A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Volume 5 Issue 3
May  2018

IEEE/CAA Journal of Automatica Sinica

  • JCR Impact Factor: 15.3, Top 1 (SCI Q1)
    CiteScore: 23.5, Top 2% (Q1)
    Google Scholar h5-index: 77, TOP 5
Turn off MathJax
Article Contents
Yang Lin and Yingming Wang, "Group Decision Making With Consistency of Intuitionistic Fuzzy Preference Relations Under Uncertainty," IEEE/CAA J. Autom. Sinica, vol. 5, no. 3, pp. 741-748, Mar. 2018. doi: 10.1109/JAS.2016.7510037
Citation: Yang Lin and Yingming Wang, "Group Decision Making With Consistency of Intuitionistic Fuzzy Preference Relations Under Uncertainty," IEEE/CAA J. Autom. Sinica, vol. 5, no. 3, pp. 741-748, Mar. 2018. doi: 10.1109/JAS.2016.7510037

Group Decision Making With Consistency of Intuitionistic Fuzzy Preference Relations Under Uncertainty

doi: 10.1109/JAS.2016.7510037
Funds:

the National Natural Science Foundation of China 71371053

the Social Science Foundation of Fujian Province FJ2015C111

More Information
  • Intuitionistic fuzzy preference relation (IFPR) is a suitable technique to express fuzzy preference information by decision makers (DMs). This paper aims to provide a group decision making method where DMs use the IFPRs to indicate their preferences with uncertain weights. To begin with, a model to derive weight vectors of alternatives from IFPRs based on multiplicative consistency is presented. Specifically, for any IFPR, by minimizing its absolute deviation from the corresponding consistent IFPR, the weight vectors are generated. Secondly, a method to determine relative weights of DMs depending on preference information is developed. After that we prioritize alternatives based on the obtained weights considering the risk preference of DMs. Finally, this approach is applied to the problem of technical risks assessment of armored equipment to illustrate the applicability and superiority of the proposed method.

     

