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 14:435–445CrossRef Wang JH, Hao J (2006) A new version of 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 14:435–445CrossRef
Zurück zum Zitat Wei CP, Zhao N, Tang XJ (2014) Operators and comparisons of hesitant fuzzy linguistic term sets. IEEE Trans Fuzzy Syst 22(3):575–585CrossRef Wei CP, Zhao N, Tang XJ (2014) Operators and comparisons of hesitant fuzzy linguistic term sets. IEEE Trans Fuzzy Syst 22(3):575–585CrossRef
Zurück zum Zitat Xia MM, Xu ZS, Zhu B (2013) Geometric Bonferroni means with their application in multi-criteria decision making. Knowl Based Syst 40:88–100CrossRef Xia MM, Xu ZS, Zhu B (2013) Geometric Bonferroni means with their application in multi-criteria decision making. Knowl Based Syst 40:88–100CrossRef
Zurück zum Zitat Xia MM, Xu ZS, Liao HC (2013) Preference relations based on intuitionistic multiplicative information. IEEE Trans Fuzzy Syst 21(1):113–133CrossRef Xia MM, Xu ZS, Liao HC (2013) Preference relations based on intuitionistic multiplicative information. IEEE Trans Fuzzy Syst 21(1):113–133CrossRef
Zurück zum Zitat Xu ZS (2004) A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Inf Sci 166:19–30MathSciNetCrossRefMATH Xu ZS (2004) A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Inf Sci 166:19–30MathSciNetCrossRefMATH
Zurück zum Zitat Xu ZS (2004) Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment. Inf Sci 168:171–184CrossRefMATH Xu ZS (2004) Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment. Inf Sci 168:171–184CrossRefMATH
Zurück zum Zitat Xu ZS (2005) Deviation measures of linguistic preference relations in group decision making. Omega Int J Manag 33:249–254CrossRef Xu ZS (2005) Deviation measures of linguistic preference relations in group decision making. Omega Int J Manag 33:249–254CrossRef
Zurück zum Zitat Xu ZS, Yager RR (2011) Intuitionistic fuzzy Bonferroni means. IEEE Trans Syst Man Cybern Part B 41:568–578CrossRef Xu ZS, Yager RR (2011) Intuitionistic fuzzy Bonferroni means. IEEE Trans Syst Man Cybern Part B 41:568–578CrossRef
Zurück zum Zitat Yu DJ, Wu YY, Zhou W (2012) Generalized hesitant fuzzy Bonferroni mean and its application in multi-criteria group decision making. J Inf Comput Sci 9(2):267–274 Yu DJ, Wu YY, Zhou W (2012) Generalized hesitant fuzzy Bonferroni mean and its application in multi-criteria group decision making. J Inf Comput Sci 9(2):267–274
Zurück zum Zitat Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning—Part I. Inf Sci 8(3):199–249CrossRefMATH Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning—Part I. Inf Sci 8(3):199–249CrossRefMATH
Zurück zum Zitat Zhang YJ, Wang YZ, Wang JP (2013) Hesitant fuzzy linguistic multiple attribute decision making. In: 16th International Conference on Information Fusion. Istanbul, Turkey, pp 9–12 Zhang YJ, Wang YZ, Wang JP (2013) Hesitant fuzzy linguistic multiple attribute decision making. In: 16th International Conference on Information Fusion. Istanbul, Turkey, pp 9–12
Zurück zum Zitat Zhang JL, Qi XW (2013) Research on multiple attribute decision making under hesitant fuzzy linguistic environment with application to production strategy decision making. Adv Mater Res 753–755:2829–2836CrossRef Zhang JL, Qi XW (2013) Research on multiple attribute decision making under hesitant fuzzy linguistic environment with application to production strategy decision making. Adv Mater Res 753–755:2829–2836CrossRef
Zurück zum Zitat Zhu B, Xu ZS (2013) Hesitant fuzzy Bonferroni means for multi-criteria decision making. J Oper Res Soc 64:1831–1840CrossRef Zhu B, Xu ZS (2013) Hesitant fuzzy Bonferroni means for multi-criteria decision making. J Oper Res Soc 64:1831–1840CrossRef
Zurück zum Zitat Zhu B, Xu ZS (2014) Consistency measures for hesitant fuzzy linguistic preference relations. IEEE Trans Fuzzy Syst 22(1):35–45CrossRef Zhu B, Xu ZS (2014) Consistency measures for hesitant fuzzy linguistic preference relations. IEEE Trans Fuzzy Syst 22(1):35–45CrossRef
Metadaten
Titel
Multiple criteria decision making based on Bonferroni means with hesitant fuzzy linguistic information
verfasst von
Xunjie Gou
Zeshui Xu
Huchang Liao
Publikationsdatum
09.06.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 21/2017
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-016-2211-1

Weitere Artikel der Ausgabe 21/2017

Soft Computing 21/2017 Zur Ausgabe