Skip to main content
Erschienen in: Granular Computing 4/2021

04.09.2020 | Original Paper

Induced generalized pythagorean fuzzy aggregation operators and their application based on t-norm and t-conorm

verfasst von: K. Rahman, S. Abdullah, F. Hussain

Erschienen in: Granular Computing | Ausgabe 4/2021

Einloggen

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

search-config
loading …

Abstract

In this paper, we present some new operators, namely induced Pythagorean fuzzy Einstein ordered weighted geometric operator, induced Pythagorean fuzzy Einstein hybrid geometric operator, induced generalized Pythagorean fuzzy Einstein ordered weighted geometric operator, induced generalized Pythagorean fuzzy Einstein hybrid geometric operator. Moreover, these operators are applied to decision-making, in which the specialists of the problems deliver their favorites to display the practicality, and value of the new presented work. We also study the applicability in a decision-making concerning strategic choice of the best information system and give an example to show the effectiveness of the developed methods.

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 "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"

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 Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96MATH Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96MATH
Zurück zum Zitat Chen SM, Chang CH (2016) Fuzzy multiattribute decision making based on transformation techniques of intuitionistic fuzzy values and intuitionistic fuzzy geometric averaging operators. Inf Sci 352:133–149MATH Chen SM, Chang CH (2016) Fuzzy multiattribute decision making based on transformation techniques of intuitionistic fuzzy values and intuitionistic fuzzy geometric averaging operators. Inf Sci 352:133–149MATH
Zurück zum Zitat Chen SM, Chen SW (2014) Fuzzy forecasting based on two-factors second-order fuzzy-trend logical relationship groups and the probabilities of trends of fuzzy logical relationships. IEEE Trans Cybern 45(3):391–403 Chen SM, Chen SW (2014) Fuzzy forecasting based on two-factors second-order fuzzy-trend logical relationship groups and the probabilities of trends of fuzzy logical relationships. IEEE Trans Cybern 45(3):391–403
Zurück zum Zitat Chen SM, Wang NY (2010) Fuzzy forecasting based on fuzzy-trend logical relationship groups. IEEE Trans Syst Man Cybern Part B Cybern 40(5):1343–1358 Chen SM, Wang NY (2010) Fuzzy forecasting based on fuzzy-trend logical relationship groups. IEEE Trans Syst Man Cybern Part B Cybern 40(5):1343–1358
Zurück zum Zitat Chen SM, Ko YK, Chang YC, Pan JS (2009) Weighted fuzzy interpolative reasoning based on weighted increment transformation and weighted ratio transformation techniques. IEEE Trans Fuzzy Syst 17(6):1412–1427 Chen SM, Ko YK, Chang YC, Pan JS (2009) Weighted fuzzy interpolative reasoning based on weighted increment transformation and weighted ratio transformation techniques. IEEE Trans Fuzzy Syst 17(6):1412–1427
Zurück zum Zitat Chen SM, Chu HP, Sheu TW (2012) TAIEX forecasting using fuzzy time series and automatically generated weights of multiple factors. IEEE Trans Syst Man Cybern Part A Syst Hum 42(6):1485–1495 Chen SM, Chu HP, Sheu TW (2012) TAIEX forecasting using fuzzy time series and automatically generated weights of multiple factors. IEEE Trans Syst Man Cybern Part A Syst Hum 42(6):1485–1495
Zurück zum Zitat Chen SM, Cheng SH, Lan TC (2016) Multicriteria decision making based on the TOPSIS method and similarity measures between intuitionistic fuzzy values. Inf Sci 367:279–295 Chen SM, Cheng SH, Lan TC (2016) Multicriteria decision making based on the TOPSIS method and similarity measures between intuitionistic fuzzy values. Inf Sci 367:279–295
Zurück zum Zitat Garg H (2016a) Generalized pythagorean fuzzy geometric aggregation operators using Einstein t-norm and t-Conorm for multicriteria decision-making process. Int J Intell Syst 32(6):597–630 Garg H (2016a) Generalized pythagorean fuzzy geometric aggregation operators using Einstein t-norm and t-Conorm for multicriteria decision-making process. Int J Intell Syst 32(6):597–630
