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 7 Issue 2
Mar.  2020

IEEE/CAA Journal of Automatica Sinica

  • JCR Impact Factor: 11.8, Top 4% (SCI Q1)
    CiteScore: 17.6, Top 3% (Q1)
    Google Scholar h5-index: 77, TOP 5
Turn off MathJax
Article Contents
Harish Garg and Nancy, "Linguistic Single-Valued Neutrosophic Power Aggregation Operators and Their Applications to Group Decision-Making Problems," IEEE/CAA J. Autom. Sinica, vol. 7, no. 2, pp. 546-558, Mar. 2020. doi: 10.1109/JAS.2019.1911522
Citation: Harish Garg and Nancy, "Linguistic Single-Valued Neutrosophic Power Aggregation Operators and Their Applications to Group Decision-Making Problems," IEEE/CAA J. Autom. Sinica, vol. 7, no. 2, pp. 546-558, Mar. 2020. doi: 10.1109/JAS.2019.1911522

Linguistic Single-Valued Neutrosophic Power Aggregation Operators and Their Applications to Group Decision-Making Problems

doi: 10.1109/JAS.2019.1911522
More Information
  • Linguistic single-valued neutrosophic set (LSVNS) is a more reliable tool, which is designed to handle the uncertainties of the situations involving the qualitative data. In the present manuscript, we introduce some power aggregation operators (AOs) for the LSVNSs, whose purpose is to diminish the influence of inevitable arguments about the decision-making process. For it, first we develop some averaging power operators, namely, linguistic single-valued neutrosophic (LSVN) power averaging, weighted average, ordered weighted average, and hybrid averaging AOs along with their desirable properties. Further, we extend it to the geometric power AOs for LSVNSs. Based on the proposed work; an approach to solve the group decision-making problems is given along with the numerical example. Finally, a comparative study and the validity tests are present to discuss the reliability of the proposed operators.

     

