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 6/2010

01.04.2010 | Original Paper

On the priority vector associated with a reciprocal relation and a pairwise comparison matrix

verfasst von: Michele Fedrizzi, Matteo Brunelli

Erschienen in: Soft Computing | Ausgabe 6/2010

Einloggen

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

search-config
loading …

Abstract

We propose two straightforward methods for deriving the priority vector associated with a reciprocal relation, by some authors called fuzzy preference relation. Then, using transformations between pairwise comparison matrices and reciprocal relations, we study the relationships between the priority vectors associated with these two types of preference relations. Eventually, we show a brief example involving the newly introduced characterizations.
Vorheriger Artikel Adaptive output recurrent cerebellar model articulation controller for nonlinear system control
Nächster Artikel A novel high-speed neural model for fast pattern recognition

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
Barzilai J (1998) Consistency measures for pairwise comparison matrices. J Multi–Crit Decis Anal 7:123–132MATHCrossRef
Chiclana F, Herrera F, Herrera-Viedma E (1998) Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations. Fuzzy Sets Syst 97:33–48MATHCrossRefMathSciNet
Chiclana F, Herrera F, Herrera-Viedma E (2001) Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations. Fuzzy Sets Syst 122:277–291MATHCrossRefMathSciNet
Chiclana F, Herrera F, Herrera-Viedma E (2002) A note on the internal consistency of various preference representations. Fuzzy Sets Syst 131:75–78MATHCrossRefMathSciNet
Crawford G, Williams C (1985) A note on the analysis of subjective judgement matrices. J Math Psychol 29:25–40CrossRef
De Baets B, De Meyer H (2005) Transitivity frameworks for reciprocal relations: cycle-transitivity versus FG-transitivity. Fuzzy Sets Syst 152:249–270MATHCrossRefMathSciNet
De Baets B, De Meyer H, De Schuymer B, Jenei S (2006) Cyclic evaluation of transitivity of reciprocal relations. Soc Choice Welf 26:217–238MATHCrossRefMathSciNet
Fan Z-P, Ma J, Zhang Q (2002) An approach to multiple attribute decision making based on fuzzy preference information on alternatives. Fuzzy Sets Syst 131:101–106MATHCrossRefMathSciNet
Fan Z-P, Hu G-F, Xiao S-H (2004) A method for multiple attribute decision-making with the fuzzy preference relation on alternatives. Comput Ind Eng 46:321–327CrossRef
Fan Z-P, Ma J, Jiang Y-P, Sun Y-H, Ma L (2006) A goal programming approach to group decision making based on multiplicative preference relations and fuzzy preference relations. Eur J Oper Res 174:311–321MATHCrossRef
Fedrizzi M (1990) On a consensus measure in a group MCDM problem. In Kacprzyk J, Fedrizzi M (eds) Multiperson decision making models using fuzzy sets and possibility theory. Kluwer, Dortrecht, pp 231–141
Fodor J, Roubens M (1994) Fuzzy preference modelling and multicriteria decision analysis. Kluwer, Dortrecht
Gong Z-W (2008) Least-square method to priority of the fuzzy preference relations with incomplete information. Int J Approx Reason 47:258–264CrossRef
Herrera-Viedma E, Chiclana F, Herrera F, Alonso S (2007) Group decision-making model with incomplete fuzzy preference relations based on additive consistency. IEEE Trans Syst Man Cybern B 37:176–189CrossRef
Herrera-Viedma E, Alonso S, Chiclana F, Herrera F (2007) A consensus model for group decision making with incomplete fuzzy preference relations. IEEE Trans Fuzzy Syst 15:863–877CrossRef
Lee H-S (2006) A fuzzy method for evaluating suppliers. In: Wang L et al (eds) FSKD, LNAI 4223. Springer, Berlin, pp 1035–1043
Lee H-S, Tseng W-K (2006) Goal programming methods for constructing additive consistency fuzzy preference relations. In: Gabrys B et al (eds) KES 2006, Part II, LNAI 4252. Springer, Berlin, pp 910–916
Lee H-S, Yeh C-H (2008) Fuzzy multi-criteria decision making based on fuzzy preference relation. In: Lovrek I et al (eds) KES 2008, Part II, LNAI 5178. Springer, Berlin, pp 980–985
Lee H-S, Shen P-D, Chyr W-L (2008) Prioritization of incomplete fuzzy preference relation. In: Lovrek I et al (eds) KES 2008, Part II, LNAI 5178. Springer, Berlin, pp 974–979
Lin C-C (2007) A revised framework for deriving preference values from pairwise comparison matrices. Eur J Oper Res 176:1145–1150MATHCrossRef
Lipovetsky S, Conklin MW (2002) Robust estimation of priorities in AHP. Eur J Oper Res 137:110–122MATHCrossRef
Ma J, Fan Z-P, Jiang Y-P, Mao J-Y, Ma L (2006) A method for repairing the inconsistency of fuzzy preference relations. Fuzzy Sets Syst 157:20–33MATHCrossRefMathSciNet
Xu ZS (2004) Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation. Int J Approx Reason 36:261–270MATHCrossRef
Xu ZS (2005) A procedure for decision making based on incomplete fuzzy preference relation. Fuzzy Optim Decis Making 4:175–189MATHCrossRef
Xu ZS (2007) Multiple-attribute group decision making with different formats of preference information on attributes. IEEE Trans Syst Man Cybern B 37:1500–1511CrossRef
Xu ZS, Chen J (2007) A subjective and objective integrated method for MAGDM problems with multiple types of exact preference formats. IDEAL 2007, pp 145–154
Xu ZS, Chen J (2008a) Group decision-making procedure based on incomplete reciprocal relations. Soft Comput 12:515–521MATHCrossRef
Xu ZS, Chen J (2008b) MAGDM linear-programming models with distinct uncertain preference structures. IEEE Trans Syst Man Cybern B 38:1356–1370CrossRef
Xu ZS, Da QL (2005) A least deviation method to obtain a priority vector of a fuzzy preference relation. Eur J Oper Res 164:206–216MATHCrossRef
Wang Y-M, Fan Z-P (2007) Group decision analysis based on fuzzy preference relations: logarithmic and geometric least squares methods. Appl Math Comput 194:108–119CrossRefMathSciNet
Wang Y-M, Parkan C (2005) Multiple attribute decision making based on fuzzy preference information on alternatives: ranking and weighting. Fuzzy Sets Syst 153:331–346MATHMathSciNet
Wang Y-M, Fan Z-P, Hua Z (2007) A chi-square method for obtaining a priority vector from multiplicative and fuzzy preference relations. Eur J Oper Res 182:356–366MATHCrossRef
Metadaten
Titel
On the priority vector associated with a reciprocal relation and a pairwise comparison matrix
verfasst von
Michele Fedrizzi
Matteo Brunelli
Publikationsdatum
01.04.2010
Verlag
Springer-Verlag
Erschienen in
Soft Computing / Ausgabe 6/2010
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-009-0432-2

Weitere Artikel der Ausgabe 6/2010

Soft Computing 6/2010 Zur Ausgabe

Original Paper

Human face recognition using fuzzy multilayer perceptron

Original Paper

A novel high-speed neural model for fast pattern recognition

Original Paper

Multiobjective evolutionary clustering of Web user sessions: a case study in Web page recommendation

Original Paper

Designing multilayer perceptrons using a Guided Saw-tooth Evolutionary Programming Algorithm

Original Paper

Numerical solution of fuzzy relational equations based on smooth fuzzy norms

Original Paper

IF-topologies and IF-automata