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Erschienen in: Soft Computing 20/2019

29.10.2018 | Methodologies and Application

Some novel intuitionistic fuzzy information fusion methods in decision making with interaction among attributes

verfasst von: Zhimin Mu, Shouzhen Zeng

Erschienen in: Soft Computing | Ausgabe 20/2019

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Abstract

In order to solve multi-attribute decision making problems involving inter-dependence or interaction among the attributes, in this paper, two new Atanassov intuitionistic fuzzy integral operators, namely the Atanassov intuitionistic fuzzy Zhenyuan averaging operator and the Atanassov intuitionistic fuzzy Zhenyuan geometric operator, are proposed. The devised operators fully consider the importance of interactions among different attributes and are highly suitable to handle problems where the attributes are inter-dependent or interactive. Some of their desirable properties are studied. Finally, a series of simulations are provided to demonstrate the advantages and validity of the proposed aggregation operators.

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Literatur
Zurück zum Zitat Grabisch M (1996) The application of fuzzy integrals in multicriteria decision making. Eur J Oper Res 89(2):445–456MATHCrossRef Grabisch M (1996) The application of fuzzy integrals in multicriteria decision making. Eur J Oper Res 89(2):445–456MATHCrossRef
Zurück zum Zitat Grabisch M, Labreuche C (2010) A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid. Ann Oper Res 175(3):247–286MathSciNetMATHCrossRef Grabisch M, Labreuche C (2010) A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid. Ann Oper Res 175(3):247–286MathSciNetMATHCrossRef
Zurück zum Zitat Jamkhaneh BE, Nadarajah S (2015) A new generalized intuitionistic fuzzy set. Hacet J Math Stat 44(6):1537–1551MathSciNetMATH Jamkhaneh BE, Nadarajah S (2015) A new generalized intuitionistic fuzzy set. Hacet J Math Stat 44(6):1537–1551MathSciNetMATH
Zurück zum Zitat Krishnan AR, Kasim MM, Bakar EM (2015) A short survey on the usage of Choquet integral and its associated fuzzy measure in multiple attribute analysis. Procedia Comput Sci 59:427–434CrossRef Krishnan AR, Kasim MM, Bakar EM (2015) A short survey on the usage of Choquet integral and its associated fuzzy measure in multiple attribute analysis. Procedia Comput Sci 59:427–434CrossRef
Zurück zum Zitat Labreuche C, Grabisch M (2003) The Choquet integral for the aggregation of interval scales in multicriteria decision making. Fuzzy Sets Syst 137(1):11–26MathSciNetMATHCrossRef Labreuche C, Grabisch M (2003) The Choquet integral for the aggregation of interval scales in multicriteria decision making. Fuzzy Sets Syst 137(1):11–26MathSciNetMATHCrossRef
Zurück zum Zitat Llamazares B (2015) Constructing Choquet integral-based operators that generalize weighted means and OWA operators. Inf Fusion 23:131–138CrossRef Llamazares B (2015) Constructing Choquet integral-based operators that generalize weighted means and OWA operators. Inf Fusion 23:131–138CrossRef
Zurück zum Zitat Meng FY, Zhang Q (2013) Approaches to multiple-criteria group decision making based on interval-valued intuitionistic fuzzy Choquet integral with respect to the generalized $\lambda $-Shapley index. Knowl-Based Syst 37:237–249CrossRef Meng FY, Zhang Q (2013) Approaches to multiple-criteria group decision making based on interval-valued intuitionistic fuzzy Choquet integral with respect to the generalized $\lambda $-Shapley index. Knowl-Based Syst 37:237–249CrossRef
Zurück zum Zitat Meng F, Zhang Q, Zhan J (2015) The interval-valued intuitionistic fuzzy geometric Choquet aggregation operator based on the generalized index and 2-additive measure. Technol Econ Dev Econ 21(4):186–215CrossRef Meng F, Zhang Q, Zhan J (2015) The interval-valued intuitionistic fuzzy geometric Choquet aggregation operator based on the generalized index and 2-additive measure. Technol Econ Dev Econ 21(4):186–215CrossRef
