Skip to main content
Erschienen in: Group Decision and Negotiation 3/2019

29.01.2019

An Improved Consensus-Based Model for Large Group Decision Making Problems Considering Experts with Linguistic Weighted Information

verfasst von: Pei Wang, Xuanhua Xu, Shuai Huang

Erschienen in: Group Decision and Negotiation | Ausgabe 3/2019

Einloggen

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

search-config
loading …

Abstract

In this paper, a consensus-based model in a large group decision making environment is proposed to achieve the group consensus among experts. This framework considers experts with different importance levels, which are expressed by the forms of linguistic variables. More specifically, the group of large-scale experts is firstly transferred into some small groups to simplify the decision making process. Following this, cluster weights can be determined by combining the group size of a cluster and the importance degrees of experts in a cluster. In the consensus process, an objective adjustment coefficient based on the expert’s importance degree is developed to modify the individual preferences, which can retain the original decision information of expert with higher importance degree as much as possible. The main characteristic of the proposed objective adjustment coefficient is that generates different coefficients for different clusters based on experts’ importance degrees. Finally, the proposed model is applied to an application example, and some detailed analysis and comparisons are given to verify the feasibility and the effectiveness of the proposed method.

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!

Literatur
Zurück zum Zitat Cai C, Xu X, Wang P, Chen X (2017) A multi-stage conflict style large group emergency decision-making method. Soft Comput 21:5765–5778CrossRef Cai C, Xu X, Wang P, Chen X (2017) A multi-stage conflict style large group emergency decision-making method. Soft Comput 21:5765–5778CrossRef
Zurück zum Zitat Chen XH, Xu XH (2008) Research of a kind of method of multi-attributes and multi-schemes large group decision making. J Syst Eng 23:137–141 Chen XH, Xu XH (2008) Research of a kind of method of multi-attributes and multi-schemes large group decision making. J Syst Eng 23:137–141
Zurück zum Zitat Chen X, Zhang H, Dong Y (2015) The fusion process with heterogeneous preference structures in group decision making: a survey. Inf Fusion 24:72–83CrossRef Chen X, Zhang H, Dong Y (2015) The fusion process with heterogeneous preference structures in group decision making: a survey. Inf Fusion 24:72–83CrossRef
Zurück zum Zitat Chen ZS, Chin KS, Li YL, Yang Y (2016) Proportional hesitant fuzzy linguistic term set for multiple criteria group decision making. Inf Sci 357:61–87CrossRef Chen ZS, Chin KS, Li YL, Yang Y (2016) Proportional hesitant fuzzy linguistic term set for multiple criteria group decision making. Inf Sci 357:61–87CrossRef
Zurück zum Zitat Dong YC, Chen X, Herrera F (2015) Minimizing adjusted simple terms in the consensus reaching process with hesitant linguistic assessments in group decision making. Inf Sci 297:95–117CrossRef Dong YC, Chen X, Herrera F (2015) Minimizing adjusted simple terms in the consensus reaching process with hesitant linguistic assessments in group decision making. Inf Sci 297:95–117CrossRef
Zurück zum Zitat Dong Y, Zhang H, Herrera-Viedma E (2016) Consensus reaching model in the complex and dynamic MAGDM problem. Knowl Based Syst 106:206–219CrossRef Dong Y, Zhang H, Herrera-Viedma E (2016) Consensus reaching model in the complex and dynamic MAGDM problem. Knowl Based Syst 106:206–219CrossRef
Zurück zum Zitat Dong Y, Ding Z, Martínez L, Herrera F (2017) Managing consensus based on leadership in opinion dynamics. Inf Sci 397–398:187–205CrossRef Dong Y, Ding Z, Martínez L, Herrera F (2017) Managing consensus based on leadership in opinion dynamics. Inf Sci 397–398:187–205CrossRef