Zurück zum Zitat Garg H (2016b) A new generalized pythagorean fuzzy information aggregation using einstein operations and its application to decision making. Int J Intell Syst 31(9):886–920 Garg H (2016b) A new generalized pythagorean fuzzy information aggregation using einstein operations and its application to decision making. Int J Intell Syst 31(9):886–920
Zurück zum Zitat Garg H (2018a) Some robust improved geometric aggregation operators under interval-valued intuitionistic fuzzy environment for multi-criteria decision-making process. J Ind Manag Optim 14(1):283–308MathSciNetMATH Garg H (2018a) Some robust improved geometric aggregation operators under interval-valued intuitionistic fuzzy environment for multi-criteria decision-making process. J Ind Manag Optim 14(1):283–308MathSciNetMATH
Zurück zum Zitat Garg H (2018b) Linguistic pythagorean fuzzy sets and its applications in multi attribute decision making process. Int J Intell Syst 33(6):1234–1263 Garg H (2018b) Linguistic pythagorean fuzzy sets and its applications in multi attribute decision making process. Int J Intell Syst 33(6):1234–1263
Zurück zum Zitat Garg H, Arora R (2018a) Bonferroni mean aggregation operators under intuitionistic fuzzy soft set environment and their applications to decision-making. J Oper Res Soc 69(11):1711–1724 Garg H, Arora R (2018a) Bonferroni mean aggregation operators under intuitionistic fuzzy soft set environment and their applications to decision-making. J Oper Res Soc 69(11):1711–1724
Zurück zum Zitat Garg H, Arora R (2018b) Novel scaled prioritized intuitionistic fuzzy soft interaction averaging aggregation operators and their application to multi criteria decision making. Eng Appl Artif Intell 71:100–112 Garg H, Arora R (2018b) Novel scaled prioritized intuitionistic fuzzy soft interaction averaging aggregation operators and their application to multi criteria decision making. Eng Appl Artif Intell 71:100–112
Zurück zum Zitat Liu P, Liu J (2018) Some q-Rung orthopair fuzzy bonferroni mean operators and their application to multi-attribute group decision making. Int J Intell Syst 33(2):315–347 Liu P, Liu J (2018) Some q-Rung orthopair fuzzy bonferroni mean operators and their application to multi-attribute group decision making. Int J Intell Syst 33(2):315–347
Zurück zum Zitat Liu P, Liu W (2019) Multiple-attribute group decision-making based on power Bonferroni operators of linguistic q-rung orthopair fuzzy numbers. Int J Intell Syst 34(4):652–689MathSciNet Liu P, Liu W (2019) Multiple-attribute group decision-making based on power Bonferroni operators of linguistic q-rung orthopair fuzzy numbers. Int J Intell Syst 34(4):652–689MathSciNet
Zurück zum Zitat Liu P, Wang P (2018) Some q-Rung orthopair fuzzy aggregation operators and their applications to multiple-attribute decision making. Int J Intell Syst 33(2):259–280 Liu P, Wang P (2018) Some q-Rung orthopair fuzzy aggregation operators and their applications to multiple-attribute decision making. Int J Intell Syst 33(2):259–280
Zurück zum Zitat Liu P, Wang Y (2020) Multiple attribute decision making based on q-rung orthopair fuzzy generalized Maclaurin symmetric mean operators. Inf Sci 518:181–210 Liu P, Wang Y (2020) Multiple attribute decision making based on q-rung orthopair fuzzy generalized Maclaurin symmetric mean operators. Inf Sci 518:181–210
Zurück zum Zitat Liu P, Liu P, Wang P, Zhu Baoying (2019a) An extended multiple attribute group decision making method based on q-Rung orthopair fuzzy numbers. IEEE Access 7:162050–162061 Liu P, Liu P, Wang P, Zhu Baoying (2019a) An extended multiple attribute group decision making method based on q-Rung orthopair fuzzy numbers. IEEE Access 7:162050–162061
Zurück zum Zitat Liu P, Ali Z, Mahmood T (2019b) A method to multi-attribute group decision-making problem with complex q-Rung orthopair linguistic information based on Heronian mean operators. Int J Comput Intell Syst 12(2):1465–1496 Liu P, Ali Z, Mahmood T (2019b) A method to multi-attribute group decision-making problem with complex q-Rung orthopair linguistic information based on Heronian mean operators. Int J Comput Intell Syst 12(2):1465–1496
Zurück zum Zitat Peng X, Yang Y (2015) Some results for pythagorean fuzzy sets. Int J Intell Syst 30(11):1133–1160MathSciNet Peng X, Yang Y (2015) Some results for pythagorean fuzzy sets. Int J Intell Syst 30(11):1133–1160MathSciNet
