Consensus-reaching methods for hesitant fuzzy multiple criteria group decision making with hesitant fuzzy decision making matrices

Jie DING; Ze-shui XU; Hu-chang LIAO

doi:10.1631/FITEE.1601546

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Consensus-reaching methods for hesitant fuzzy multiple criteria group decision making with hesitant fuzzy decision making matrices

Regular Papers | Updated：2022-05-19

- Consensus-reaching methods for hesitant fuzzy multiple criteria group decision making with hesitant fuzzy decision making matrices
- 基于犹豫模糊决策矩阵的犹豫模糊多准则共识群决策方法
- Frontiers of Information Technology & Electronic Engineering Vol. 18, Issue 11, Pages: 1679-1692(2017)
- Affiliations：
  
  Business School, Sichuan University, Chengdu 610065, China
- Author bio：
  
  [ "Jie DING,E-mail: dingjie_scu@163.com" ]
  Ze-shui XU, E-mail: xuzeshui@263.net
  [ "Hu-chang LIAO, E-mail: liaohuchang@163.com" ]
- Funds：
- DOI：10.1631/FITEE.1601546
  CLC： TP13;C934
- Received：20 September 2016，
  
  Revised：2017-11-;6，
  
  Published：2017-11
- Accepted：
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Jie DING, Ze-shui XU, Hu-chang LIAO. Consensus-reaching methods for hesitant fuzzy multiple criteria group decision making with hesitant fuzzy decision making matrices[J]. Frontiers of Information Technology & Electronic Engineering, 2017, 18(11): 1679-1692.
DOI：

Jie DING, Ze-shui XU, Hu-chang LIAO. Consensus-reaching methods for hesitant fuzzy multiple criteria group decision making with hesitant fuzzy decision making matrices[J]. Frontiers of Information Technology & Electronic Engineering, 2017, 18(11): 1679-1692. DOI： 10.1631/FITEE.1601546.

摘要

群决策在管理决策和经济领域有着重要作用。本文建立了两种关于犹豫模糊多准则群共识决策的方法，并使用犹豫模糊决策矩阵（hesitant fuzzy decision matrices

HFDMs）表示专家的偏好。本文建立了两个新颖的、可应用于不同群决策环境的共识模型，其中共识决策过程包括：共识检验过程，共识达成过程和选择过程。专家以犹豫模糊集的方式表达自己的选择，然后通过集成算子计算每个准则下的犹豫模糊集。此外，基于两个专家在决策之间的偏差计算出任意两个犹豫模糊集之间的距离。本文建立了两种达成共识的方法，并提出了两种犹豫模糊多准则群决策方法的具体计算步骤。最后通过具体案例分析了苹果公司以旧换新的决策过程。该案例旨在让所有专家在进行选择决策之前达成高度共识，避免一些专家的偏好值过高或过低。通过共识测量修正的偏好信息可令决策结果更加合理。

Abstract

Group decision making plays an important role in various fields of management decision and economics. In this paper

we develop two methods for hesitant fuzzy multiple criteria group decision making with group consensus in which all the experts use hesitant fuzzy decision matrices (HFDMs) to express their preferences. The aim of this paper is to present two novel consensus models applied in different group decision making situations

which are composed of consensus checking processes

consensus-reaching processes

and selection processes. All the experts make their own judgments on each alternative over multiple criteria by hesitant fuzzy sets

and then the aggregation of each hesitant fuzzy set under each criterion is calculated by the aggregation operators. Furthermore

we can calculate the distance between any two aggregations of hesitant fuzzy sets

based on which the deviation between any two experts is yielded. After introducing the consensus measure

we develop two kinds of consensus-reaching procedures and then propose two step-by-step algorithms for hesitant fuzzy multiple criteria group decision making. A numerical example concerning the selection of selling ways about 'Trade-Ins' for Apple Inc. is provided to illustrate and verify the developed approaches. In this example

the methods which aim to reach a high consensus of all the experts before the selection process can avoid some experts' preference values being too high or too low. After modifying the previous preference information by using our consensus measures

the result of the selection process is much more reasonable.

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references

K. Atanassov , , , G. Gargov . . Interval valued intuitionistic fuzzy sets . . Fuzzy Sets Syst. , , 1989 . . 31 ( ( 3 ): ): 343 - - 349 . . DOI: 10.1016/0165-0114(89)90205-4 http://doi.org/10.1016/0165-0114(89)90205-4 . .

K.T. Atanassov . . On Intuitionistic Fuzzy Sets Theory . . Springer-Verlag Berlin Heidelberg , , 2012 . . DOI: 10.1007/978-3-642-29127-2 http://doi.org/10.1007/978-3-642-29127-2 . .

A. Azarnivand , , , A. Malekian . . Analysis of flood risk management strategies based on a group decision making process via interval-valued intuitionistic fuzzy numbers . . Water Resour. Manag. , , 2016 . . 30 ( ( 6 ): ): 1903 - - 1921 . . DOI: 10.1007/s11269-016-1259-0 http://doi.org/10.1007/s11269-016-1259-0 . .