Zurück zum Zitat Dong Y, Zhao S, Zhang H, Chiclana F, Herrera-Viedma E (2018a) A self-management mechanism for non-cooperative behaviors in large-scale group consensus reaching processes. IEEE Trans Fuzzy Syst 26(6):3276–3288CrossRef Dong Y, Zhao S, Zhang H, Chiclana F, Herrera-Viedma E (2018a) A self-management mechanism for non-cooperative behaviors in large-scale group consensus reaching processes. IEEE Trans Fuzzy Syst 26(6):3276–3288CrossRef
Zurück zum Zitat Dong Y, Zha Q, Zhang H, Kou G, Fujita H, Chiclana F, Herrera-Viedma E (2018b) Consensus reaching in social network group decision making: research paradigms and challenges. Knowl Based Syst 162:3–13CrossRef Dong Y, Zha Q, Zhang H, Kou G, Fujita H, Chiclana F, Herrera-Viedma E (2018b) Consensus reaching in social network group decision making: research paradigms and challenges. Knowl Based Syst 162:3–13CrossRef
Zurück zum Zitat Dong Y, Zhan M, Kou G, Ding Z, Liang H (2018c) A survey on the fusion process in opinion dynamics. Inf Fusion 43:57–65CrossRef Dong Y, Zhan M, Kou G, Ding Z, Liang H (2018c) A survey on the fusion process in opinion dynamics. Inf Fusion 43:57–65CrossRef
Zurück zum Zitat Garcı JT, Del Moral M, Martínez M, Herrera-Viedma E et al (2012) A consensus model for group decision making problems with linguistic interval fuzzy preference relations. Expert Syst Appl 39(11):10022–10030CrossRef Garcı JT, Del Moral M, Martínez M, Herrera-Viedma E et al (2012) A consensus model for group decision making problems with linguistic interval fuzzy preference relations. Expert Syst Appl 39(11):10022–10030CrossRef
Zurück zum Zitat Gong ZW, Forrest J, Zhao Y, Yang YJ (2012) The optimal group consensus deviation measure for multiplicative preference relations. Expert Syst Appl 39(14):11548–11555CrossRef Gong ZW, Forrest J, Zhao Y, Yang YJ (2012) The optimal group consensus deviation measure for multiplicative preference relations. Expert Syst Appl 39(14):11548–11555CrossRef
Zurück zum Zitat González-Arteaga T, de Andrés Calle R, Chiclana F (2016) A new measure of consensus with reciprocal preference relations: the correlation consensus degree. Knowl Based Syst 107:104–116CrossRef González-Arteaga T, de Andrés Calle R, Chiclana F (2016) A new measure of consensus with reciprocal preference relations: the correlation consensus degree. Knowl Based Syst 107:104–116CrossRef
Zurück zum Zitat Gou X, Xu Z, Herrera F (2018) Consensus reaching process for large-scale group decision making with double hierarchy hesitant fuzzy linguistic preference relations. Knowl Based Syst 157:20–33CrossRef Gou X, Xu Z, Herrera F (2018) Consensus reaching process for large-scale group decision making with double hierarchy hesitant fuzzy linguistic preference relations. Knowl Based Syst 157:20–33CrossRef
Zurück zum Zitat Herrera-Viedma E, Herrera F, Chiclana F (2002) A consensus model for multiperson decision making with different preference structures. IEEE Trans Syst Man Cybern Part A Syst Hum 32(3):394–402CrossRef Herrera-Viedma E, Herrera F, Chiclana F (2002) A consensus model for multiperson decision making with different preference structures. IEEE Trans Syst Man Cybern Part A Syst Hum 32(3):394–402CrossRef
Zurück zum Zitat Liao HC, Xu ZS, Zeng XJ, Xu DL (2016) An enhanced consensus reaching process in group decision making with intuitionistic fuzzy preference relations. Inf Sci 329:274–286CrossRef Liao HC, Xu ZS, Zeng XJ, Xu DL (2016) An enhanced consensus reaching process in group decision making with intuitionistic fuzzy preference relations. Inf Sci 329:274–286CrossRef
