Skip to main content
Erschienen in: Soft Computing 22/2019

04.01.2019 | Methodologies and Application

Some q-rung orthopair fuzzy point weighted aggregation operators for multi-attribute decision making

verfasst von: Yuping Xing, Runtong Zhang, Zhen Zhou, Jun Wang

Erschienen in: Soft Computing | Ausgabe 22/2019

Einloggen

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

search-config
loading …

Abstract

q-Rung orthopair fuzzy sets, originally proposed by Yager, can dynamically adjust the range of indication of decision information by changing a parameter q based on the different hesitation degree, and point operator is a useful aggregation technology that can control the uncertainty of valuating data from some experts and thus get intensive information in the process of decision making. However, the existing point operators are not available for decision-making problems under q-Rung orthopair fuzzy environment. Thus, in this paper, we firstly propose some new point operators to make it conform to q-rung orthopair fuzzy numbers (q-ROFNs). Then, associated with classic arithmetic and geometric operators, we propose a new class of point weighted aggregation operators to aggregate q-rung orthopair fuzzy information. These proposed operators can redistribute the membership and non-membership in q-ROFNs according to different principle. Furthermore, based on these operators, a novel approach to multi-attribute decision making (MADM) in q-rung orthopair fuzzy context is introduced. Finally, we give a practical example to illustrate the applicability of the new approach. The experimental results show that the novel MADM method outperforms the existing MADM methods for dealing with MADM 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!

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!

