Skip to main content
Erschienen in: Neural Computing and Applications 7-8/2014

01.12.2014 | Original Article

Multiple attribute decision-making method based on single-valued neutrosophic normalized weighted Bonferroni mean

verfasst von: Peide Liu, Yumei Wang

Erschienen in: Neural Computing and Applications | Ausgabe 7-8/2014

Einloggen

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

search-config
loading …

Abstract

In this paper, we proposed a single-valued neutrosophic normalized weighted Bonferroni mean (SVNNWBM) operator on the basis of Bonferroni mean, the weighted Bonferroni mean (WBM), and the normalized WBM. Firstly, the definition, operational laws, characteristics, and comparing method of single-valued neutrosophic numbers (SVNNs) are introduced. Then, the SVNNWBM operator is developed, and some properties and special cases of this operator are analyzed. Furthermore, an approach is developed to solve the multiple attribute decision-making problems with SVNNs based on the SVNNWBM operator. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

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!

Literatur
2.
Zurück zum Zitat Beliakov G, Simon J (2013) On extending generalized Bonferroni means to Atanassov orthopairs in decision making contexts. Fuzzy Sets Syst 211(1):84–98CrossRefMATH Beliakov G, Simon J (2013) On extending generalized Bonferroni means to Atanassov orthopairs in decision making contexts. Fuzzy Sets Syst 211(1):84–98CrossRefMATH
4.
Zurück zum Zitat Chu TC (2002) A fuzzy number interval arithmetic based fuzzy MCDM algorithm. Int J Fuzzy Syst 4:867–872MathSciNet Chu TC (2002) A fuzzy number interval arithmetic based fuzzy MCDM algorithm. Int J Fuzzy Syst 4:867–872MathSciNet
5.
Zurück zum Zitat Li DF (2011) The GOWA operator based approach to multi-attribute decision making using intuitionistic fuzzy sets. Math Comput Model 53:1182–1196CrossRefMATH Li DF (2011) The GOWA operator based approach to multi-attribute decision making using intuitionistic fuzzy sets. Math Comput Model 53:1182–1196CrossRefMATH
6.
Zurück zum Zitat Liu PD (2014) Some Hamacher aggregation operators based on the interval-valued intuitionistic fuzzy numbers and their application to Group Decision Making. IEEE Trans Fuzzy Syst 22(1):83–97CrossRef Liu PD (2014) Some Hamacher aggregation operators based on the interval-valued intuitionistic fuzzy numbers and their application to Group Decision Making. IEEE Trans Fuzzy Syst 22(1):83–97CrossRef
7.
Zurück zum Zitat Liu PD, Chen YB, Chu YC (2014) Intuitionistic uncertain linguistic weighted Bonferroni OWA operator and its application to multiple attribute decision making. Cybern Syst 45(5):418–438CrossRef Liu PD, Chen YB, Chu YC (2014) Intuitionistic uncertain linguistic weighted Bonferroni OWA operator and its application to multiple attribute decision making. Cybern Syst 45(5):418–438CrossRef
8.
Zurück zum Zitat Liu PD, Jin F (2012) Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making. Inf Sci 205:58–71CrossRefMATHMathSciNet Liu PD, Jin F (2012) Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making. Inf Sci 205:58–71CrossRefMATHMathSciNet
9.
Zurück zum Zitat Liu PD, Jin F (2012) The trapezoid fuzzy linguistic Bonferroni mean operators and their application to multiple attribute decision making. Sci Iran Trans E 19(6):1947–1959CrossRef Liu PD, Jin F (2012) The trapezoid fuzzy linguistic Bonferroni mean operators and their application to multiple attribute decision making. Sci Iran Trans E 19(6):1947–1959CrossRef
10.
Zurück zum Zitat Liu PD, Rong LL, Chu YC, Li YW (2014) Intuitionistic linguistic weighted Bonferroni mean operator and its application to multiple attribute decision making. Sci World J 2014:1–13 Liu PD, Rong LL, Chu YC, Li YW (2014) Intuitionistic linguistic weighted Bonferroni mean operator and its application to multiple attribute decision making. Sci World J 2014:1–13
11.
Zurück zum Zitat Robinson A (1966) Non-standard analysis. North-Holland Pub. Co, AmsterdamMATH Robinson A (1966) Non-standard analysis. North-Holland Pub. Co, AmsterdamMATH
