Extending Borda Rule Under q-rung Orthopair Fuzzy Set for Multi-attribute Group Decision-Making

With a view of generalizing intuitionistic fuzzy set (IFS), q-rung orthopair fuzzy set (q-ROFS) was developed. The q-ROFS mitigates the limitation of IFS in terms of data representation and provides a more flexible environment for decision makers (DMs) to easily express their preference and non-preference values. Motivated by the power of q-ROFS, in this paper efforts are made to propose q-rung orthopair fuzzy preference relations (q-ROFPRs). Further, a new operator called simple q-rung orthopair fuzzy weighted geometry (Sq-ROFWG) is proposed for aggregating preferences. Then, we extend the popular Borda rule to q-ROFPR for sensible ranking of alternatives. Also, the Borda rule is investigated from both broad and narrow context. The practicality and usefulness of the proposed method is demonstrated by using a cloud vendor (CV) selection example. Finally, the strength and weakness of the proposal is discussed.

[1]  Deng-Feng Li,et al.  A MAGDM Method Considering the Amount and Reliability Information of Interval-Valued Intuitionistic Fuzzy Sets , 2017, Int. J. Fuzzy Syst..

[2]  Naif Alajlan,et al.  Approximate reasoning with generalized orthopair fuzzy sets , 2017, Inf. Fusion.

[3]  Hui Gao,et al.  Some q‐rung orthopair fuzzy Heronian mean operators in multiple attribute decision making , 2018, Int. J. Intell. Syst..

[4]  Kaiqi Zou.  Borda Method of Fuzzy Decision Making , 2012, 2012 International Conference on Computer Science and Electronics Engineering.

[5]  Ronald R. Yager,et al.  Generalized Orthopair Fuzzy Sets , 2017, IEEE Transactions on Fuzzy Systems.

[6]  Evangelos Triantaphyllou,et al.  Multi-Criteria Decision Making: An Operations Research Approach , 1998 .

[7]  Asma Khalid,et al.  Incomplete Hesitant Fuzzy Preference Relations in Group Decision Making , 2016, International Journal of Fuzzy Systems.

[8]  Sen Liu,et al.  Decision making for the selection of cloud vendor: An improved approach under group decision-making with integrated weights and objective/subjective attributes , 2016, Expert Syst. Appl..

[9]  Huchang Liao,et al.  Hesitant Fuzzy Linguistic Group Decision Making with Borda Rule , 2018, GDN.

[10]  Peide Liu,et al.  Some q‐Rung Orthopai Fuzzy Bonferroni Mean Operators and Their Application to Multi‐Attribute Group Decision Making , 2018, Int. J. Intell. Syst..

[11]  Peide Liu,et al.  Multiple attribute decision‐making method for dealing with heterogeneous relationship among attributes and unknown attribute weight information under q‐rung orthopair fuzzy environment , 2018, Int. J. Intell. Syst..

[12]  Atsushi Nagai,et al.  A Hierarchical Structure for the Sharp Constants of Discrete Sobolev Inequalities on a Weighted Complete Graph , 2017, Symmetry.

[13]  José Luis García-Lapresta,et al.  Defining the Borda count in a linguistic decision making context , 2009, Inf. Sci..

[14]  Francisco Herrera,et al.  Hesitant Fuzzy Sets: State of the Art and Future Directions , 2014, Int. J. Intell. Syst..

[15]  Zeshui Xu,et al.  Some Algorithms for Group Decision Making with Intuitionistic Fuzzy Preference Information , 2014, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[16]  José Luis García-Lapresta,et al.  Borda Count Versus Approval Voting: A Fuzzy Approach , 2002 .

[17]  Zeshui Xu,et al.  Framework of Group Decision Making With Intuitionistic Fuzzy Preference Information , 2015, IEEE Transactions on Fuzzy Systems.

[18]  Zeshui Xu,et al.  Multiplicative consistency of interval-valued intuitionistic fuzzy preference relation , 2014, J. Intell. Fuzzy Syst..

[19]  Shyi-Ming Chen,et al.  Multiple-Attribute Group Decision-Making Based on q-Rung Orthopair Fuzzy Power Maclaurin Symmetric Mean Operators , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[20]  Runtong Zhang,et al.  A Novel Approach to Multi-Attribute Group Decision-Making with q-Rung Picture Linguistic Information , 2018, Symmetry.

[21]  Francisco Rodrigues Lima Junior,et al.  A comparison between Fuzzy AHP and Fuzzy TOPSIS methods to supplier selection , 2014, Appl. Soft Comput..

[22]  Zeshui Xu,et al.  A survey of approaches to decision making with intuitionistic fuzzy preference relations , 2015, Knowl. Based Syst..

[23]  Wen Sheng Du,et al.  Minkowski‐type distance measures for generalized orthopair fuzzy sets , 2018, Int. J. Intell. Syst..

[24]  Zeshui Xu,et al.  Consistency of the fused intuitionistic fuzzy preference relation in group intuitionistic fuzzy analytic hierarchy process , 2015, Appl. Soft Comput..