DocumentCode
2029093
Title
A solution of linear programming with fuzzy variables
Author
Wang, Zhongxing ; Li, Jingcui ; Xie, Haibin
Author_Institution
Sch. of Math. & Inf. Sci., Guangxi Univ., Nanning, China
Volume
2
fYear
2010
fDate
10-12 Aug. 2010
Firstpage
801
Lastpage
805
Abstract
We introduce an approach to defuzzify a general fuzzy quantity, a general fuzzy number is approximated to its nearest symmetric trapezoidal fuzzy number. With the help of the above method, a fuzzy linear programming is converted to a linear programming with symmetric trapezoidal fuzzy variables. Moreover, using ordering measures of symmetric trapezoidal fuzzy numbers, The fuzzy linear programming is turned into a classical multiple objective linear programming. Then, fuzzy optimal solutions of a fuzzy linear programming are obtained by solving the above multi-objective linear programming.
Keywords
fuzzy set theory; linear programming; fuzzy variable; general fuzzy number; multiple objective linear programming; symmetric trapezoidal fuzzy number; Approximation methods; Europe; Fuzzy sets; Linear programming; Mathematical programming; Programming; Stochastic processes; fuzzy variable; linear programming; multi-objective;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems and Knowledge Discovery (FSKD), 2010 Seventh International Conference on
Conference_Location
Yantai, Shandong
Print_ISBN
978-1-4244-5931-5
Type
conf
DOI
10.1109/FSKD.2010.5569331
Filename
5569331
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