Literatur
Zurück zum Zitat Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96CrossRef Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96CrossRef
Zurück zum Zitat Garg H (2016a) A new generalized improved score function of interval-valued intuitionistic fuzzy sets and applications in expert systems. Appl Soft Comput 38:988–999CrossRef Garg H (2016a) A new generalized improved score function of interval-valued intuitionistic fuzzy sets and applications in expert systems. Appl Soft Comput 38:988–999CrossRef
Zurück zum Zitat Garg H (2016b) Generalized intuitionistic fuzzy interactive geometric interaction operators using Einstein t-norm and t-conorm and their application to decision making. Comput Ind Eng 101:53–69CrossRef Garg H (2016b) Generalized intuitionistic fuzzy interactive geometric interaction operators using Einstein t-norm and t-conorm and their application to decision making. Comput Ind Eng 101:53–69CrossRef
Zurück zum Zitat Garg H (2016c) Generalized intuitionistic fuzzy multiplicative interactive geometric operators and their application to multiple criteria decision making. Int J Mach Learn Cybern 7(6):1075–1092CrossRef Garg H (2016c) Generalized intuitionistic fuzzy multiplicative interactive geometric operators and their application to multiple criteria decision making. Int J Mach Learn Cybern 7(6):1075–1092CrossRef
Zurück zum Zitat Garg H (2016d) A new generalized Pythagorean fuzzy information aggregation using Einstein operations and its application to decision making. Int J Intell Syst 31(9):886–920CrossRef Garg H (2016d) A new generalized Pythagorean fuzzy information aggregation using Einstein operations and its application to decision making. Int J Intell Syst 31(9):886–920CrossRef
Zurück zum Zitat Garg H (2016e) A novel accuracy function under interval-valued Pythagorean fuzzy environment for solving multi-criteria decision making problem. J Intell Fuzzy Syst 31(1):529–540CrossRef Garg H (2016e) A novel accuracy function under interval-valued Pythagorean fuzzy environment for solving multi-criteria decision making problem. J Intell Fuzzy Syst 31(1):529–540CrossRef
Zurück zum Zitat Garg H (2017a) Generalized Pythagorean fuzzy geometric aggregation operators using Einstein t-norm and t-conorm for multi-criteria decision making process. Int J Intell Syst 32(6):597–630CrossRef Garg H (2017a) Generalized Pythagorean fuzzy geometric aggregation operators using Einstein t-norm and t-conorm for multi-criteria decision making process. Int J Intell Syst 32(6):597–630CrossRef
Zurück zum Zitat Garg H (2017b) A new improved score function of an interval-valued Pythagorean fuzzy set based TOPSIS method. Int J Uncertain Quantif 7(5):463–474CrossRef Garg H (2017b) A new improved score function of an interval-valued Pythagorean fuzzy set based TOPSIS method. Int J Uncertain Quantif 7(5):463–474CrossRef
Zurück zum Zitat Garg H (2018a) Some methods for strategic decision-making problems with immediate probabilities in Pythagorean fuzzy environment. Int J Intell Syst 33(4):687–712CrossRef Garg H (2018a) Some methods for strategic decision-making problems with immediate probabilities in Pythagorean fuzzy environment. Int J Intell Syst 33(4):687–712CrossRef
Zurück zum Zitat Garg H (2018c) New exponential operational laws and their aggregation operators for interval-valued pythagorean fuzzy multi-criteria decision-making. Int J Intell Syst 33(3):653–683CrossRef Garg H (2018c) New exponential operational laws and their aggregation operators for interval-valued pythagorean fuzzy multi-criteria decision-making. Int J Intell Syst 33(3):653–683CrossRef
Zurück zum Zitat Garg H (2018d) Linguistic Pythagorean fuzzy sets and its applications in multi attribute decision making process. Int J Intell Syst 33(6):1234–1263CrossRef Garg H (2018d) Linguistic Pythagorean fuzzy sets and its applications in multi attribute decision making process. Int J Intell Syst 33(6):1234–1263CrossRef
Zurück zum Zitat Garg H (2018e) Hesitant Pythagorean fuzzy sets and their aggregation operators in multiple-attribute decision-making. Int J Uncertain Quantif 8(3):267–289MathSciNetCrossRef Garg H (2018e) Hesitant Pythagorean fuzzy sets and their aggregation operators in multiple-attribute decision-making. Int J Uncertain Quantif 8(3):267–289MathSciNetCrossRef
