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 14/2018

07.06.2017 | Methodologies and Application

Distance-based nonlinear programming models to identify and adjust inconsistencies for linguistic preference relations

verfasst von: Yejun Xu, Cuiping Wei, Hao Sun

Erschienen in: Soft Computing | Ausgabe 14/2018

Einloggen

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

search-config
loading …

Abstract

This paper studies the ordinal and additive inconsistency problems of linguistic preference relations. First, the definition of ordinal consistency of a linguistic preference relation is proposed. Based on the definition of adjacency matrix of a linguistic preference relation, the necessary and sufficient conditions of a linguistic preference relation being ordinally consistent are given. Then, a distance-based nonlinear programming method is developed to identify and adjust the ordinal and additive inconsistencies for linguistic preference relations. The proposed methods can not only solve the ordinal inconsistency, additive inconsistency problems, respectively, but also solve the ordinal and additive inconsistency problems simultaneously. Finally, numerical examples and comparative analysis are provided to show the effectiveness and advantages of the proposed methods.
Vorheriger Artikel Local search methods for the solution of implicit inverse problems

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
Alonso S, Cabrerizo FJ, Chiclana F, Herrera F, Herrera-Viedma E (2009) Group decision making with incomplete fuzzy linguistic preference relations. Int J Intell Syst 24:201–222CrossRefMATH
Alonso S, Herrera-Viedma E, Chiclana F, Herrera F (2010) A web based consensus support system for group decision making problems and incomplete preferences. Inf Sci 180:4477–4495MathSciNetCrossRef
Ben-Arieh D, Chen ZF (2006) Linguistic-labels aggregation and consensus measure for autocratic decision making using group recommendations. IEEE Trans Syst Man Cybern Part A Syst Humans 36:558–568CrossRef
Cabrerizo FJ, Chiclana F, Al-Hmouz R, Morfeq A, Balamash AS, Herrera-Viedma E (2015) Fuzzy decision making and consensus: challenges. J Intell Fuzzy Syst 29:1109–1118MathSciNetCrossRefMATH
Díaz S, García-Lapresta JL, Montes S (2008) Consistent models of transitivity for reciprocal preferences on a finite ordinal scale. Inf Sci 178:2832–2848MathSciNetCrossRefMATH
Dong YC, Hong WC, Xu YF (2013) Measuring consistency of linguistic preference relations: a 2-tuple linguistic approach. Soft Comput 17:2117–2130CrossRef
Dong YC, Li CC, Chiclana F, Herrera F (2016) Average-case consistency measurement and analysis of interval-valued reciprocal preference relations. Knowledge Based Syst 114:108–117CrossRef
Dong YC, Li CC, Herrera F (2015) An optimization-based approach to adjusting unbalanced linguistic preference relations to obtain a required consistency level. Inf Sci 292:27–38MathSciNetCrossRefMATH
Dong YC, Xu YF, Li HY, Feng B (2010) The OWA-based consensus operator under linguistic representation models using position indexes. Eur J Oper Res 203:455–463CrossRefMATH
González-Pachón J, Romero C (1999) Distance-based consensus methods: a goal programming approach. Omega Int J Manag Sci 27:341–347CrossRef
Herrera-Viedma E, Herrera F, Chiclana F, Luque M (2004) Some issues on consistency of fuzzy preference relations. Eur J Oper Res 154:98–109MathSciNetCrossRefMATH
Herrera-Viedma E, Martínez L, Mata F, Chiclana F (2005) A consensus support system model for group decision-making problems with multigranular linguistic preference relations. IEEE Trans Fuzzy Syst 13:644–658CrossRef
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, Martínez L (2000) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 8:746–752CrossRef
Ju YB, Liu XY, Wang AH (2016) Some new Shapley 2-tuple linguistic Choquet aggregation operators and their applications to multiple attribute group decision making. Soft Comput 20:4037–4053CrossRefMATH
Liu WQ, Dong YC, Chiclana F, Cabrerizo FJ, Herrera-Viedma E (2016a) Group decision-making based on heterogeneous preference relations with self-confidence. Fuzzy Optim Decis Mak. doi:10.​1007/​s10700-016-9254-8
