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Generalized Hybrid Aggregation Operators Based on the 2-Dimension Uncertain Linguistic Information for Multiple Attribute Group Decision Making

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Abstract

With respect to the multiple attribute decision making problems in which the attribute values take the form of the 2-dimension uncertain linguistic information, a new method based on the generalized hybrid operators is proposed. Firstly, the definition, properties, expectations and ranking method of 2-dimension uncertain linguistic information are introduced, and the operational laws the 2-dimension uncertain linguistic information are defined. Then some aggregation operators, including 2-dimension uncertain linguistic generalized weighted average operator, 2-dimension uncertain linguistic generalized ordered weighted average operator, and 2-dimension uncertain linguistic generalized hybrid weighted average operator, are developed, and some properties and special cases of them are also discussed. Finally, these operators are applied to multi-criteria decision making and an illustrative example is given to verify the developed approach and to demonstrate its effectiveness.

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References

  • Churchman CW, Ackoff RL, Arnoff EL (1975) Introduction to operations research. Wiley, New York

    Google Scholar 

  • Herrera F, Herrera-Viedma E, Chiclana F (2001) Multiperson decision-making based on multiplicative preference relations. Eur J Oper Res 129:372–385

    Article  Google Scholar 

  • Herrera F, Martínez L (2000) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 8(6):746–752

    Article  Google Scholar 

  • Herrera F, Verdegay JL (1993) Linguistic assessments in group decision. In: Proceedings of the 1st European Congress on fuzzy and intelligent technologies, Aachen, pp 941–948

  • Liang XC, Chen SF (2008) Multiple attribute decision making method based on trapezoid fuzzy linguistic variables. J Southeast Univ 124(4):478–481 English Edition

    Google Scholar 

  • Liu PD (2013a) The multi-attribute group decision making method based on the interval grey linguistic variables weighted aggregation operator. Journal Intell Fuzzy Syst 24(2):405–414

    Google Scholar 

  • Liu PD (2013b) Some generalized dependent aggregation operators with intuitionistic linguistic numbers and their application to group decision making. J Comput Syst Sci 79(1):131–143

    Article  Google Scholar 

  • 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):83–97

    Article  Google Scholar 

  • Liu PD, Jin F (2012) Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making. Inf Sci 205:58–71

    Article  Google Scholar 

  • Liu PD, Liu ZM, Zhang X (2014) Some intuitionistic uncertain linguistic heronian mean operators and their application to group decision making. Appl Mathe Comput 230:570–586

    Article  Google Scholar 

  • Liu PD, Su Y (2010) The multiple-attribute decision making method based on the TFLHOWA operator. Comput Math Appl 60(9):2609–2615

    Article  Google Scholar 

  • Liu PD, Wang YM (2014a) Multiple attribute group decision making methods based on intuitionistic linguistic power generalized aggregation operators. Appl Soft Comput 17:90–104

    Article  Google Scholar 

  • Liu PD, Wang YM (2014b) Multiple attribute decision making method based on single valued neutrosophic normalized weighted bonferroni mean. Neural Comput Appl 25(7–8):2001–2010

    Article  Google Scholar 

  • Liu PD, Yu XC (2014) 2-Dimension uncertain linguistic power generalized weighted aggregation operator and its application for multiple attribute group decision making. Knowledge-Based Syst 57(1):69–80

    Article  Google Scholar 

  • Liu PD, Zhang X (2012) An Approach to Group Decision Making Based on 2-dimension Uncertain Linguistic Assessment Information. Technol Econ Dev Econ 18(3):424–437

    Article  Google Scholar 

  • Wang X, Chen HY, Liu X (2011) Multiple attribute group decision making with interval two-tuple linguistic information based on deviation. Chin J Manag 8(2):301–305

    Google Scholar 

  • Wang Y, Xu ZS (2008) A new method of giving OWA weights. Math Pract Theory 38(3):51–61

    Google Scholar 

  • Wei GW, Huang DS, Wei Y (2007) ULHGA operator and its application to group decision making under uncertain linguistic environment. Fuzzy Syst Math 21(2):72–78

    Google Scholar 

  • Xu ZS (2004a) Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment. Inf Sci 168(1–4):171–184

    Article  Google Scholar 

  • Xu ZS (2004b) Uncertain multiple attribute decision making methods and application. Tsinghua University Press, Beijing

    Google Scholar 

  • Xu ZS (2006) Induced uncertain linguistic OWA operators applied to group decision making. Inf Fusion 7(2):231–238

    Article  Google Scholar 

  • Xu ZS (2007) Group decision making with triangular fuzzy linguistic variables. Intell Data Eng Autom Learn-IDEAL 4881:17–26

    Google Scholar 

  • Yager RR (1988) On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Trans Sys Man Cybern 18(1):183–190

    Article  Google Scholar 

  • Yager RR (2004) Generalized OWA aggregation operators. Fuzzy Optim Decis Mak 3:93–107

    Article  Google Scholar 

  • Yu XH, Xu ZS, Liu SS, Chen Q (2012) Multi-criteria decision making with 2-dimension linguistic aggregation techniques. Int J Intell Syst 27(6):539–562

    Article  Google Scholar 

  • Zadeh LA (1975a) The concept of a linguistic variable and its application to approximate reasoning - I. Inf Sci 8(3):199–249

    Article  Google Scholar 

  • Zadeh LA (1975b) The concept of a linguistic variable and its application to approximate reasoning - II. Inf Sci 8(4):301–357

    Article  Google Scholar 

  • Zadeh LA (1975c) The concept of a linguistic variable and its application to approximate reasoning - III. Inf Sci 9(1):43–80

    Article  Google Scholar 

  • Zhang C, Zhou GZ, Zhu WD (2011) Research on peer review system for the national science foundation based on two-dimensional semantics evidence reasoning. China Soft Sci 2:176–182

    Google Scholar 

  • Zhou LG, Chen HY (2012) A generalization of the power aggregation operators for linguistic environment and its application in group decision making. Knowl-Based Syst 26:216–224

    Article  Google Scholar 

  • Zhu WD, Zhou GZ, Yang SL (2009) An approach to group decision making based on 2-dimension linguistic assessment information. Syst Eng 27(2):113–118

    Google Scholar 

Download references

Acknowledgments

This paper is supported by the National Natural Science Foundation of China (Nos. 71271124, 71471172), the national soft science research project (2014GXQ4D192), the Natural Science Foundation of Shandong Province (No. ZR2011FM036), Shandong Provincial Social Science Planning Project (No.13BGLJ10), and Graduate education innovation projects in Shandong Province (SDYY12065).

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Authors and Affiliations

  1. School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, 250014, Shandong, China

    Peide Liu, Li He & Xiaocun Yu

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  1. Peide Liu
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  2. Li He
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  3. Xiaocun Yu
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Correspondence to Peide Liu.

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Liu, P., He, L. & Yu, X. Generalized Hybrid Aggregation Operators Based on the 2-Dimension Uncertain Linguistic Information for Multiple Attribute Group Decision Making. Group Decis Negot 25, 103–126 (2016). https://doi.org/10.1007/s10726-015-9434-x

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  • DOI: https://doi.org/10.1007/s10726-015-9434-x

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