Zurück zum Zitat Garg H (2018f) A linear programming method based on an improved score function for interval-valued Pythagorean fuzzy numbers and its application to decision-making. Int J Uncertain Fuzziness Knowl-Based Syst 29(1):67–80MathSciNetCrossRef Garg H (2018f) A linear programming method based on an improved score function for interval-valued Pythagorean fuzzy numbers and its application to decision-making. Int J Uncertain Fuzziness Knowl-Based Syst 29(1):67–80MathSciNetCrossRef
Zurück zum Zitat He YD, Chen HY, He Z, Zhou LG (2015) Multi-attribute decision making based on neutral averaging operators for intuitionistic fuzzy information. Appl Soft Comput 27:64–76CrossRef He YD, Chen HY, He Z, Zhou LG (2015) Multi-attribute decision making based on neutral averaging operators for intuitionistic fuzzy information. Appl Soft Comput 27:64–76CrossRef
Zurück zum Zitat He YD, He Z, Huang H (2017) Decision making with the generalized intuitionistic fuzzy power interaction averaging operators. Soft Comput 21(5):1129–1144CrossRef He YD, He Z, Huang H (2017) Decision making with the generalized intuitionistic fuzzy power interaction averaging operators. Soft Comput 21(5):1129–1144CrossRef
Zurück zum Zitat Ju YB, Liu XY, Ju DW (2016) Some new intuitionistic linguistic aggregation operators based on Maclaurin symmetric mean and their applications to multiple attribute group decision making. Soft Comput 20(11):4521–4548CrossRef Ju YB, Liu XY, Ju DW (2016) Some new intuitionistic linguistic aggregation operators based on Maclaurin symmetric mean and their applications to multiple attribute group decision making. Soft Comput 20(11):4521–4548CrossRef
Zurück zum Zitat Khaleie S, Fasanghari M (2012) An intuitionistic fuzzy group decision making method using entropy and association coefficient. Soft Comput 16(7):1197–1211CrossRef Khaleie S, Fasanghari M (2012) An intuitionistic fuzzy group decision making method using entropy and association coefficient. Soft Comput 16(7):1197–1211CrossRef
Zurück zum Zitat Le HS (2016) Generalized picture distance measure and applications to picture fuzzy clustering. Appl Soft Comput 46:284–295CrossRef Le HS (2016) Generalized picture distance measure and applications to picture fuzzy clustering. Appl Soft Comput 46:284–295CrossRef
Zurück zum Zitat Liang DC, Xu ZS, Darko AP (2017) Projection model for fusing the information of Pythagorean fuzzy multi-criteria group decision making based on geometric Bonferroni mean. Int J Intell Syst 32(9):966–987CrossRef Liang DC, Xu ZS, Darko AP (2017) Projection model for fusing the information of Pythagorean fuzzy multi-criteria group decision making based on geometric Bonferroni mean. Int J Intell Syst 32(9):966–987CrossRef
Zurück zum Zitat Liu PD, Li DF (2017) Some Muirhead mean operators for intuitionistic fuzzy numbers and their applications to group decision making. PLoS ONE 12(1):e0168767CrossRef Liu PD, Li DF (2017) Some Muirhead mean operators for intuitionistic fuzzy numbers and their applications to group decision making. PLoS ONE 12(1):e0168767CrossRef
Zurück zum Zitat Liu PD, Liu JL (2017) Some q-rung orthopai fuzzy Bonferroni mean operators and their application to multi-attribute group decision making. Int J Intell Syst 33(2):315–347MathSciNetCrossRef Liu PD, Liu JL (2017) Some q-rung orthopai fuzzy Bonferroni mean operators and their application to multi-attribute group decision making. Int J Intell Syst 33(2):315–347MathSciNetCrossRef
Zurück zum Zitat Liu HW, Wang GJ (2007) Multi-criteria decision-making methods based on intuitionistic fuzzy sets. Eur J Oper Res 179:220–233CrossRef Liu HW, Wang GJ (2007) Multi-criteria decision-making methods based on intuitionistic fuzzy sets. Eur J Oper Res 179:220–233CrossRef
Zurück zum Zitat Liu PD, Wang P (2017) Some q-rung orthopair fuzzy aggregation operators and their applications to multi-attribute group decision making. Int J Intell Syst 33(2):259–280CrossRef Liu PD, Wang P (2017) Some q-rung orthopair fuzzy aggregation operators and their applications to multi-attribute group decision making. Int J Intell Syst 33(2):259–280CrossRef
Zurück zum Zitat Liu PD, Chen SM, Liu J (2017) Some intuitionistic fuzzy interaction partitioned Bonferroni mean operators and their application to multi-attribute group decision making. Inf Sci 411:98–121CrossRef Liu PD, Chen SM, Liu J (2017) Some intuitionistic fuzzy interaction partitioned Bonferroni mean operators and their application to multi-attribute group decision making. Inf Sci 411:98–121CrossRef
Zurück zum Zitat Ma ZM, Xu ZS (2016) Symmetric Pythagorean fuzzy weighted geometric/averaging operators and their application in multi-criteria decision making problems. Int J Intell Syst 31(12):1198–1219CrossRef Ma ZM, Xu ZS (2016) Symmetric Pythagorean fuzzy weighted geometric/averaging operators and their application in multi-criteria decision making problems. Int J Intell Syst 31(12):1198–1219CrossRef
