Criteria Interdependence in Fuzzy Multi-criteria Decision Making: A Survey

In this paper, we investigate how Bonferroni mean (BM) operator models criteria interdependence in fuzzy multi-criteria decision making problems. We first study definitions of different types of fuzzy sets proposed in 1960s–2010s; we then introduce definitions of aggregation functions and the Bonferroni mean operator; we finally survey the work of modeling criteria interdependence by using BM and its extensions.

[1]  Zeshui Xu,et al.  Geometric Bonferroni means with their application in multi-criteria decision making , 2013, Knowl. Based Syst..

[2]  Zeshui Xu,et al.  Hesitant fuzzy Bonferroni means for multi-criteria decision making , 2013, J. Oper. Res. Soc..

[3]  Ronald R. Yager,et al.  Pythagorean fuzzy subsets , 2013, 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS).

[4]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[5]  Zeshui Xu,et al.  Operations and integrations of probabilistic hesitant fuzzy information in decision making , 2017, Inf. Fusion.

[6]  Jerry M. Mendel,et al.  Type-2 fuzzy sets made simple , 2002, IEEE Trans. Fuzzy Syst..

[7]  Huayou Chen,et al.  Intuitionistic Fuzzy Interaction Bonferroni Means and Its Application to Multiple Attribute Decision Making , 2015, IEEE Transactions on Cybernetics.

[8]  K. Atanassov,et al.  Interval-Valued Intuitionistic Fuzzy Sets , 2019, Studies in Fuzziness and Soft Computing.

[9]  V. Torra,et al.  A framework for linguistic logic programming , 2010 .

[10]  Zeshui Xu,et al.  A multi-criteria decision making procedure based on interval-valued intuitionistic fuzzy bonferroni means , 2011 .

[11]  Fanyong Meng,et al.  Correlation Coefficients of Hesitant Fuzzy Sets and Their Application Based on Fuzzy Measures , 2015, Cognitive Computation.

[12]  Ronald R. Yager,et al.  Generalized Bonferroni mean operators in multi-criteria aggregation , 2010, Fuzzy Sets Syst..

[13]  Radko Mesiar,et al.  A Model Based on Linguistic 2-Tuples for Dealing With Heterogeneous Relationship Among Attributes in Multi-expert Decision Making , 2015, IEEE Transactions on Fuzzy Systems.

[14]  Shyi-Ming Chen,et al.  Multiple attribute group decision making based on intuitionistic fuzzy interaction partitioned Bonferroni mean operators , 2017, Inf. Sci..

[15]  Yi Yang,et al.  On Generalized Extended Bonferroni Means for Decision Making , 2016, IEEE Transactions on Fuzzy Systems.

[16]  Carlo Bonferroni.  Sulle medie multiple di potenze , 1950 .

[17]  Zeshui Xu,et al.  Intuitionistic Fuzzy Bonferroni Means , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[18]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[19]  José M. Merigó,et al.  Bonferroni means with distance measures and the adequacy coefficient in entrepreneurial group theory , 2016, Knowl. Based Syst..

[20]  Witold Pedrycz,et al.  Intuitionistic Multiplicative Group Analytic Hierarchy Process and Its Use in Multicriteria Group Decision-Making , 2018, IEEE Transactions on Cybernetics.

[21]  Ronald R. Yager,et al.  On generalized Bonferroni mean operators for multi-criteria aggregation , 2009, Int. J. Approx. Reason..

[22]  R. Yager.  ON THE THEORY OF BAGS , 1986 .

[23]  Gleb Beliakov,et al.  On extending generalized Bonferroni means to Atanassov orthopairs in decision making contexts , 2013, Fuzzy Sets Syst..

[24]  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..

[25]  Shyi-Ming Chen,et al.  Group Decision Making Based on Heronian Aggregation Operators of Intuitionistic Fuzzy Numbers , 2017, IEEE Transactions on Cybernetics.

[26]  Huayou Chen,et al.  Hesitant Fuzzy Power Bonferroni Means and Their Application to Multiple Attribute Decision Making , 2015, IEEE Transactions on Fuzzy Systems.

[27]  Zeshui Xu,et al.  Hesitant fuzzy geometric Bonferroni means , 2012, Inf. Sci..

[28]  Peide Liu,et al.  Interval-Valued Intuitionistic Fuzzy Power Bonferroni Aggregation Operators and Their Application to Group Decision Making , 2017, Cognitive Computation.

[29]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[30]  Dejian Yu,et al.  Interval-valued intuitionistic fuzzy Heronian mean operators and their application in multi-criteria decision making , 2012 .

[31]  Peide Liu,et al.  Multiple attribute group decision making method based on interval-valued intuitionistic fuzzy power Heronian aggregation operators , 2017, Comput. Ind. Eng..