D. Ben-Arieh , , , Z.F. Chen . . Fuzzy group decision making . . In : Badiru, A.B. (Ed.), Handbook of Industrial and Systems Engineering. CRC Press , , 2006 . . .

F.J. Cabrerizo , , , J.M. Moreno , , , Pérez , , , J. I. , , , 等 . . Analyzing consensus approaches in fuzzy group decision making: advantages and drawbacks . . Soft Comput. , , 2010 . . 14 ( ( 5 ): ): 451 - - 463 . . DOI: 10.1007/s00500-009-0453-x http://doi.org/10.1007/s00500-009-0453-x . .

F.J. Cabrerizo , , , F. Chiclana , , , R. Al-Hmouz , , , 等 . . Fuzzy decision making and consensus: challenges . . J. Intell. Fuzzy Syst. , , 2015 . . 29 ( ( 3 ): ): 1109 - - 1118 . . DOI: 10.3233/IFS-151719 http://doi.org/10.3233/IFS-151719 . .

N. Chen , , , Z.S. Xu , , , M.M. Xia . . Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis . . Appl. Math. Model. , , 2013 . . 37 ( ( 4 ): ): 2197 - - 2211 . . DOI: 10.1016/j.apm.2012.04.031 http://doi.org/10.1016/j.apm.2012.04.031 . .

Z.T. Gong , , , X. Feng . . Alpha beta-statistical convergence and strong alpha beta-convergence of order gamma for a sequence of fuzzy numbers . . J. Comput. Anal. Appl. , , 2016 . . 21 ( ( 2 ): ): 228 - - 236 . . . .

E. Herrera-Viedma , , , S. Alonso , , , F. Chiclana , , , 等 . . A consensus model for group decision making with incomplete fuzzy preference relations . . IEEE Trans. Fuzzy Syst. , , 2007 . . 15 ( ( 5 ): ): 863 - - 877 . . DOI: 10.1109/TFUZZ.2006.889952 http://doi.org/10.1109/TFUZZ.2006.889952 . .

L.F. Kong . . Environmental protection effect of the policy of replacement of household electrical appliances and the electronic waste treatment . . Ecol. Econ. , , 2010 . . 6 164 - - 167, 174 . . . .

H.C. Liao , , , Z.S. Xu . . Some new hybrid weighted aggregation operators under hesitant fuzzy multi-criteria decision making environment . . J. Intell. Fuzzy Syst. , , 2014 . . 26 ( ( 4 ): ): 1601 - - 1617 . . DOI: 10.3233/IFS-130841 http://doi.org/10.3233/IFS-130841 . .

H.C. Liao , , , Z.S. Xu . . Extended hesitant fuzzy hybrid weighted aggregation operators and their application in decision making . . Soft Comput. , , 2015 . . 19 ( ( 9 ): ): 2551 - - 2564 . . DOI: 10.1007/s00500-014-1422-6 http://doi.org/10.1007/s00500-014-1422-6 . .

H.C. Liao , , , Z.S. Xu , , , M.M. Xia . . Multiplicative consistency of hesitant fuzzy preference relation and its application in group decision making . . Int. J. Inform. Technol. Decis. Making , , 2014 . . 13 ( ( 1 ): ): 47 - - 76 . . DOI: 10.1142/S0219622014500035 http://doi.org/10.1142/S0219622014500035 . .

H.C. Liao , , , Z.S. Xu , , , X.J. Zeng , , , 等 . . Framework of group decision making with intuitionistic fuzzy preference information . . IEEE Trans. Fuzzy Syst. , , 2015a . . 23 ( ( 4 ): ): 1211 - - 1227 . . DOI: 10.1109/TFUZZ.2014.2348013 http://doi.org/10.1109/TFUZZ.2014.2348013 . .

H.C. Liao , , , Z.S. Xu , , , X.J. Zeng . . Novel correlation coefficients between hesitant fuzzy sets and their application in decision making . . Knowl.-Based Syst. , , 2015b . . 82 115 - - 127 . . DOI: 10.1016/j.knosys.2015.02.020 http://doi.org/10.1016/j.knosys.2015.02.020 . .

H.C. Liao , , , Z.S. Xu , , , X.J. Zeng , , , 等 . . An enhanced consensus-reaching process in group decision making with intuitionistic fuzzy preference relations . . Inform. Sci. , , 2016 . . 329 274 - - 286 . . DOI: 10.1016/j.ins.2015.09.024 http://doi.org/10.1016/j.ins.2015.09.024 . .

V. Torra . . Hesitant fuzzy sets . . Int. J. Intell. Syst. , , 2010 . . 25 ( ( 6 ): ): 529 - - 539 . . DOI: 10.1002/int.20418 http://doi.org/10.1002/int.20418 . .

V. Torra , , , Y. Narukawa . . On hesitant fuzzy sets and decision . . Proc. IEEE Int. Conf. on Fuzzy Systems , , 2009 . . p.1378 - - 1382 . . DOI: 10.1109/FUZZY.2009.5276884 http://doi.org/10.1109/FUZZY.2009.5276884 . .