Zurück zum Zitat Liu BS, Chen Y, Shen YH, Sun H, Xu XH (2014a) A complex multi-attribute large-group decision making method based on the interval-valued intuitionistic fuzzy principal component analysis model. Soft Comput 18(11):2149–2160CrossRef Liu BS, Chen Y, Shen YH, Sun H, Xu XH (2014a) A complex multi-attribute large-group decision making method based on the interval-valued intuitionistic fuzzy principal component analysis model. Soft Comput 18(11):2149–2160CrossRef
Zurück zum Zitat Liu BS, Shen YH, Chen XH, Chen Y, Wang XQ (2014b) A partial binary tree DEA-DA cyclic classification model for decision makers in complex multi-attribute large-group interval-valued intuitionistic fuzzy decision-making problems. Inf Fusion 18:119–130CrossRef Liu BS, Shen YH, Chen XH, Chen Y, Wang XQ (2014b) A partial binary tree DEA-DA cyclic classification model for decision makers in complex multi-attribute large-group interval-valued intuitionistic fuzzy decision-making problems. Inf Fusion 18:119–130CrossRef
Zurück zum Zitat Liu B, Shen Y, Chen Y, Chen X, Wang Y (2015a) A two-layer weight determination method for complex multi-attribute large-group decision-making experts in a linguistic environment. Inf Fusion 23:156–165CrossRef Liu B, Shen Y, Chen Y, Chen X, Wang Y (2015a) A two-layer weight determination method for complex multi-attribute large-group decision-making experts in a linguistic environment. Inf Fusion 23:156–165CrossRef
Zurück zum Zitat Liu BS, Shen YH, Zhang W, Chen XH, Wang XQ (2015b) An interval-valued intuitionistic fuzzy principal component analysis model-based method for complex multi-attribute large-group decision-making. Eur J Oper Res 245(1):209–225CrossRef Liu BS, Shen YH, Zhang W, Chen XH, Wang XQ (2015b) An interval-valued intuitionistic fuzzy principal component analysis model-based method for complex multi-attribute large-group decision-making. Eur J Oper Res 245(1):209–225CrossRef
Zurück zum Zitat Massanet S, Riera JV, Torrens J, Herrera-Viedma E (2016) A model based on subjective linguistic preference relations for group decision making problems. Inf Sci 355:249–264CrossRef Massanet S, Riera JV, Torrens J, Herrera-Viedma E (2016) A model based on subjective linguistic preference relations for group decision making problems. Inf Sci 355:249–264CrossRef
Zurück zum Zitat Palomares I, Martínez L (2014) Low-dimensional visualization of experts preferences in urgent group decision making under uncertainty. Procedia Comput Sci 29:2090–2101CrossRef Palomares I, Martínez L (2014) Low-dimensional visualization of experts preferences in urgent group decision making under uncertainty. Procedia Comput Sci 29:2090–2101CrossRef
Zurück zum Zitat Palomares I, Estrella FJ, Martínez L, Herrera F (2014a) Consensus under a fuzzy context: taxonomy, analysis framework afryca and experimental case of study. Inf Fusion 20:252–271CrossRef Palomares I, Estrella FJ, Martínez L, Herrera F (2014a) Consensus under a fuzzy context: taxonomy, analysis framework afryca and experimental case of study. Inf Fusion 20:252–271CrossRef
Zurück zum Zitat Palomares I, Martínez L, Herrera F (2014b) MENTOR: a graphical monitoring tool of preferences evolution in large-scale group decision making. Knowl Based Syst 58:66–74CrossRef Palomares I, Martínez L, Herrera F (2014b) MENTOR: a graphical monitoring tool of preferences evolution in large-scale group decision making. Knowl Based Syst 58:66–74CrossRef
Zurück zum Zitat Palomares I, Martínez L, Herrera F (2014c) A consensus model to detect and manage noncooperative behaviors in large-scale group decision making. IEEE Trans Fuzzy Syst 22(3):516–530CrossRef Palomares I, Martínez L, Herrera F (2014c) A consensus model to detect and manage noncooperative behaviors in large-scale group decision making. IEEE Trans Fuzzy Syst 22(3):516–530CrossRef