  • loading
  • [1]
    L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, pp. 338–353, 1965. doi: 10.1016/S0019-9958(65)90241-X
    [2]
    K. T. Atanassov, “Intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 20, pp. 87–96, 1986. doi: 10.1016/S0165-0114(86)80034-3
    [3]
    H. Garg, “Novel intuitionistic fuzzy decision making method based on an improved operation laws and its application,” Engineering Applications of Artificial Intelligence, vol. 60, pp. 164–174, 2017. doi: 10.1016/j.engappai.2017.02.008
    [4]
    H. Garg, “Some robust improved geometric aggregation operators under interval-valued intuitionistic fuzzy environment for multi-criteria decision-making process,” J. Industrial &Management Optimization, vol. 14, no. 1, pp. 283–308, 2018.
    [5]
    P. Liu and S.-M. Chen, “Multiattribute group decision making based on intuitionistic 2-tuple linguistic information,” Information Sciences, vol. 430–431, pp. 599–619, 2018. doi: 10.1016/j.ins.2017.11.059
    [6]
    X. Wang and E. Triantaphyllou, “Ranking irregularities when evaluating alternatives by using some electre methods,” Omega - Int. J. Management Science, vol. 36, pp. 45–63, 2008. doi: 10.1016/j.omega.2005.12.003
    [7]
    H. Garg and R. Arora, “Dual hesitant fuzzy soft aggregation operators and their application in decision making,” Cognitive Computation, vol. 10, no. 5, pp. 769–789, 2018. doi: 10.1007/s12559-018-9569-6
    [8]
    P. Liu and P. Wang, “Some improved linguistic intuitionistic fuzzy aggregation operators and their applications to multiple-attribute decision making,” Int. J. Information Technology &Decision Making, vol. 16, no. 3, pp. 817–850, 2017.
    [9]
    R. Arora and H. Garg, “A robust correlation coefficient measure of dual hesistant fuzzy soft sets and their application in decision making,” Engineering Applications of Artificial Intelligence, vol. 72, pp. 80–92, 2018. doi: 10.1016/j.engappai.2018.03.019
    [10]
    R. Arora and H. Garg, “Prioritized averaging/geometric aggregation operators under the intuitionistic fuzzy soft set environment,” Scientia Iranica, vol. 25, no. 1, pp. 466–482, 2018.
    [11]
    H. Garg and K. Kumar, “An advanced study on the similarity measures of intuitionistic fuzzy sets based on the set pair analysis theory and their application in decision making,” Soft Computing, vol. 22, no. 15, pp. 4959–4970, 2018. doi: 10.1007/s00500-018-3202-1
    [12]
    G. J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice Hall of India Private Limited, New Delhi, 2005.
    [13]
    H. Garg and R. Arora, “Bonferroni mean aggregation operators under intuitionistic fuzzy soft set environment and their applications to decisionmaking,” J. Operational Research Society, vol. 69, no. 11, pp. 1711–1724, 2018. doi: 10.1080/01605682.2017.1409159
    [14]
    F. Smarandache, Neutrosophy. Neutrosophic Probability, Set, and Logic, ProQuest Information & Learning. Ann Arbor, Michigan, USA, 1998.
    [15]
    H. Wang, F. Smarandache, Y. Q. Zhang, and R. Sunderraman, “Single valued neutrosophic sets,” Multispace Multistructure, vol. 4, pp. 410–413, 2010.
    [16]
    J. Ye, “A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets,” J. Intelligent and Fuzzy Systems, vol. 26, no. 5, pp. 2459–2466, 2014.
    [17]
    J. J. Peng, J. Q. Wang, J. Wang, H. Y. Zhang, and Z. H. Chen, “Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems,” Int. J. System Science, vol. 47, no. 10, pp. 2342–2358, 2016. doi: 10.1080/00207721.2014.994050
    [18]
    Nancy and H. Garg, “Novel single-valued neutrosophic decision making operators under frank norm operations and its application,” Int. J. Uncertainty Quantification, vol. 6, no. 4, pp. 361–375, 2016. doi: 10.1615/Int.J.UncertaintyQuantification.v6.i4
    [19]
    P. Liu, Y. Chu, Y. Li, and Y. Chen, “Some generalized neutrosophic number hamacher aggregation operators and their application to group decision making,” Int. J. Fuzzy Systems, vol. 16, no. 2, pp. 242–255, 2014.
    [20]
    Y. Li, P. Liu, and Y. Chen, “Some single valued neutrosophic number heronian mean operators and their application in multiple attribute group decision making,” Informatica, vol. 27, no. 1, pp. 85–110, 2016. doi: 10.15388/Informatica.2016.78
    [21]
    P. Liu, T. Mahmood, and Q. Khan, “Group decision making based on power heronian aggregation operators under linguistic neutrosophic environment,” Int. J. Fuzzy Systems, vol. 20, no. 3, pp. 970–985, 2018. doi: 10.1007/s40815-018-0450-2
    [22]
    H. Garg and Nancy, “Some hybrid weighted aggregation operators under neutrosophic set environment and their applications to multicriteria decision-making,” Applied Intelligence, vol. 48, no. 12, pp. 4871–4888, 2018. doi: 10.1007/s10489-018-1244-9
    [23]
    X. H. Wu, J. Q. Wang, J. J. Peng, and X. H. Chen, “Cross-entropy and prioritized aggregation operator with simplified neutrosophic sets and their application in multi-criteria decision-making problems,” Int. J. Fuzzy Systems, vol. 18, no. 6, pp. 1104–1116, 2016. doi: 10.1007/s40815-016-0180-2
    [24]
    P. Liu and Y. Wang, “Interval neutrosophic prioritized owa operator and its application to multiple attribute decision making,” J. Systems Science and Complexity, vol. 29, no. 3, pp. 681–697, 2016.
    [25]
    P. Ji, J. Q. Wang, and H.Y. Zhang, “Frank prioritized bonferroni mean operator with single-valued neutrosophic sets and its application in selecting third-party logistics providers,” Neural Computing and Applications, vol. 30, no. 3, pp. 799–823, 2018. doi: 10.1007/s00521-016-2660-6
    [26]
    H. Garg and Nancy, “Non-linear programming method for multi-criteria decision making problems under interval neutrosophic set environment,” Applied Intelligence, vol. 48, no. 8, pp. 2199–2213, 2018. doi: 10.1007/s10489-017-1070-5
    [27]