Liu XW, Pan YW, Xu YJ, Yu S (2012) Least square completion and inconsistency repair methods for additively consistent fuzzy preference relations. Fuzzy Sets Syst 198:1–19MathSciNetCrossRefMATH
Liu XY, Ju YB, Yang SH (2016b) Some generalized interval-valued hesitant uncertain linguistic aggregation operators and their applications to multiple attribute group decision making. Soft Comput 20:495–510CrossRefMATH
Liu YJ, Liang CY, Chiclana F, Wu J (2017) A trust induced recommendation mechanism for reaching consensus in group decision making. Knowl Based Syst 119:221–231CrossRef
Pérez IJ, Cabrerizo FJ, Alonso S, Herrera-Viedma E (2014) A new consensus model for group decision making problems with non homogeneous experts. IEEE Trans Syst Man Cybern Syst 44:494–498CrossRef
Pérez LG, Mata F, Chiclana F, Kou G, Herrera-Viedma E (2016) Modelling influence in group decision making. Soft Comput 20:1653–1665CrossRef
Saaty TL (1980) The analytic hierarchy process. McGraw-Hill, New YorkMATH
Siraj S, Mikhailov L, Keane J (2012) A heuristic method to rectify intransitive judgments in pairwise comparison matrices. Eur J Oper Res 216:420–428MathSciNetCrossRefMATH
Wei CP, Feng XQ, Zhang YZ (2009) Method for measuring the satisfactory consistency of a linguistic judgement matrix. Syst Eng Theory Pract 29:104–110CrossRef
Wu J, Chiclana F, Fujita H, Herrera-Viedma E (2017) A visual interaction consensus model for social network group decision making with trust propagation. Knowl Based Syst 122:39–50CrossRef
Wu ZB, Xu JP (2012) Consensus reaching models of linguistic preference relations based on distance functions. Soft Comput 16:577–589CrossRefMATH
Xia MM, Xu ZS, Wang Z (2014) Multiplicative consistency-based decision support system for incomplete linguistic preference relations. Int J Syst Sci 45:625–636MathSciNetCrossRefMATH
Xu YJ, Gupta JND, Wang HM (2014a) The ordinal consistency of an incomplete reciprocal preference relation. Fuzzy Sets Syst 246:62–77MathSciNetCrossRefMATH
Xu YJ, Li KW, Wang HM (2013a) Distance-based consensus models for fuzzy and multiplicative preference relations. Inf Sci 253:56–73MathSciNetCrossRefMATH
Xu YJ, Li KW, Wang HM (2014b) Consistency test and weight generation for additive interval fuzzy preference relations. Soft Comput 18:1499–1513CrossRefMATH
Xu YJ, Ma F, Tao FF, Wang HM (2014c) Some methods to deal with unacceptable incomplete 2-tuple fuzzy linguistic preference relations in group decision making. Knowl Based Syst 56:179–190CrossRef
Xu ZS (2005) Deviation measures of linguistic preference relations in group decision making. Omega Int J Manag Sci 33:249–254CrossRef
Zadeh LA (1975) The concept of a linguistic variable and its applications to approximate reasoning—part I. Inf Sci 8:199–249CrossRefMATH
Zadeh LA (1975) The concept of a linguistic variable and its applications to approximate reasoning–part II. Inf Sci 9:301–357CrossRefMATH
Zadeh LA (1975) The concept of a linguistic variable and its applications to approximate reasoning–part III. Inf Sci 9:43–80CrossRefMATH
Zadeh LA (1996) Fuzzy logic= computing with words. IEEE Trans Fuzzy Syst 4:103–111CrossRef
Zhang HJ, Dong YC, Herrera-Viedma E (2017) Consensus building for the heterogeneous large-scale GDM with the individual concerns and satisfactions. IEEE Trans Fuzzy Syst. doi:10.​1109/​TFUZZ.​2017.​2697403
Metadaten
Titel
Distance-based nonlinear programming models to identify and adjust inconsistencies for linguistic preference relations
verfasst von
Yejun Xu
Cuiping Wei
Hao Sun
Publikationsdatum
07.06.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 14/2018
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-017-2671-y

Weitere Artikel der Ausgabe 14/2018

Soft Computing 14/2018 Zur Ausgabe

Methodologies and Application

A new method to evaluate risk in failure mode and effects analysis under fuzzy information

Methodologies and Application

Unsupervised classification of erroneous video object trajectories

Methodologies and Application

Solving fully interval linear systems of equations using tolerable solution criteria

Methodologies and Application

Fuzzy heaping mechanism for heaped count data with imprecision

Foundations

Approximate bisimulation relations for fuzzy automata

Methodologies and Application

Qualitative modeling of catastrophe in group opinion