Correlation Coefficients of Interval-Valued Hesitant Fuzzy Sets and Their Application Based on the Shapley Function

2015 ◽  
Vol 31 (1) ◽  
pp. 17-43 ◽  
Author(s):  
Fanyong Meng ◽  
Chen Wang ◽  
Xiaohong Chen ◽  
Qiang Zhang
Keyword(s):  
Fuzzy Sets ◽  
Correlation Coefficients ◽  
Hesitant Fuzzy Sets ◽  
Shapley Function ◽  
Interval Valued

scholarly journals Correlation Coefficients of Interval-Valued Pythagorean Hesitant Fuzzy Sets and Their Applications

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 9271-9286
Author(s):  
Tingting Zheng ◽  
Maoyin Zhang ◽  
Longmei Li ◽  
Qiuyue Wu ◽  
Ligang Zhou
Keyword(s):  
Fuzzy Sets ◽  
Correlation Coefficients ◽  
Hesitant Fuzzy Sets ◽  
Interval Valued

On Extending Power-Geometric Operators to Interval-Valued Hesitant Fuzzy Sets and Their Applications to Group Decision Making

2016 ◽  
Vol 15 (05) ◽  
pp. 1055-1114 ◽  
Author(s):  
Sheng-Hua Xiong ◽  
Zhen-Song Chen ◽  
Yan-Lai Li ◽  
Kwai-Sang Chin
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Group Decision Making ◽  
Group Decision ◽  
Aggregation Operators ◽  
Decision Makers ◽  
Individual Decision ◽  
Hesitant Fuzzy Sets ◽  
Variable Power ◽  
Interval Valued

Developing aggregation operators for interval-valued hesitant fuzzy sets (IVHFSs) is a technological task we are faced with, because they are specifically important in many problems related to the fusion of interval-valued hesitant fuzzy information. This paper develops several novel kinds of power geometric operators, which are referred to as variable power geometric operators, and extends them to interval-valued hesitant fuzzy environments. A series of generalized interval-valued hesitant fuzzy power geometric (GIVHFG) operators are also proposed to aggregate the IVHFSs to model mandatory requirements. One of the important characteristics of these operators is that objective weights of input arguments are variable with the change of a non-negative parameter. By adjusting the exact value of the parameter, the influence caused by some “false” or “biased” arguments can be reduced. We demonstrate some desirable and useful properties of the proposed aggregation operators and utilize them to develop techniques for multiple criteria group decision making with IVHFSs considering the heterogeneous opinions among individual decision makers. Furthermore, we propose an entropy weights-based fitting approach for objectively obtaining the appropriate value of the parameter. Numerical examples are provided to illustrate the effectiveness of the proposed techniques.

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