Zurück zum Zitat Rahman K, Abdullah S, Husain F, Khan MSA (2016a) Approaches to pythagorean fuzzy geometric aggregation operators. Int J Comput Sci Inf Secur 14(9):174–200 Rahman K, Abdullah S, Husain F, Khan MSA (2016a) Approaches to pythagorean fuzzy geometric aggregation operators. Int J Comput Sci Inf Secur 14(9):174–200
Zurück zum Zitat Rahman K, Abdullah S, Khan MSA, Shakeel M (2016b) Pythagorean fuzzy hybrid geometric aggregation operator and their applications to multiple attribute decision making. Int J Comput Sci Inf Secur 14(6):837–854 Rahman K, Abdullah S, Khan MSA, Shakeel M (2016b) Pythagorean fuzzy hybrid geometric aggregation operator and their applications to multiple attribute decision making. Int J Comput Sci Inf Secur 14(6):837–854
Zurück zum Zitat Rahman K, Khan MSA, Ullah M, Fahmi A (2017a) Multiple attribute group decision making for plant location selection with pythagorean fuzzy weighted geometric aggregation operator. Nucleus 54(1):66–74 Rahman K, Khan MSA, Ullah M, Fahmi A (2017a) Multiple attribute group decision making for plant location selection with pythagorean fuzzy weighted geometric aggregation operator. Nucleus 54(1):66–74
Zurück zum Zitat Rahman K, Abdullah S, Husain F, Khan MSA, Shakeel M (2017b) Pythagorean fuzzy ordered weighted geometric aggregation operator and their application to multiple attribute group decision making. J Appl Environ Biol Sci 7(4):67–83 Rahman K, Abdullah S, Husain F, Khan MSA, Shakeel M (2017b) Pythagorean fuzzy ordered weighted geometric aggregation operator and their application to multiple attribute group decision making. J Appl Environ Biol Sci 7(4):67–83
Zurück zum Zitat Rahman K, Ali A, Shakeel M, Khan MSA, Ullah M (2017c) Pythagorean fuzzy weighted averaging aggregation operator and its application to decision making theory. Nucleus 54(3):190–196 Rahman K, Ali A, Shakeel M, Khan MSA, Ullah M (2017c) Pythagorean fuzzy weighted averaging aggregation operator and its application to decision making theory. Nucleus 54(3):190–196
Zurück zum Zitat Rahman K, Khan MSA, Ullah M (2017d) New approaches to pythagorean fuzzy averaging aggregation operators. Math Lett 3(2):29–36 Rahman K, Khan MSA, Ullah M (2017d) New approaches to pythagorean fuzzy averaging aggregation operators. Math Lett 3(2):29–36
Zurück zum Zitat Rahman K, Khan MSA, Abdullah S, Husain F, Ibrar M (2017e) Some properties of pythagorean fuzzy hybrid averaging aggregation operator. J Appl Environ Biol Sci 7(2):122–133 Rahman K, Khan MSA, Abdullah S, Husain F, Ibrar M (2017e) Some properties of pythagorean fuzzy hybrid averaging aggregation operator. J Appl Environ Biol Sci 7(2):122–133
Zurück zum Zitat Rahman K, Abdullah S, Ali A, Amin F (2017f) Some induced averaging aggregation operators based on pythagorean fuzzy numbers. Math Lett 3(4):40–45 Rahman K, Abdullah S, Ali A, Amin F (2017f) Some induced averaging aggregation operators based on pythagorean fuzzy numbers. Math Lett 3(4):40–45
Zurück zum Zitat Rahman K, Abdullah S, Ahmed R, Ullah M (2017g) Pythagorean fuzzy Einstein weighted geometric aggregation operator and their application to multiple attribute group decision making. J Intell Fuzzy Syst 33(1):635–647MATH Rahman K, Abdullah S, Ahmed R, Ullah M (2017g) Pythagorean fuzzy Einstein weighted geometric aggregation operator and their application to multiple attribute group decision making. J Intell Fuzzy Syst 33(1):635–647MATH
Zurück zum Zitat Rahman K, Abdullah S, Khan MSA, Ibrar M, Husain F (2017h) Some basic operations on pythagorean fuzzy sets. J Appl Environ Biol Sci 7(1):111–119 Rahman K, Abdullah S, Khan MSA, Ibrar M, Husain F (2017h) Some basic operations on pythagorean fuzzy sets. J Appl Environ Biol Sci 7(1):111–119
Zurück zum Zitat Su Z, Xia G, Chen M (2011) Some induced intuitionistic fuzzy aggregation operators applied to multi-attribute group decision making. Int J Gen Syst 40(8):805–835MathSciNetMATH Su Z, Xia G, Chen M (2011) Some induced intuitionistic fuzzy aggregation operators applied to multi-attribute group decision making. Int J Gen Syst 40(8):805–835MathSciNetMATH
Zurück zum Zitat Tan CQ, Chen XH (2010) Intuitionistic fuzzy choquet integral operator for multi-criteria decision making. Expert Syst Appl 37(1):149–157 Tan CQ, Chen XH (2010) Intuitionistic fuzzy choquet integral operator for multi-criteria decision making. Expert Syst Appl 37(1):149–157