12.
Zurück zum Zitat Smarandache F (1998) Neutrosophy/neutrosophic probability, set, and logic. American Research Press, RehobothMATH Smarandache F (1998) Neutrosophy/neutrosophic probability, set, and logic. American Research Press, RehobothMATH
13.
Zurück zum Zitat Smarandache F (1999) A unifying field in logics. neutrosophy: neutrosophic probability, set and logic. American Research Press, Rehoboth Smarandache F (1999) A unifying field in logics. neutrosophy: neutrosophic probability, set and logic. American Research Press, Rehoboth
14.
Zurück zum Zitat Wang H, Smarandache F, Zhang Y, Sunderraman R (2005) Single valued neutrosophic sets, Proceedings of 10th 476 International Conference on Fuzzy Theory and Technology, Salt Lake City, 477 Utah Wang H, Smarandache F, Zhang Y, Sunderraman R (2005) Single valued neutrosophic sets, Proceedings of 10th 476 International Conference on Fuzzy Theory and Technology, Salt Lake City, 477 Utah
15.
Zurück zum Zitat Wang H, Smarandache F, Zhang YQ et al (2005) Interval neutrosophic sets and logic: Theory and applications in computing. Hexis, Phoenix Wang H, Smarandache F, Zhang YQ et al (2005) Interval neutrosophic sets and logic: Theory and applications in computing. Hexis, Phoenix
16.
Zurück zum Zitat Wei GW (2010) Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making. Appl Soft Comput 10:423–431CrossRef Wei GW (2010) Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making. Appl Soft Comput 10:423–431CrossRef
17.
Zurück zum Zitat Xu ZS (2002) Study on method for triangular fuzzy number-based multi-attribute decision making with preference information on alternatives. Syst Eng Electron 24:9–12 Xu ZS (2002) Study on method for triangular fuzzy number-based multi-attribute decision making with preference information on alternatives. Syst Eng Electron 24:9–12
18.
Zurück zum Zitat Xu ZS, Yager RR (2011) Intuitionistic fuzzy Bonferroni Means, IEEE transactions on systems, man, and cybernetics—part B. Cybernetics 41:568–578 Xu ZS, Yager RR (2011) Intuitionistic fuzzy Bonferroni Means, IEEE transactions on systems, man, and cybernetics—part B. Cybernetics 41:568–578
19.
Zurück zum Zitat Ye J (2013) Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment. Int J Gen Syst 42(4):386–394CrossRefMATHMathSciNet Ye J (2013) Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment. Int J Gen Syst 42(4):386–394CrossRefMATHMathSciNet
20.
Zurück zum Zitat Ye J (2014) Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making. J Intel Fuzzy Syst 26(1):165–172 Ye J (2014) Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making. J Intel Fuzzy Syst 26(1):165–172
21.
Zurück zum Zitat Ye J (2014) A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets. J Intel Fuzzy Syst 26(5):2459–2466 Ye J (2014) A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets. J Intel Fuzzy Syst 26(5):2459–2466
22.
Zurück zum Zitat Yue ZL (2011) Deriving decision maker’s weights based on distance measure for interval-valued intuitionistic fuzzy group decision making. Expert Syst Appl 38:11665–11670CrossRef Yue ZL (2011) Deriving decision maker’s weights based on distance measure for interval-valued intuitionistic fuzzy group decision making. Expert Syst Appl 38:11665–11670CrossRef
24.
Zurück zum Zitat Zhou W, He JM (2012) Intuitionistic fuzzy normalized weighted Bonferroni mean and its application in multicriteria decision making. J Appl Mat 2012:1–22 Zhou W, He JM (2012) Intuitionistic fuzzy normalized weighted Bonferroni mean and its application in multicriteria decision making. J Appl Mat 2012:1–22
Metadaten
Titel
Multiple attribute decision-making method based on single-valued neutrosophic normalized weighted Bonferroni mean
verfasst von
Peide Liu
Yumei Wang
Publikationsdatum
01.12.2014
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 7-8/2014
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-014-1688-8

Weitere Artikel der Ausgabe 7-8/2014

Neural Computing and Applications 7-8/2014 Zur Ausgabe