Zurück zum Zitat Mu ZM, Zeng SZ, Liu QB (2018) Some interval-valued intuitionistic fuzzy Zhenyuan aggregation operators and their application to multi-attribute decision making. Int J Uncertain Fuzziness knowl-based syst 26(4):633–653MathSciNetCrossRef Mu ZM, Zeng SZ, Liu QB (2018) Some interval-valued intuitionistic fuzzy Zhenyuan aggregation operators and their application to multi-attribute decision making. Int J Uncertain Fuzziness knowl-based syst 26(4):633–653MathSciNetCrossRef
Zurück zum Zitat Qin JD, Liu XW (2013) Study on interval intuitionistic fuzzy multi-attribute group decision making method based on Choquet integral. Procedia Comput Sci 17:465–472CrossRef Qin JD, Liu XW (2013) Study on interval intuitionistic fuzzy multi-attribute group decision making method based on Choquet integral. Procedia Comput Sci 17:465–472CrossRef
Zurück zum Zitat Sirbiladze G (2016) New fuzzy aggregation operators based on the finite Choquet integral: application in the MADM problem. Int J Inf Technol Decis Mak 15:517–552CrossRef Sirbiladze G (2016) New fuzzy aggregation operators based on the finite Choquet integral: application in the MADM problem. Int J Inf Technol Decis Mak 15:517–552CrossRef
Zurück zum Zitat Sirbiladze G, Badagadze O (2017) Intuitionistic fuzzy probabilistic aggregation operators based on the Choquet integral: application in multicriteria decision making. Int J Inf Technol Decis Mak 16(1):245–279CrossRef Sirbiladze G, Badagadze O (2017) Intuitionistic fuzzy probabilistic aggregation operators based on the Choquet integral: application in multicriteria decision making. Int J Inf Technol Decis Mak 16(1):245–279CrossRef
Zurück zum Zitat Sugeno M (1974) Theory of fuzzy integrals and its applications. Doctorial thesis, Institute of Technology, Tokyo Sugeno M (1974) Theory of fuzzy integrals and its applications. Doctorial thesis, Institute of Technology, Tokyo
Zurück zum Zitat Tan CQ (2011) A multi-criteria interval-valued intuitionistic fuzzy group decision making with Choquet integral-based TOPSIS. Expert Syst Appl 38(4):3023–3033CrossRef Tan CQ (2011) A multi-criteria interval-valued intuitionistic fuzzy group decision making with Choquet integral-based TOPSIS. Expert Syst Appl 38(4):3023–3033CrossRef
Zurück zum Zitat Tan CQ, Chen XH (2010) Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making. Expert Syst Appl 37(1):149–157CrossRef Tan CQ, Chen XH (2010) Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making. Expert Syst Appl 37(1):149–157CrossRef
Zurück zum Zitat Wang ZY, Leung KS, Wong ML, Fang J (2000) A new type of nonlinear integrals and the computational algorithm. Fuzzy Sets Syst 112(2):223–231MathSciNetMATHCrossRef Wang ZY, Leung KS, Wong ML, Fang J (2000) A new type of nonlinear integrals and the computational algorithm. Fuzzy Sets Syst 112(2):223–231MathSciNetMATHCrossRef
Zurück zum Zitat Wang ZY, Leung KS, George JK (2005) Applying fuzzy measures and nonlinear integrals in data mining. Fuzzy Sets Syst 156(3):371–380MathSciNetMATHCrossRef Wang ZY, Leung KS, George JK (2005) Applying fuzzy measures and nonlinear integrals in data mining. Fuzzy Sets Syst 156(3):371–380MathSciNetMATHCrossRef
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):423–431CrossRef Wei GW (2010) Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making. Appl Soft Comput 10(2):423–431CrossRef
Zurück zum Zitat Wu JZ, Chen F, Nie CP, Zhang Q (2013) Intuitionistic fuzzy-valued Choquet integral and its application in multicriteria decision making. Inf Sci 222:509–527MathSciNetMATHCrossRef Wu JZ, Chen F, Nie CP, Zhang Q (2013) Intuitionistic fuzzy-valued Choquet integral and its application in multicriteria decision making. Inf Sci 222:509–527MathSciNetMATHCrossRef