Zurück zum Zitat Wang W, Liu X (2011) Intuitionistic fuzzy geometric aggregation operators based on einstein operations. Int J Intell Syst 26(11):1049–1075 Wang W, Liu X (2011) Intuitionistic fuzzy geometric aggregation operators based on einstein operations. Int J Intell Syst 26(11):1049–1075
Zurück zum Zitat Wang W, Liu X, Liu L (2012) Intuitionistic fuzzy information aggregation using Einstein operations. IEEE Trans Fuzzy Syst 20(5):923–938 Wang W, Liu X, Liu L (2012) Intuitionistic fuzzy information aggregation using Einstein operations. IEEE Trans Fuzzy Syst 20(5):923–938
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(2):423–431 Wei GW (2010) Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making. Appl Soft Comput 10(2):423–431
Zurück zum Zitat Xu ZS (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15(6):1179–1187 Xu ZS (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15(6):1179–1187
Zurück zum Zitat Xu ZS, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35(4):417–433MathSciNetMATH Xu ZS, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35(4):417–433MathSciNetMATH
Zurück zum Zitat Xu Y, Li Y, Wang H (2013) The induced intuitionistic fuzzy Einstein aggregation and its application in group decision-making. J Ind Prod Eng 30(1):2–14MathSciNet Xu Y, Li Y, Wang H (2013) The induced intuitionistic fuzzy Einstein aggregation and its application in group decision-making. J Ind Prod Eng 30(1):2–14MathSciNet
Zurück zum Zitat Yager RR (2013a) Pythagorean fuzzy subsets. In: Proceedings of joint IFSA world congress and NAFIPS annual meeting. Edmonton, pp 57–61 Yager RR (2013a) Pythagorean fuzzy subsets. In: Proceedings of joint IFSA world congress and NAFIPS annual meeting. Edmonton, pp 57–61
Zurück zum Zitat Yager RR (2013b) Pythagorean membership grades in multi-criteria decision making. IEEE Trans Fuzzy Syst 22(4):958–965 Yager RR (2013b) Pythagorean membership grades in multi-criteria decision making. IEEE Trans Fuzzy Syst 22(4):958–965
Zurück zum Zitat Yager RR, Abbasov AM (2013) Pythagorean membership grades, complex numbers and decision making. Int J Intell Syst 28(5):436–452 Yager RR, Abbasov AM (2013) Pythagorean membership grades, complex numbers and decision making. Int J Intell Syst 28(5):436–452
Zurück zum Zitat Yager RR, Filev DP (1999) Induced ordered weighted averaging operators. IEEE Trans Syst Man Cybern Part B Cybern 29(2):141–150 Yager RR, Filev DP (1999) Induced ordered weighted averaging operators. IEEE Trans Syst Man Cybern Part B Cybern 29(2):141–150
Zurück zum Zitat Yu D, Shunshun S (2015) Researching the development of Atanassov intuitionistic fuzzy set: using a citation network analysis. Appl Soft Comput 32:189–198 Yu D, Shunshun S (2015) Researching the development of Atanassov intuitionistic fuzzy set: using a citation network analysis. Appl Soft Comput 32:189–198
Zurück zum Zitat Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353MATH Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353MATH
Zurück zum Zitat Zang X, Xu ZS (2014) Extension of TOPSIS to multiple criteria decision making with pythagorean fuzzy sets. Int J Intell Syst 29(12):1061–1078 Zang X, Xu ZS (2014) Extension of TOPSIS to multiple criteria decision making with pythagorean fuzzy sets. Int J Intell Syst 29(12):1061–1078
Zurück zum Zitat Zeng S, Chen SM, Kuo LW (2019) Multiattribute decision making based on novel score function of intuitionistic fuzzy values and modified VIKOR method. Inf Sci 488:76–92 Zeng S, Chen SM, Kuo LW (2019) Multiattribute decision making based on novel score function of intuitionistic fuzzy values and modified VIKOR method. Inf Sci 488:76–92
Metadaten
Titel
Induced generalized pythagorean fuzzy aggregation operators and their application based on t-norm and t-conorm
verfasst von
K. Rahman
S. Abdullah
F. Hussain
Publikationsdatum
04.09.2020
Verlag
Springer International Publishing
Erschienen in
Granular Computing / Ausgabe 4/2021
Print ISSN: 2364-4966
Elektronische ISSN: 2364-4974
DOI
https://doi.org/10.1007/s41066-020-00236-0

Weitere Artikel der Ausgabe 4/2021

Granular Computing 4/2021 Zur Ausgabe

Premium Partner