A New Evaluation for Solving the Fully Fuzzy Data Envelopment Analysis with Z-Numbers

被引:20
作者
Namakin, Ali [1 ]
Najafi, Seyyed Esmaeil [1 ]
Fallah, Mohammad [1 ]
Javadi, Mehrdad [1 ]
机构
[1] Islamic Azad Univ, Dept Ind Engn, Sci & Res Branch, Tehran 4681853617, Iran
来源
SYMMETRY-BASEL | 2018年 / 10卷 / 09期
关键词
data envelopment analysis; Z-numbers; full fuzzy environment; fuzzy efficiency; EFFICIENCY MEASURES; ANALYSIS MODEL; IMPRECISE DATA; DEA; PERFORMANCE; MANAGEMENT;
D O I
10.3390/sym10090384
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
There are numerous models for solving the efficiency evaluation in data envelopment analysis (DEA) with fuzzy input and output data. However, because of the limitation of those strategies, they cannot be implemented for solving fully fuzzy DEA (FFDEA). Furthermore, in real-world problems with imprecise data, fuzziness is not sufficient to consider, and the reliability of the information is also very vital. To overcome these flaws, this paper presented a new method for solving the fully fuzzy DEA model where all parameters are Z-numbers. The new approach is primarily based on crisp linear programming and has a simple structure. Moreover, it is proved that the only existing method to solve FFDEA with Z-numbers is not valid. An example is also presented to illustrate the efficiency of our proposed method and provide an explanation for the content of the paper.
引用
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页数:15
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