A consensus model for group decision making under interval type-2 fuzzy environment

Xiao-xiong ZHANG; Bing-feng GE; Yue-jin TAN

doi:10.1631/FITEE.1500198

Your Location：

Home >

Browse articles >

A consensus model for group decision making under interval type-2 fuzzy environment

Regular Papers | Updated：2022-05-19

- A consensus model for group decision making under interval type-2 fuzzy environment
- 一种应用于区间2型模糊数环境下的群决策共识模型
- Frontiers of Information Technology & Electronic Engineering Vol. 17, Issue 3, Pages: 237-249(2016)
- Affiliations：
  
  College of Information System and Management, National University of Defense Technology, Changsha 410073, China
- Author bio：
  
  E-mail: zxxandxx@163.com
- Funds：
- DOI：10.1631/FITEE.1500198
  CLC： O159; O22
- Received：24 June 2015，
  
  Accepted：25 September 2015，
  
  Published：2016-03
- Accepted：
Scan QR Code
Xiao-xiong ZHANG, Bing-feng GE, Yue-jin TAN. A consensus model for group decision making under interval type-2 fuzzy environment[J]. Frontiers of Information Technology & Electronic Engineering, 2016, 17(3): 237-249.
DOI：

Xiao-xiong ZHANG, Bing-feng GE, Yue-jin TAN. A consensus model for group decision making under interval type-2 fuzzy environment[J]. Frontiers of Information Technology & Electronic Engineering, 2016, 17(3): 237-249. DOI： 10.1631/FITEE.1500198.

摘要

目的

针对区间2型模糊数环境下的群决策问题，提出一种新的共识模型，同时针对决策者权重不一致情形，提出一种新的反馈机制。

创新点

提出了一种用于处理区间2型模糊数环境下的群决策问题的共识模型，充分发挥了2型模糊数表示信息的灵活性和广泛性。同时，在整个决策过程中考虑专家权重的影响，根据专家不同权重制定不同的反馈意见。

方法

首先，专家结合自身经验知识，利用区间2型模糊数对问题进行评价赋值。然后，通过计算不同的一致性指标来检测当前专家们的意见是否趋于一致。若是，则转入方案选型阶段；若不是，则转入反馈机制。反馈机制主要是对不同的专家给予一定的修改意见，以指导专家对自身偏好进行调整，提高整体意见的一致性。总的来说，专家自身权值越大，则其需要调整修改的偏好值越少；反之，专家自身权值越小，则其需要调整修改的偏好值越多（图2）。

结论

针对群决策问题，提出了用于处理2型区间模糊数环境下的共识模型，计算高效，结论可信。

Abstract

We propose a new consensus model for group decision making (GDM) problems

using an interval type-2 fuzzy environment. In our model

experts are asked to express their preferences using linguistic terms characterized by interval type-2 fuzzy sets (IT2 FSs)

because these can provide decision makers with greater freedom to express the vagueness in real-life situations. Consensus and proximity measures based on the arithmetic operations of IT2 FSs are used simultaneously to guide the decision-making process. The majority of previous studies have taken into account only the importance of the experts in the aggregation process

which may give unreasonable results. Thus

we propose a new feedback mechanism that generates different advice strategies for experts according to their levels of importance. In general

experts with a lower level of importance require a larger number of suggestions to change their initial preferences. Finally

we investigate a numerical example and execute comparable models and ours

to demonstrate the performance of our proposed model. The results indicate that the proposed model provides greater insight into the GDM process.

关键词

Keywords

references

S Alonso , , , E Herrera-Viedma , , , F Chiclana , , , 等 . . A web based consensus support system for group decision making problems and incomplete preferences . . Inform. Sci. , , 2010 . . 180 ( ( 23 ): ): 4477 - - 4495 . . DOI: 10.1016/j.ins.2010.08.005 http://doi.org/10.1016/j.ins.2010.08.005 . .

S Alonso , , , I.J Prez , , , F.J Cabrerizo , , , 等 . . A linguistic consensus model for Web 2 . . 0 communities. Appl. Soft Comput. , , 2013 . . 13 ( ( 1 ): ): 149 - - 157 . . DOI: 10.1016/j.asoc.2012.08.009 http://doi.org/10.1016/j.asoc.2012.08.009 . .

