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Development of dual hesitant fuzzy prioritized operators based on Einstein operations with their application to multi-criteria group decision making

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Języki publikacji
EN
Abstrakty
EN
The purpose of this article is to develop a multicriteria group decision making (MCGDM) method in dual hesitant fuzzy (DHF) environment by evaluating the weights of the decision makers from the decision matrices using two newly defined prioritized aggregation operators based on score function to remove the inconsistencies in choosing the best alternative. Prioritized weighted averaging operator and prioritized weighted geometric operator based on Einstein operations are described first for aggregating DHF information. Some of their desirable properties are also investigated in details. A method for finding the rank of alternatives in MCGDM problems with DHF information based on priority levels of decision makers is developed. An illustrative example concerning MCGDM problem is considered to establish the application potentiality of the proposed approach. The method is efficient enough to solve different real life MCGDM problems having DHF information.
Rocznik
Strony
527--549
Opis fizyczny
Bibliogr. 34 poz., wzory
Twórcy
autor
  • Department of Mathematics, University of Kalyani, Kalyani – 741235, India
autor
  • Department of Mathematics, Heramba Chandra College, Kolkata – 700029, India
Bibliografia
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  • [4] K. Atanassov: Intuitionistic fuzzy sets, Theory and Applications, Physica-Verlag, Heidelberg, 1999.
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  • [7] L. Cui, Y. Li, and X. Zhang: Intuitionistic fuzzy linguistic quantifiers based on intuitionistic fuzzy-valued fuzzy measures and integrals, Int. J. Uncertain Fuzz., 17 (2009), 427-448.
  • [8] S. Greensfield, F. Chiclana, S. Coupland, and R. John: The collapsing method of defuzzification for discretised interval type-2 fuzzy sets, Inform. Sci., 179 (2009), 2055-2069.
  • [9] N. Karnik and J. Mendel: Centroid of a type-2 fuzzy set, Inform. Sci., 132 (2001), 195-220.
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  • [11] E. P. Klement, R. Mesiar, and E. Pap: Triangular norms. Position paper I: basic analytical and algebraic properties, Fuzzy Sets Systs., 143 (2004), 5-26.
  • [12] Y. Li, Y. Deng, F. Chan, J. Liu, and X. Deng: An improved method on group decision making based on interval-valued intuitionistic fuzzy prioritized operators, Appl. Math. Model, 38 (2014), 2689-2694.
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  • [15] V. Torra: Hesitant fuzzy sets, Int. J. Intell. Syst., 25 (2010), 529-539.
  • [16] V. Torra and Y. Narukawa: On hesitant fuzzy sets and decision, The 18th IEEE international conference on fuzzy systems, Ueju Island, Korea, 2009, 1378-1382.
  • [17] I. B. Turksen: Interval valued fuzzy sets based on normal forms, Fuzzy Sets Syst., 20 (1986), 191-210.
  • [18] G. Wei and M. Lu: Dual hesitant Pythagorean fuzzy Hamacher aggregation operators in multiple attribute decision making, Archives of Control Sciences, 27(3) (2017), 365-395.
  • [19] G. Wei: Hesitant fuzzy prioritized operators and their application to multiple attribute decision-making, Knowl. Syst., 31 (2012), 176-182.
  • [20] G. Wei, F. E. Alsaadi, T. Hayat, and A. Alsaedi: Hesitant fuzzy linguistic arithmetic aggregation operators in multiple attribute decision making, Iranian J. Fuzzy Systs., 13 (2016), 1-16.
  • [21] M. Xia and Z. S. Xu: Hesitant fuzzy information aggregation in decision making, Int. J. Approx. Reason, 52 (2011), 395-407.
  • [22] Z. Xu: A method based on distance measure for interval-valued intuitionistic fuzzy group decision making, Inform. Sci., 180 (2010), 181-190.
  • [23] Z. Xu and X. Zhang: Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information, Knowl. Syst., 52 (2013), 53-64.
  • [24] Z. S. Xu and R. Yager: Some geometric aggregation operators based on intuitionistic fuzzy sets, Int. J. Gen. Syst., 35 (2006), 417-433.
  • [25] R. Yager: Generalized OWA aggregation operators, Fuzzy Optim. Decis Ma., 3 (2004), 93-107.
  • [26] R. Yager: Prioritized aggregation operators, Int. J. Approx. Reason, 48 (2008), 263-274.
  • [27] D. Yu: Intuitionistic fuzzy prioritized operators and their application in multi-criteria group decision-making, TTechnol. Eco. Dev. Eco., 19 (2014), 1-21.
  • [28] D. Yu, W. Zhang, and G. Huang: Dual hesitant fuzzy aggregation operators, Technol. Eco. Dev. Eco., 22 (2015), 194-209.
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  • [30] Q. Yu, F. Hou, Y. Zhai, and Y. Du: Some hesitant fuzzy Einstein aggregation operators and their application to multiple attribute group decision making, Int. J. Intell. Syst., 31 (2016), 722-746.
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  • [33] H. Zhao, Z. Xu, and S. Liu: Dual Hesitant Fuzzy Information Aggregation with Einstein t-conorm and t-norm, J. Syst. Sci. Syst. Eng., 26 (2017), 240-264.
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Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-c2825198-7121-4949-9fe1-d7f0ae8c5517
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