  • loading
  • [1]
    S. A. Orlovsky, "Decision-making with a fuzzy preference relation, " Fuzzy Sets Syst. , vol. 1, no. 3, pp. 155-167, Jul. 1978. http://www.ams.org/mathscinet-getitem?mr=484282
    [2]
    K. T. Atanassov, "Intuitionistic fuzzy sets, " Fuzzy Sets Syst. , vol. 20, no. 1, pp. 87-96, Aug. 1986. http://www.ams.org/mathscinet-getitem?mr=2479742
    [3]
    Z. S. Xu and H. C. Liao, "A survey of approaches to decision making with intuitionistic fuzzy preference relations, " Knowl. Based Syst. , vol. 80, 131-142, May 2015. http://www.sciencedirect.com/science/article/pii/S0950705115000064
    [4]
    Z. S. Xu, "Intuitionistic preference relations and their application in group decision making. Inf. Sci. , vol. 177, no. 11, pp. 2363-2379, Jun. 2007. doi: 10.1016/j.ins.2006.12.019
    [5]
    Z. S. Xu and H. C. Liao, "Intuitionistic fuzzy analytic hierarchy process, " IEEE Trans. Fuzzy Syst. , vol. 22, no. 4, pp. 749-761, Aug. 2014. http://ieeexplore.ieee.org/document/6557050
    [6]
    H. W. Liu and G. J. Wang, "Multi-criteria decision-making methods based on intuitionistic fuzzy sets, " Eur. J. Operat. Res. , vol. 179, no. 1, pp. 220-233, May 2007. http://www.sciencedirect.com/science/article/pii/S0377221706002682
    [7]
    H. Behret, "Group decision making with intuitionistic fuzzy preference relations, " Knowl. Based Syst. , vol. 70, pp. 33-43, Nov. 2014. http://www.sciencedirect.com/science/article/pii/S0950705114001142
    [8]
    T. L. Saaty, "Axiomatic foundation of the analytic hierarchy process, " Manag. Sci. , vol. 32, no. 7, pp. 841-855, Feb. 1986. http://www.jstor.org/stable/2631765
    [9]
    H. C. Liao and Z. S. Xu, "Some algorithms for group decision making with intuitionistic fuzzy preference information, " Int. J. Unc. Fuzz. Knowl. Based Syst. , vol. 22, no. 4, pp. 505-529, Aug. 2014. doi: 10.1142/S0218488514500251
    [10]
    E. Szmidt and J. Kacprzyk, "A consensus-reaching process under intuitionistic fuzzy preference relations, " Int. J. Intell. Syst. , vol. 18, no. 7, pp. 837-852, Jul. 2003. doi: 10.1002/int.10119/citedby
    [11]
    E. Szmidt and J. Kacprzyk, "A new concept of a similarity measure for intuitionistic fuzzy sets and its use in group decision making, " in Modeling Decisions for Artificial Intelligence, V. Torra, Y. Narukawa, and S. Miyamoto, Eds. Berlin Heidelberg: Springer, 2005, pp. 272-282. doi: 10.1007%2F11526018_27
    [12]
    Z. S. Xu and R. R. Yager, "Intuitionistic and interval-valued intutionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group, " Fuzzy Optim. Decis. Making, vol. 8, no. 2, pp. 123-139, Jun. 2009. http://www.ams.org/mathscinet-getitem?mr=2966399
    [13]
    Z. W. Gong, L. S. Li, F. X. Zhou, and T. X. Yao, "Goal programming approaches to obtain the priority vectors from the intuitionistic fuzzy preference relations, " Comput. Ind. Eng. , vol. 57, no. 4, pp. 1187-1193, Nov. 2009. http://www.sciencedirect.com/science/article/pii/S0360835209001387
    [14]
    F. Chiclana, E. Herrera-Viedma, S. Alonso, R. Alberto, and M. Pereira, "Preferences and consistency issues in group decision making, " Fuzzy Sets and Their Extensions: Representation, Aggregation and Models, H. Bustince, F. Herrera, and J. Montero, Eds. Berlin Heidelberg: Springer, 2008, pp. 219-237.
    [15]
    Z. J. Wang, "Derivation of intuitionistic fuzzy weights based on intuitionistic fuzzy preference relations, " Appl. Math. Modell. , vol. 37, no. 9, pp. 6377-6388, May 2013. doi: 10.1016/j.apm.2013.01.021
    [16]
    H. C. Liao and Z. S. Xu, "Priorities of intuitionistic fuzzy preference relation based on multiplicative consistency, " IEEE Trans. Fuzzy Syst. , vol. 22, no. 6, pp. 1669-1681, Dec. 2014. http://ieeexplore.ieee.org/document/6722914/
    [17]
    Y. M. Wang and Z. P. Fan, "Fuzzy preference relations: aggregation and weight determination, " Comput. Ind. Eng. , vol. 53, no. 1, pp. 163-172, Aug. 2007. http://dl.acm.org/citation.cfm?id=1276565
    [18]
    D. F. Li, L. L. Wang, and G. H. Chen, "Group decision making methodology based on the Atanassov's intuitionistic fuzzy set generalized OWA operator, " Int. J. Unc. Fuzz. Knowl. Based Syst. , vol. 18, no. 6, pp. 801-817, Dec. 2010. doi: 10.1142/S0218488510006805
    [19]
    Z. X. Wang and X. P. Luo, "A method for ranking intuitionistic fuzzy numbers based on the risk preference of the decision maker, " Fuzzy Syst. Math., vol. 28, no. 6, pp. 129-136, 2014. https://www.sciencedirect.com/science/article/pii/S1568494614002312
    [20]
    Y. M. Wang, J. B. Yang, D. L. Xu, and K. S. Chin, "On the combination and normalization of interval-valued belief structures, " Inf. Sci. , vol. 177, no. 5, pp. 1230-1247, Mar. 2007. http://www.sciencedirect.com/science/article/pii/S0020025506002209
    [21]
    S. P. Wan, F. Wang, L. L. Lin, and J. Y. Dong, "An intuitionistic fuzzy linear programming method for logistics outsourcing provider selection, " Knowl. Based Syst. , vol. 82, pp. 80-94, Jul. 2015. doi: 10.1016/j.knosys.2015.02.027
    [22]
    Y. J. Zhang, P. J. Ma, X. H. Su, and C. P. Zhang, "Multi-attribute group decision making under interval-valued intuitionistic fuzzy environment, " Acta Autom. Sinica, vol. 38, no. 2, pp. 220-227, Feb. 2012. http://www.sciencedirect.com/science/article/pii/S1874102911603005
    [23]
    E. N. Weiss and V. R. Rao, "AHP design issues for large-scale systems, " Decis. Sci. , vol. 18, no. 1, pp. 43-61, Jan. 1987. doi: 10.1111/j.1540-5915.1987.tb01502.x/full
    [24]
    Y. M. Wang, C. Parkan, and Y. Luo, "Priority estimation in the AHP through maximization of correlation coefficient, " Appl. Math. Modell. , vol. 31, no. 12, pp. 2711-2718, Dec. 2007. http://www.sciencedirect.com/science/article/pii/S0307904X06002733
    [25]
    Y. L. Wei, J. B. Qiu, H. R. Karimi, and M. Wang, "New results on H dynamic output feedback control for Markovian jump systems with time-varying delay and defective mode information, " Opt. Control Appl. Methods, vol. 35, no. 6, pp. 656-675, Nov. -Dec. 2014.

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Tables(3)

    Article Metrics

    Article views (1279) PDF downloads(75) Cited by()

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return