Zurück zum Zitat Mohammadi SE, Makui A (2017) Multi-attribute group decision making approach based on interval-valued intuitionistic fuzzy sets and evidential reasoning methodology. Soft Comput 21:5061–5080CrossRef Mohammadi SE, Makui A (2017) Multi-attribute group decision making approach based on interval-valued intuitionistic fuzzy sets and evidential reasoning methodology. Soft Comput 21:5061–5080CrossRef
Zurück zum Zitat Peng XD, Yuan HY (2016) Fundamental properties of Pythagorean fuzzy aggregation operators. Fund Inform 147(4):415–446MathSciNetCrossRef Peng XD, Yuan HY (2016) Fundamental properties of Pythagorean fuzzy aggregation operators. Fund Inform 147(4):415–446MathSciNetCrossRef
Zurück zum Zitat Peng XD, Dai JG, Garg H (2018) Exponential operation and aggregation operator for q-rung orthopair fuzzy set and their decision-making method with a new score function. Int J Intell Syst 33(11):2255–2282CrossRef Peng XD, Dai JG, Garg H (2018) Exponential operation and aggregation operator for q-rung orthopair fuzzy set and their decision-making method with a new score function. Int J Intell Syst 33(11):2255–2282CrossRef
Zurück zum Zitat Wan SP, Yi ZH (2016) Power average of trapezoidal intuitionistic fuzzy numbers using strict t-norms and t-conorms. IEEE Trans Fuzzy Syst 24(5):1035–1047CrossRef Wan SP, Yi ZH (2016) Power average of trapezoidal intuitionistic fuzzy numbers using strict t-norms and t-conorms. IEEE Trans Fuzzy Syst 24(5):1035–1047CrossRef
Zurück zum Zitat Xia MM (2015) Point operators for intuitionistic multiplicative information. J Intell Fuzzy Syst 28:615–620MathSciNetMATH Xia MM (2015) Point operators for intuitionistic multiplicative information. J Intell Fuzzy Syst 28:615–620MathSciNetMATH
Zurück zum Zitat Xia MM, Xu ZS (2010) Generalized point operators for aggregating intuitionistic fuzzy information. Int J Intell Syst 25(11):1061–1080MATH Xia MM, Xu ZS (2010) Generalized point operators for aggregating intuitionistic fuzzy information. Int J Intell Syst 25(11):1061–1080MATH
Zurück zum Zitat Xing YP, Zhang RT, Xia MM, Wang J (2017) Generalized point aggregation operators for dual hesitant fuzzy information. J Intell Fuzzy Syst 33(1):515–527CrossRef Xing YP, Zhang RT, Xia MM, Wang J (2017) Generalized point aggregation operators for dual hesitant fuzzy information. J Intell Fuzzy Syst 33(1):515–527CrossRef
Zurück zum Zitat Xu ZS (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15(6):1179–1187CrossRef Xu ZS (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15(6):1179–1187CrossRef
Zurück zum Zitat Yager RR (2014) Pythagorean membership grades in multi-criteria decision making. IEEE Trans Fuzzy Syst 22(4):958–965CrossRef Yager RR (2014) Pythagorean membership grades in multi-criteria decision making. IEEE Trans Fuzzy Syst 22(4):958–965CrossRef
Zurück zum Zitat Yager RR (2018) Generalized orthopair fuzzy sets. IEEE Trans Fuzzy Syst 26(5):1222–1230CrossRef Yager RR (2018) Generalized orthopair fuzzy sets. IEEE Trans Fuzzy Syst 26(5):1222–1230CrossRef
Zurück zum Zitat Yager RR, Abbasov AM (2013) Pythagorean membership grades, complex numbers, and decision making. Int J Intell Syst 28(5):436–452CrossRef Yager RR, Abbasov AM (2013) Pythagorean membership grades, complex numbers, and decision making. Int J Intell Syst 28(5):436–452CrossRef
Zurück zum Zitat Yager RR, Alajlan N (2017) Approximate reasoning with generalized orthopair fuzzy sets. Inform Fusion 38:65–73CrossRef Yager RR, Alajlan N (2017) Approximate reasoning with generalized orthopair fuzzy sets. Inform Fusion 38:65–73CrossRef
Zurück zum Zitat Zhang X (2016) Multicriteria Pythagorean fuzzy decision analysis: a hierarchical QUALIFLEX approach with the closeness index-based ranking methods. Inf Sci 330:104–124CrossRef Zhang X (2016) Multicriteria Pythagorean fuzzy decision analysis: a hierarchical QUALIFLEX approach with the closeness index-based ranking methods. Inf Sci 330:104–124CrossRef
Metadaten
Titel
Some q-rung orthopair fuzzy point weighted aggregation operators for multi-attribute decision making
verfasst von
Yuping Xing
Runtong Zhang
Zhen Zhou
Jun Wang
Publikationsdatum
04.01.2019
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 22/2019
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-018-03712-7

Weitere Artikel der Ausgabe 22/2019

Soft Computing 22/2019 Zur Ausgabe