F.J Cabrerizo , , , J.M Moreno , , , I.J Prez , , , 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 , , , E Herrera-Viedma , , , W Pedrycz . . A method based on PSO and granular computing of linguistic information to solve group decision making problems defined in heterogeneous contexts . . Eur. J. Oper. Res. , , 2013 . . 230 ( ( 3 ): ): 624 - - 633 . . DOI: 10.1016/j.ejor.2013.04.046 http://doi.org/10.1016/j.ejor.2013.04.046 . .

F.J Cabrerizo , , , J.A Morente-Molinera , , , I.J Prez , , , 等 . . A decision support system to develop a quality management in academic digital libraries . . Inform. Sci. , , 2015a . . 323 48 - - 58 . . DOI: 10.1016/j.ins.2015.06.022 http://doi.org/10.1016/j.ins.2015.06.022 . .

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

S.M Chen , , , L.W Lee . . Fuzzy multiple attributes group decision-making based on the ranking values and the arithmetic operations of interval type-2 fuzzy sets . . Expert Syst. Appl. , , 2010 . . 37 ( ( 1 ): ): 824 - - 833 . . DOI: 10.1016/j.eswa.2009.06.094 http://doi.org/10.1016/j.eswa.2009.06.094 . .

Z Chen , , , W Yang . . A new multiple attribute group decision making method in intuitionistic fuzzy setting . . Appl. Math. Model. , , 2011 . . 35 ( ( 9 ): ): 4424 - - 4437 . . DOI: 10.1016/j.apm.2011.03.015 http://doi.org/10.1016/j.apm.2011.03.015 . .

F Chiclana , , , Garcia, J.M Tapia , , , Moral, M.J Del , , , 等 . . A statistical comparative study of different similarity measures of consensus in group decision making . . Inform. Sci. , , 2013 . . 221 110 - - 123 . . DOI: 10.1016/j.ins.2012.09.014 http://doi.org/10.1016/j.ins.2012.09.014 . .

Z.Q Feng , , , C Liu , , , H Huang . . Knowledge modeling based on interval-valued fuzzy rough set and similarity inference: prediction of welding distortion . . J. Zhejiang Univ.-Sci. C (Comput. & Electron.) , , 2014 . . 15 ( ( 8 ): ): 636 - - 650 . . DOI: 10.1631/jzus.C1300370 http://doi.org/10.1631/jzus.C1300370 . .

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 . .

E Herrera-Viedma , , , F.J Cabrerizo , , , J Kacprzyk , , , 等 . . A review of soft consensus models in a fuzzy environment . . Inform. Fus. , , 2014 . . 17 4 - - 13 . . DOI: 10.1016/j.inffus.2013.04.002 http://doi.org/10.1016/j.inffus.2013.04.002 . .

L.W Lee , , , S.M Chen . . A new method for fuzzy multiple attributes group decision-making based on the arithmetic operations of interval type-2 fuzzy sets . . 2008 . . Proc. 7th Int. Conf. on Machine Learning and Cybernetics . . 3084 - - 3089 . . DOI: 10.1109/ICMLC.2008.4620938 http://doi.org/10.1109/ICMLC.2008.4620938 . .

F Mata , , , L Martnez , , , E Herrera-Viedma . . An adaptive consensus support model for group decision-making problems in a multigranular fuzzy linguistic context . . IEEE Trans. Fuzzy Syst. , , 2009 . . 17 ( ( 2 ): ): 279 - - 290 . . DOI: 10.1109/TFUZZ.2009.2013457 http://doi.org/10.1109/TFUZZ.2009.2013457 . .

J.M Mendel , , , R.I John , , , F Liu . . Interval type-2 fuzzy logic systems made simple . . IEEE Trans. Fuzzy Syst. , , 2006 . . 14 ( ( 6 ): ): 808 - - 821 . . DOI: 10.1109/TFUZZ.2006.879986 http://doi.org/10.1109/TFUZZ.2006.879986 . .

J.M Mendel , , , L.A Zadeh , , , E Trillas , , , 等 . . What computing with words means to me . . IEEE Comput. Intell. Mag. , , 2010 . . 5 ( ( 1 ): ): 20 - - 26 . . DOI: 10.1109/MCI.2009.934561 http://doi.org/10.1109/MCI.2009.934561 . .