G.W. Wei . . Hesitant fuzzy prioritized operators and their application to multiple attribute decision making . . Knowl.-Based Syst. , , 2012 . . 31 176 - - 182 . . DOI: 10.1016/j.knosys.2012.03.011 http://doi.org/10.1016/j.knosys.2012.03.011 . .

P. Wu , , , J. Liu , , , M.C. Wang . . Considering about the pricing strategy optimization model of Trade-Ins . . Jilin Univ. J. Soc. Sci. Ed. , , 2014 . . 54 ( ( 6 ): ): 82 - - 90 . . . .

M.M. Xia , , , Z.S. Xu . . Hesitant fuzzy information aggregation in decision making . . Int. J. Approx. Reason. , , 2011 . . 52 ( ( 3 ): ): 395 - - 407 . . DOI: 10.1016/j.ijar.2010.09.002 http://doi.org/10.1016/j.ijar.2010.09.002 . .

M.M. Xia , , , Z.S. Xu , , , N. Chen . . Some hesitant fuzzy aggregation operators with their application in group decision making . . Group Decis. Negot. , , 2013 . . 22 ( ( 2 ): ): 259 - - 279 . . DOI: 10.1007/s10726-011-9261-7 http://doi.org/10.1007/s10726-011-9261-7 . .

G.L. Xu , , , S.P. Wan , , , F. Wang , , , 等 . . Mathematical programming methods for consistency and consensus in group decision making with intuitionistic fuzzy preference relations . . Knowl.-Based Syst. , , 2016 . . 98 30 - - 43 . . DOI: 10.1016/j.knosys.2015.12.007 http://doi.org/10.1016/j.knosys.2015.12.007 . .

Z.S. Xu . . Hesitant Fuzzy Sets Theory . . Springer, Cham, Berlin , , 2014 . . DOI: 10.1007/978-3-319-04711-9 http://doi.org/10.1007/978-3-319-04711-9 . .

Z.S. Xu , , , M.M. Xia . . Distance and similarity measures for hesitant fuzzy sets . . Inform. Sci. , , 2011a . . 181 ( ( 11 ): ): 2128 - - 2138 . . DOI: 10.1016/j.ins.2011.01.028 http://doi.org/10.1016/j.ins.2011.01.028 . .

Z.S. Xu , , , M.M. Xia . . On distance and correlation measures of hesitant fuzzy information . . Int. J. Intell. Syst. , , 2011b . . 26 ( ( 5 ): ): 410 - - 425 . . DOI: 10.1002/int.20474 http://doi.org/10.1002/int.20474 . .

L.A. Zadeh . . Fuzzy sets . . Inform. Contr. , , 1965 . . 8 ( ( 3 ): ): 338 - - 353 . . DOI: 10.1016/S0019-9958(65)90241-X http://doi.org/10.1016/S0019-9958(65)90241-X . .

S.Z. Zeng , , , A. Baležentis , , , W.H. Su . . The multi-criteria hesitant fuzzy group decision making with MULTIMOORA method . . Econ. Comput. Econ. Cybern. Stud. Res. , , 2013 . . 47 ( ( 3 ): ): 171 - - 184 . . . .

J.L. Zhang , , , X.W. Qi , , , H.B. Huang . . A hesitant fuzzy multiple attribute group decision making approach based on TOPSIS for parts supplier selection . . Appl. Mech. Mater. , , 2013 . . 357-360 2730 - - 2737 . . DOI: 10.4028/www.scientific.net/AMM.357-360.2730 http://doi.org/10.4028/www.scientific.net/AMM.357-360.2730 . .

L.Y. Zhang , , , T. Li , , , X.H. Xu . . Consensus model for multiple criteria group decision making under intuitionistic fuzzy environment . . Knowl.-Based Syst , , 2014 . . 57 127 - - 135 . . DOI: 10.1016/j.knosys.2013.12.013 http://doi.org/10.1016/j.knosys.2013.12.013 . .

Z.M. Zhang , , , C. Wang , , , X.D. Tian . . A consensus model for group decision making with hesitant fuzzy information . . Int. J. Uncert. Fuzz. Knowl.-Based Syst. , , 2015a . . 23 ( ( 3 ): ): 459 - - 480 . . DOI: 10.1142/S0218488515500208 http://doi.org/10.1142/S0218488515500208 . .

Z.M. Zhang , , , C. Wang , , , X.D. Tian . . A decision support model for group decision making with hesitant fuzzy preference relations . . Knowl.-Based Syst. , , 2015b . . 86 77 - - 101 . . DOI: 10.1016/j.knosys.2015.05.023 http://doi.org/10.1016/j.knosys.2015.05.023 . .

L. Zhou . . On Atanassov's intuitionistic fuzzy sets in the complex plane and the field of intuitionistic fuzzy numbers . . IEEE Trans. Fuzzy Syst. , , 2016 . . 24 ( ( 2 ): ): 253 - - 259 . . DOI: 10.1109/TFUZZ.2015.2452957 http://doi.org/10.1109/TFUZZ.2015.2452957 . .

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