DocumentCode
182935
Title
Multi-objective fully fuzzy linear programming problems with triangular fuzzy numbers
Author
Xiao-Peng Yang ; Bing-Yuan Cao ; Hai-Tao Lin
Author_Institution
Sch. of Math. & Inf. Sci., Guangzhou Univ., Guangzhou, China
fYear
2014
fDate
19-21 Aug. 2014
Firstpage
171
Lastpage
177
Abstract
For checking the optimality of the objective function, we introduce a lexicographic order relation to compare two arbitrary triangular fuzzy numbers. Based on the order relation, the multi-objective fully fuzzy linear programming problem is converted into a crisp multi-level multi-objective linear programming problem, which may be solved by using the Min operator step by step. A numerical example is given to illustrate the validity of the proposed method.
Keywords
fuzzy set theory; linear programming; number theory; Min operator; arbitrary triangular fuzzy numbers; lexicographic order relation; multilevel multiobjective linear programming problem; multiobjective fully fuzzy linear programming problems; triangular fuzzy numbers; Educational institutions; Fuzzy systems; Information science; Linear programming; Optimization; Vectors; fully fuzzy linear programming; fuzzy number; lexicographic order relation; multi-level multi-objective linear programming;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems and Knowledge Discovery (FSKD), 2014 11th International Conference on
Conference_Location
Xiamen
Print_ISBN
978-1-4799-5147-5
Type
conf
DOI
10.1109/FSKD.2014.6980827
Filename
6980827
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