M Moharrer , , , H Tahayori , , , L Livi , , , 等 . . Interval type-2 fuzzy sets to model linguistic label perception in online services satisfaction . . Soft Comput. , , 2015 . . 19 ( ( 1 ): ): 237 - - 250 . . DOI: 10.1007/s00500-014-1246-4 http://doi.org/10.1007/s00500-014-1246-4 . .

I.J Prez , , , F.J Cabrerizo , , , S Alonso , , , 等 . . A new consensus model for group decision making problems with non-homogeneous experts . . IEEE Trans. Syst. Man Cybern. Syst. , , 2014 . . 44 ( ( 4 ): ): 494 - - 498 . . DOI: 10.1109/TSMC.2013.2259155 http://doi.org/10.1109/TSMC.2013.2259155 . .

F Sabahi , , , M.R Akbarzadeh-T . . A framework for analysis of extended fuzzy logic . . J. Zhejiang Univ.-Sci. C (Comput. & Electron.) , , 2014 . . 15 ( ( 7 ): ): 584 - - 591 . . DOI: 10.1631/jzus.C1300217 http://doi.org/10.1631/jzus.C1300217 . .

W Wang , , , X Liu , , , Y Qin . . Multi-attribute group decision making models under interval type-2 fuzzy environment . . Knowl.-Based Syst. , , 2012 . . 30 121 - - 128 . . DOI: 10.1016/j.knosys.2012.01.005 http://doi.org/10.1016/j.knosys.2012.01.005 . .

Z.J Wang , , , K.W Li . . A multi-step goal programming approach for group decision making with incomplete interval additive reciprocal comparison matrices . . Eur. J. Oper. Res. , , 2015 . . 242 ( ( 3 ): ): 890 - - 900 . . DOI: 10.1016/j.ejor.2014.10.025 http://doi.org/10.1016/j.ejor.2014.10.025 . .

D Wu , , , J.M Mendel . . On the continuity of type-1 and interval type-2 fuzzy logic systems . . IEEE Trans. Fuzzy Syst. , , 2011 . . 19 ( ( 1 ): ): 179 - - 192 . . DOI: 10.1109/TFUZZ.2010.2091962 http://doi.org/10.1109/TFUZZ.2010.2091962 . .

J Wu , , , F Chiclana . . A social network analysis trust-consensus based approach to group decision-making problems with interval-valued fuzzy reciprocal preference relations . . Knowl.-Based Syst. , , 2014 . . 59 97 - - 107 . . DOI: 10.1016/j.knosys.2014.01.017 http://doi.org/10.1016/j.knosys.2014.01.017 . .

J Wu , , , F Chiclana , , , E Herrera-Viedma . . Trust based consensus model for social network in an incomplete linguistic information context . . Appl. Soft Comput. , , 2015 . . 35 827 - - 839 . . DOI: 10.1016/j.asoc.2015.02.023 http://doi.org/10.1016/j.asoc.2015.02.023 . .

X Zhang , , , B Ge , , , J Jiang , , , 等 . . A new consensus model for group decision making using fuzzy linguistic preference relations with heterogeneous experts . . J. Intell. Fuzzy Syst. , , 2015 . . 30 ( ( 1 ): ): 171 - - 182 . . DOI: 10.3233/IFS-151744 http://doi.org/10.3233/IFS-151744 . .

Z Zhang , , , S Zhang . . A novel approach to multi attribute group decision making based on trapezoidal interval type-2 fuzzy soft sets . . Appl. Math. Model. , , 2013 . . 37 ( ( 7 ): ): 4948 - - 4971 . . DOI: 10.1016/j.apm.2012.10.006 http://doi.org/10.1016/j.apm.2012.10.006 . .

Views

Downloads

CSCD

Alert me when the article has been cited

Submit

Tools

Publicity Resources

No data

Related Author

No data

Related Institution

No data

Chat

Address：Zhejiang University Press, 148 Tianmushan Road, Hangzhou, China Postal code：310028
Tel：+86-571-88273162 Email：fitee@zju.edu.cn
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