Fuzzy weighted average: A max-min paired elimination method

被引:70
作者
Guh, YY [1 ]
Hon, CC [1 ]
Wang, KM [1 ]
Lee, ES [1 ]
机构
[1] YUAN ZE INST TECHNOL,DEPT IND ENGN,CHUNGLI,TAIWAN
关键词
fuzzy weighted average; multiple criteria decision making; multiple attribute decision making; extension principle;
D O I
10.1016/0898-1221(96)00171-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By the use of max-min paired elimination, an efficient method for obtaining the fuzzy weighted average (FWA) was developed. This approach is much more efficient than either the approach developed by Dong and Wong [1] or the improved approach developed by Lieu and Wang [2]. The computational requirements for the method of Dong and Wong are 2(2n) and the largest computational requirements for the improved method of Lieu and Wang are 2+n(n+1). The computational requirements for the proposed approach are proportional to the problem size n and the total computational requirements are 2(n-1). The same example used by Dong and Wong is used to illustrate the approach. In addition, a more complicated problem is also solved.
引用
收藏
页码:115 / 123
页数:9
相关论文
共 5 条
[1]  
[Anonymous], 1991, FUZZY SET THEORY ITS
[2]   FUZZY WEIGHTED AVERAGES AND IMPLEMENTATION OF THE EXTENSION PRINCIPLE [J].
DONG, WM ;
WONG, FS .
FUZZY SETS AND SYSTEMS, 1987, 21 (02) :183-199
[3]  
HOROWITZ E, 1978, FUNDAMENTALS COMPUTE, P108
[4]   FUZZY WEIGHTED AVERAGE - AN IMPROVED ALGORITHM [J].
LIOU, TS ;
WANG, MJJ .
FUZZY SETS AND SYSTEMS, 1992, 49 (03) :307-315
[5]  
Pohl I., 1972, Communications of the ACM, V15, P462, DOI 10.1145/361405.361423