Zurück zum Zitat Xia MM, Xu ZS, Zhu B (2012) Some issues on intuitionistic fuzzy aggregation operators based on Archimedean t-conorm and t-norm. Knowl-Based Syst 31:78–88CrossRef Xia MM, Xu ZS, Zhu B (2012) Some issues on intuitionistic fuzzy aggregation operators based on Archimedean t-conorm and t-norm. Knowl-Based Syst 31:78–88CrossRef
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 Xu YJ, Wang HM (2012) The induced generalized aggregation operators for intuitionistic fuzzy sets and their application in group decision making. Appl Soft Comput 12(3):1168–1179CrossRef Xu YJ, Wang HM (2012) The induced generalized aggregation operators for intuitionistic fuzzy sets and their application in group decision making. Appl Soft Comput 12(3):1168–1179CrossRef
Zurück zum Zitat Xu ZS, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35(4):417–433MathSciNetMATHCrossRef Xu ZS, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35(4):417–433MathSciNetMATHCrossRef
Zurück zum Zitat Yang W, Chen ZP (2012) New aggregation operators based on the Choquet integral and 2-tuple linguistic information. Expert Syst Appl 39(3):2662–2668CrossRef Yang W, Chen ZP (2012) New aggregation operators based on the Choquet integral and 2-tuple linguistic information. Expert Syst Appl 39(3):2662–2668CrossRef
Zurück zum Zitat Yao OY, Pedrycz W (2016) A new model for intuitionistic fuzzy multi-attributes decision making. Eur J Oper Res 249(2):677–682MathSciNetMATHCrossRef Yao OY, Pedrycz W (2016) A new model for intuitionistic fuzzy multi-attributes decision making. Eur J Oper Res 249(2):677–682MathSciNetMATHCrossRef
Zurück zum Zitat Yu XH, Xu ZS (2013) Prioritized intuitionistic fuzzy aggregation operators. Inf Fusion 14(1):108–116CrossRef Yu XH, Xu ZS (2013) Prioritized intuitionistic fuzzy aggregation operators. Inf Fusion 14(1):108–116CrossRef
Zurück zum Zitat Zeng SZ, Su WH (2011) Intuitionistic fuzzy ordered weighted distance operator. Knowl-Based Syst 24(8):1224–1232CrossRef Zeng SZ, Su WH (2011) Intuitionistic fuzzy ordered weighted distance operator. Knowl-Based Syst 24(8):1224–1232CrossRef
Zurück zum Zitat Zeng SZ, Xiao YA (2018) A method based on topsis and distance measures for hesitant fuzzy multiple attribute decision making. Technol Econ Dev Econ 24:905–919CrossRef Zeng SZ, Xiao YA (2018) A method based on topsis and distance measures for hesitant fuzzy multiple attribute decision making. Technol Econ Dev Econ 24:905–919CrossRef
Zurück zum Zitat Zhao H, Xu ZS, Ni MF, Liu SS (2010) Generalized aggregation operators for intuitionistic fuzzy sets. Int J Intell Syst 25(1):1–30MATHCrossRef Zhao H, Xu ZS, Ni MF, Liu SS (2010) Generalized aggregation operators for intuitionistic fuzzy sets. Int J Intell Syst 25(1):1–30MATHCrossRef
Zurück zum Zitat Zeng SZ, Su WH, Sun LR (2013) A method based on similarity measures for interactive group decision-making with intuitionistic fuzzy preference relations. Appl Math Model 37(10–11):6909–6917MathSciNetMATHCrossRef Zeng SZ, Su WH, Sun LR (2013) A method based on similarity measures for interactive group decision-making with intuitionistic fuzzy preference relations. Appl Math Model 37(10–11):6909–6917MathSciNetMATHCrossRef
Zurück zum Zitat Zeng SZ, Mu ZM, Baleźentis T (2018) A novel aggregation method for Pythagorean fuzzy multiple attribute group decision making. Int J Intell Syst 33(3):573–585CrossRef Zeng SZ, Mu ZM, Baleźentis T (2018) A novel aggregation method for Pythagorean fuzzy multiple attribute group decision making. Int J Intell Syst 33(3):573–585CrossRef
Metadaten
Titel
Some novel intuitionistic fuzzy information fusion methods in decision making with interaction among attributes
verfasst von
Zhimin Mu
Shouzhen Zeng
Publikationsdatum
29.10.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 20/2019
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-018-3600-4

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