Zurück zum Zitat Roselló L, Sánchez M, Agell N, Prats F, Mazaira FA (2014) Using consensus and distances between generalized multi-attribute linguistic assessments for group decision-making. Inf Fusion 17:83–92CrossRef Roselló L, Sánchez M, Agell N, Prats F, Mazaira FA (2014) Using consensus and distances between generalized multi-attribute linguistic assessments for group decision-making. Inf Fusion 17:83–92CrossRef
Zurück zum Zitat Shen F, Xu JP, Xu ZS (2016) An outranking sorting method for multi-criteria group decision making using intuitionistic fuzzy sets. Inf Sci 334:338–353CrossRef Shen F, Xu JP, Xu ZS (2016) An outranking sorting method for multi-criteria group decision making using intuitionistic fuzzy sets. Inf Sci 334:338–353CrossRef
Zurück zum Zitat Shi Z, Wang X, Palomares I, Guo S, Ding R-X (2018) A novel consensus model for multi-attribute large-scale group decision making based on comprehensive behavior classification and adaptive weight updating. Knowl Based Syst 158:196–208CrossRef Shi Z, Wang X, Palomares I, Guo S, Ding R-X (2018) A novel consensus model for multi-attribute large-scale group decision making based on comprehensive behavior classification and adaptive weight updating. Knowl Based Syst 158:196–208CrossRef
Zurück zum Zitat Wang JQ, Wang P, Wang J, Zhang HY, Chen XH (2015) Atanassov’s interval-valued intuitionistic linguistic multicriteria group decision-making method based on the trapezium cloud model. IEEE Trans Fuzzy Syst 23(3):542–554CrossRef Wang JQ, Wang P, Wang J, Zhang HY, Chen XH (2015) Atanassov’s interval-valued intuitionistic linguistic multicriteria group decision-making method based on the trapezium cloud model. IEEE Trans Fuzzy Syst 23(3):542–554CrossRef
Zurück zum Zitat Wu ZB, Chen YH (2007) The maximizing deviation method for group multiple attribute decision making under linguistic environment. Fuzzy Sets Syst 158(14):1608–1617CrossRef Wu ZB, Chen YH (2007) The maximizing deviation method for group multiple attribute decision making under linguistic environment. Fuzzy Sets Syst 158(14):1608–1617CrossRef
Zurück zum Zitat Wu ZB, Xu JP (2012) A consistency and consensus based decision support model for group decision making with multiplicative preference relations. Decis Support Syst 52(3):757–767CrossRef Wu ZB, Xu JP (2012) A consistency and consensus based decision support model for group decision making with multiplicative preference relations. Decis Support Syst 52(3):757–767CrossRef
Zurück zum Zitat Wu ZB, Xu JP (2016) Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations. Omega 65:28–40CrossRef Wu ZB, Xu JP (2016) Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations. Omega 65:28–40CrossRef
Zurück zum Zitat Wu Z, Xu J (2018) A consensus model for large-scale group decision making with hesitant fuzzy information and changeable clusters. Inf Fusion 41:217–231CrossRef Wu Z, Xu J (2018) A consensus model for large-scale group decision making with hesitant fuzzy information and changeable clusters. Inf Fusion 41:217–231CrossRef
Zurück zum Zitat Xu ZS (2005) Deviation measures of linguistic preference relations in group decision making. Omega 33(3):249–254CrossRef Xu ZS (2005) Deviation measures of linguistic preference relations in group decision making. Omega 33(3):249–254CrossRef
Zurück zum Zitat Xu ZS (2009) An automatic approach to reaching consensus in multiple attribute group decision making. Comput Ind Eng 56(4):1369–1374CrossRef Xu ZS (2009) An automatic approach to reaching consensus in multiple attribute group decision making. Comput Ind Eng 56(4):1369–1374CrossRef
Zurück zum Zitat Xu XH, Chen XH (2005) Research on the group clustering method based on vector space. Syst Eng Electron 27(6):1034–1037 Xu XH, Chen XH (2005) Research on the group clustering method based on vector space. Syst Eng Electron 27(6):1034–1037
Zurück zum Zitat Xu XH, Zhong XY, Chen XH, Zhou YJ (2015a) A dynamical consensus method based on exit-delegation mechanism for large group emergency decision making. Knowl Based Syst 86:237–249CrossRef Xu XH, Zhong XY, Chen XH, Zhou YJ (2015a) A dynamical consensus method based on exit-delegation mechanism for large group emergency decision making. Knowl Based Syst 86:237–249CrossRef
