A GRP-basedHesitant Fuzzy Multiple Attribute Decision MakingMethod and Its Application to E-Commerce Risk Assessment

With respect to multiple attribute decision making (MADM) problems in which the attribute values take the form of hesitant fuzzy elements, the traditional grey relational projection (GRP) method is extended to solve multiple attribute decision making problems under hesitant fuzzy environment. Based on the hesitant fuzzy decision matrix provided by decision makers, all feasible alternatives are ranked according to the descending order of relative grey relational projections, and the most desirable alternative(s) should have the largest grey relational projection on positive ideal solution and the smallest grey relational projection on negative ideal solution. Finally, a numerical example of e-commerce risk assessment is given to illustrate the application of the proposed method.

[1]  Zeshui Xu,et al.  Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information , 2013, Knowl. Based Syst..

[2]  José M. Merigó,et al.  Induced aggregation operators in decision making with the Dempster‐Shafer belief structure , 2009, Int. J. Intell. Syst..

[3]  Zeshui Xu,et al.  A VIKOR-based method for hesitant fuzzy multi-criteria decision making , 2013, Fuzzy Optimization and Decision Making.

[4]  Ruzhu Wang,et al.  A new approach to performance analysis of ejector refrigeration system using grey system theory , 2009 .

[5]  Marina Bosch,et al.  Fuzzy Multiple Attribute Decision Making Methods And Applications , 2016 .

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

[7]  Radko Mesiar,et al.  Hesitant L ‐Fuzzy Sets , 2017, Int. J. Intell. Syst..

[8]  Zeshui Xu,et al.  Projection Models for Intuitionistic Fuzzy Multiple Attribute Decision Making , 2010, Int. J. Inf. Technol. Decis. Mak..

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

[10]  Masaharu Mizumoto,et al.  Some Properties of Fuzzy Sets of Type 2 , 1976, Inf. Control..

[11]  Huawen Liu,et al.  Multi-criteria decision-making methods based on intuitionistic fuzzy sets , 2007, Eur. J. Oper. Res..

[12]  Thomas L. Saaty,et al.  Multicriteria Decision Making: The Analytic Hierarchy Process: Planning, Priority Setting, Resource Allocation , 1990 .

[13]  Zeshui Xu,et al.  Distance and similarity measures for hesitant fuzzy sets , 2011, Inf. Sci..

[14]  Sadaaki Miyamoto,et al.  Remarks on basics of fuzzy sets and fuzzy multisets , 2005, Fuzzy Sets Syst..

[15]  Zeshui Xu,et al.  Hesitant fuzzy information aggregation in decision making , 2011, Int. J. Approx. Reason..

[16]  Vicenç Torra,et al.  On hesitant fuzzy sets and decision , 2009, 2009 IEEE International Conference on Fuzzy Systems.

[17]  Jin-Han Park,et al.  Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision making problems , 2009, Math. Comput. Model..

[18]  Zhiming Zhang,et al.  Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making , 2013, Inf. Sci..

[19]  Peide Liu,et al.  A grey relational projection method for multi-attribute decision making based on intuitionistic trapezoidal fuzzy number , 2013 .

[20]  Na Chen,et al.  Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis , 2013 .

[21]  Guiwu Wei,et al.  Hesitant fuzzy prioritized operators and their application to multiple attribute decision making , 2012, Knowl. Based Syst..

[22]  Ding-Hong Peng,et al.  Generalized hesitant fuzzy synergetic weighted distance measures and their application to multiple criteria decision-making , 2013 .

[23]  WenKun-Li,et al.  Applying Grey Relational Analysis and Grey Decision-Making to evaluate the relationship between company attributes and its financial performance-A case study of venture capital enterprises in Taiwan , 2007 .

[24]  Zeshui Xu,et al.  On distance and correlation measures of hesitant fuzzy information , 2011, Int. J. Intell. Syst..

[25]  Youyin Jing,et al.  Application of improved grey relational projection method to evaluate sustainable building envelope performance , 2010 .

[26]  Miin-Shen Yang,et al.  Similarity, inclusion and entropy measures between type-2 fuzzy sets based on the Sugeno integral , 2011, Math. Comput. Model..

[27]  H. Carter.  Fuzzy Sets and Systems — Theory and Applications , 1982 .

[28]  G. Wei,et al.  Extension of VIKOR method for decision making problem based on hesitant fuzzy set , 2013 .

[29]  Kun-Li Wen,et al.  Applying Grey Relational Analysis and Grey Decision-Making to evaluate the relationship between company attributes and its financial performance - A case study of venture capital enterprises in Taiwan , 2007, Decis. Support Syst..

[30]  Gwo-Hshiung Tzeng,et al.  Extended VIKOR method in comparison with outranking methods , 2007, Eur. J. Oper. Res..

[31]  Thomas K. L. Tong,et al.  Multi-criteria material selections and end-of-life product strategy: Grey relational analysis approach , 2007 .

[32]  Zeshui Xu,et al.  Projection Method For Uncertain Multi-Attribute Decision Making With Preference Information On Alternatives , 2004, Int. J. Inf. Technol. Decis. Mak..

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

[34]  J. Merigó,et al.  THE INDUCED GENERALIZED OWAWA DISTANCE OPERATOR , 2010 .