    L. Yang and B. Li, “A multi-criteria decision-making method using power aggregation operators for single-valued neutrosophic sets,” Int. J. Database and Theory and Application, vol. 9, no. 2, pp. 23–32, 2016.
    [28]
    Nancy and H. Garg, “An improved score function for ranking neutrosophic sets and its application to decision-making process,” Int. J. Uncertainty Quantification, vol. 6, no. 5, pp. 377–385, 2016. doi: 10.1615/Int.J.UncertaintyQuantification.v6.i5
    [29]
    P. Liu and L. Shi, “Some neutrosophic uncertain linguistic number heronian mean operators and their application to multi-attribute group decision making,” Neural Computing and Applications, vol. 28, no. 5, pp. 1079–1093, 2017. doi: 10.1007/s00521-015-2122-6
    [30]
    H. Garg and Nancy, “Multi-criteria decision-making method based on prioritized muirhead mean aggregation operator under neutrosophic set environment,” Symmetry, vol. 10, no. 7, pp. 280, 2018. doi: 10.3390/sym10070280
    [31]
    H. Garg and Nancy, “Some new biparametric distance measures on single-valued neutrosophic sets with applications to pattern recognition and medical diagnosis,” Information, vol. 8, pp. 162, 2017. doi: 10.3390/info8040162
    [32]
    H. Garg and Nancy, “New logarithmic operational laws and their applications to multiattribute decision making for single-valued neutrosophic numbers,” Cognitive Systems Research, vol. 52, pp. 931–946, 2018. doi: 10.1016/j.cogsys.2018.09.001
    [33]
    L. A. Zadeh, “The concept of a linguistic variable and its application to approximate reasoning: Part-1,” Information Science, vol. 8, pp. 199–251, 1975. doi: 10.1016/0020-0255(75)90036-5
    [34]
    Y. Y. Li, H. Y. Zhang, and J. Q. Wang, “Linguistic neutrosophic sets and its application to multi-criteria decision-making problems,” Int. J. Uncertainty Quantification, vol. 7, no. 2, pp. 135–154, 2017. doi: 10.1615/Int.J.UncertaintyQuantification.v7.i2
    [35]
    Z. Fang and J. Ye, “Multiple attribute group decision-making method based on linguistic neutrosophic numbers,” Symmetry, vol. 9, pp. 111, 2017. doi: 10.3390/sym9070111
    [36]
    H. Garg and Nancy, “Linguistic single-valued neutrosophic prioritized aggregation operators and their applications to multiple-attribute group decision-making,” J. Ambient Intelligence and Humanized Computing, vol. 9, no. 6, pp. 1975–1997, 2018. doi: 10.1007/s12652-018-0723-5
    [37]
    W. Liang, G. Zhao, and H. Wu, “Evaluating investment risks of metallic mines using an extended topsis method with linguistic neutrosophic numbers,” Symmetry, vol. 9, pp. 149, 2017. doi: 10.3390/sym9080149
    [38]
    R. R. Yager, “The power average operator,” IEEE Systems,Man,and Cybernetics Society, vol. 31, no. 6, pp. 724–731, 2001. doi: 10.1109/3468.983429
    [39]
    H. Garg, “Linguistic Pythagorean fuzzy sets and its applications in multiattribute decision-making process,” Int. J. Intelligent Systems, vol. 33, no. 6, pp. 1234–1263, 2018. doi: 10.1002/int.2018.33.issue-6
    [40]
    H. Garg, “Hesitant Pythagorean fuzzy sets and their aggregation operators in multiple attribute decision making,” Int. J. Uncertainty Quantification, vol. 8, no. 3, pp. 267–289, 2018. doi: 10.1615/Int.J.UncertaintyQuantification.v8.i3
    [41]
    H. Garg and R. Arora, “Generalized and group-based generalized intuitionistic fuzzy soft sets with applications in decision-making,” Applied Intelligence, vol. 48, no. 2, pp. 343–356, 2018. doi: 10.1007/s10489-017-0981-5
    [42]
    H. Garg, “Novel scaled prioritized intuitionistic fuzzy soft interaction averaging aggregation operators and their application to multi criteria decision making,” Engineering Applications of Artificial Intelligence, vol. 71C, pp. 100–112, 2018.
    [43]
    H. Garg, “New exponential operational laws and their aggregation operators for interval-valued Pythagorean fuzzy multicriteria decision-making,” Int. J. Intelligent Systems, vol. 33, no. 3, pp. 653–683, 2018. doi: 10.1002/int.2018.33.issue-3
    [44]
    Z. P. Tian, J. Wang, J. Q. Wang, and H. Y. Zhang, “Simplified neutrosophic linguistic multi-criteria group decision-making approach to green product development,” Group Decision and Negotiation, vol. 26, no. 3, pp. 597–627, 2017. doi: 10.1007/s10726-016-9479-5
    [45]
    Y. Y. Li, J. Q. Wang, and T. L. Wang, “A linguistic neutrosophic multicriteria group decision-making approach with edas method,” Arabian J. Science and Engineering, pp. 1–13, 2018.
    [46]
    J. J. Peng, J. Q. Wang, and H. J. Hua, “Multi-criteria decision-making approach based on single-valued neutrosophic hesitant fuzzy geometric weighted choquet integral heronian mean operator,” J. Intelligent &Fuzzy Systems, vol. 35, no. 3, pp. 3661–3674, 2018.
    [47]
    J. J. Peng, J. Q. Wang, and X. H. Wu, “An extension of the electre approach with multi-valued neutrosophic information,” Neural Computing and Applications, vol. 28, no. 1, pp. 1011–1022, 2017.
    [48]
    H. Garg and K. Kumar, “Some aggregation operators for linguistic intuitionistic fuzzy set and its application to group decision-making process using the set pair analysis,” Arabian J. Science and Engineering, vol. 43, no. 6, pp. 3213–3227, 2018. doi: 10.1007/s13369-017-2986-0

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(11)

    Article Metrics

    Article views (1293) PDF downloads(70) Cited by()

    Highlights

    • A concept of linguistic single-valued neutrosophic set is utilized to handle the uncertainties.
    • Power aggregation operators are proposed to aggregate the information.
    • Group decision making approach is presented to solve the decision-making problems.
    • The effectiveness and feasibility of algorithm are demonstrated by a numerical example.
    • A systematic comparison between the proposed approach results and the other papers results is made.

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return