Zurück zum Zitat Xu XH, Du ZJ, Chen XH (2015b) Consensus model for multi-criteria large-group emergency decision making considering non-cooperative behaviors and minority opinions. Decis Support Syst 79:150–160CrossRef Xu XH, Du ZJ, Chen XH (2015b) Consensus model for multi-criteria large-group emergency decision making considering non-cooperative behaviors and minority opinions. Decis Support Syst 79:150–160CrossRef
Zurück zum Zitat Xu YJ, Zhang WC, Wang HM (2015c) A conflict-eliminating approach for emergency group decision of unconventional incidents. Knowl Based Syst 83:92–104CrossRef Xu YJ, Zhang WC, Wang HM (2015c) A conflict-eliminating approach for emergency group decision of unconventional incidents. Knowl Based Syst 83:92–104CrossRef
Zurück zum Zitat Xu GL, Wan SP, Wang F, Dong JY, Zeng YF (2016) Mathematical programming methods for consistency and consensus in group decision making with intuitionistic fuzzy preference relations. Knowl Based Syst 98:30–43CrossRef Xu GL, Wan SP, Wang F, Dong JY, Zeng YF (2016) Mathematical programming methods for consistency and consensus in group decision making with intuitionistic fuzzy preference relations. Knowl Based Syst 98:30–43CrossRef
Zurück zum Zitat Zhang LY, Li T, Xu XH (2014) Consensus model for multiple criteria group decision making under intuitionistic fuzzy environment. Knowl Based Syst 57:127–135CrossRef Zhang LY, Li T, Xu XH (2014) Consensus model for multiple criteria group decision making under intuitionistic fuzzy environment. Knowl Based Syst 57:127–135CrossRef
Zurück zum Zitat Zhang XX, Ge BF, Jiang J, Tan YJ (2016) Consensus building in group decision making based on multiplicative consistency with incomplete reciprocal preference relations. Knowl Based Syst 106:96–104CrossRef Zhang XX, Ge BF, Jiang J, Tan YJ (2016) Consensus building in group decision making based on multiplicative consistency with incomplete reciprocal preference relations. Knowl Based Syst 106:96–104CrossRef
Zurück zum Zitat Zhang H, Dong Y, Herrera-Viedma E (2018a) Consensus building for the heterogeneous large-scale GDM with the individual concerns and satisfactions. IEEE Trans Fuzzy Syst 26(2):884–898CrossRef Zhang H, Dong Y, Herrera-Viedma E (2018a) Consensus building for the heterogeneous large-scale GDM with the individual concerns and satisfactions. IEEE Trans Fuzzy Syst 26(2):884–898CrossRef
Zurück zum Zitat Zhang H, Dong Y, Chen X (2018b) The 2-rank consensus reaching model in the multigranular linguistic multiple-attribute group decision-making. IEEE Trans Syst Man Cybern Syst 48(12):2080–2094CrossRef Zhang H, Dong Y, Chen X (2018b) The 2-rank consensus reaching model in the multigranular linguistic multiple-attribute group decision-making. IEEE Trans Syst Man Cybern Syst 48(12):2080–2094CrossRef
Zurück zum Zitat Zhang B, Liang H, Zhang G, Xu Y (2018c) Minimum deviation ordinal consensus reaching in GDM with heterogeneous preference structures. Appl Soft Comput 67:658–676CrossRef Zhang B, Liang H, Zhang G, Xu Y (2018c) Minimum deviation ordinal consensus reaching in GDM with heterogeneous preference structures. Appl Soft Comput 67:658–676CrossRef
Metadaten
Titel
An Improved Consensus-Based Model for Large Group Decision Making Problems Considering Experts with Linguistic Weighted Information
verfasst von
Pei Wang
Xuanhua Xu
Shuai Huang
Publikationsdatum
29.01.2019
Verlag
Springer Netherlands
Erschienen in
Group Decision and Negotiation / Ausgabe 3/2019
Print ISSN: 0926-2644
Elektronische ISSN: 1572-9907
DOI
https://doi.org/10.1007/s10726-019-09615-8

Weitere Artikel der Ausgabe 3/2019

Group Decision and Negotiation 3/2019 Zur Ausgabe

Premium Partner