DocumentCode :
538907
Title :
Adjustment of Trapezoidal Fuzzy Numbers Matrix
Author :
Ye, Xiao-Ling ; Zhang, Ying-Chao
Author_Institution :
Sch. of Inf. & Control Eng., NUIST, Nanjing, China
Volume :
2
fYear :
2010
fDate :
16-17 Dec. 2010
Firstpage :
169
Lastpage :
172
Abstract :
In this paper, a method of adjusting trapezoidal fuzzy numbers matrix according as consistent rule is studied. The main idea is that a barycenter matrix is introduced in order to adjust the inconsistent matrix. In detail, if the consistency of barycenter matrix does not dissatisfy the requirement, we can construct consistent matrixes by the elements arranged in rows of the barycenter matrix, and then find out a matrix, which has the best closeness to the barycenter one, and mark out the row, thus construct a consistent trapezoidal fuzzy numbers matrix out from the corresponding row of the original trapezoidal fuzzy numbers matrix, finally combine the primary trapezoidal fuzzy numbers matrix with the consistent trapezoidal fuzzy numbers one. In the end, the method is illustrated with an example.
Keywords :
decision making; fuzzy set theory; matrix algebra; barycenter matrix; inconsistent matrix; trapezoidal fuzzy numbers matrix; Atmospheric measurements; Eigenvalues and eigenfunctions; Equations; Indexes; MATLAB; Mathematical model; Weight measurement; Consistency; Judgment matrix; Trapezoidal fuzzy numbers;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Intelligent Systems (GCIS), 2010 Second WRI Global Congress on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-9247-3
Type :
conf
DOI :
10.1109/GCIS.2010.144
Filename :
5709156
Link To Document :
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