DocumentCode
499048
Title
A new method for ranking fuzzy numbers based on area of a triangle
Author
Xu, Chang-Lin ; Wei, Li-Li
Author_Institution
Sch. of Math. & Comput. Sci., Ningxia Univ., Yinchuan, China
Volume
1
fYear
2009
fDate
12-15 July 2009
Firstpage
532
Lastpage
536
Abstract
A new method for ranking fuzzy numbers based on the cut set is proposed, and some of its desirable properties are studied. Firstly, the area of a triangle, which is determined by the cut set of fuzzy numbers, is employed as the measure of cut set (interval). A index and algorithm of ranking fuzzy numbers are constructed using the integral of this measure. Particularly, for trapezoid fuzzy numbers and triangular fuzzy numbers, the calculation formulas for the indices are given. Finally, the numerical experimentation shows that this method is efficiency and reasonableness.
Keywords
fuzzy set theory; cut set; fuzzy numbers ranking algorithm; fuzzy numbers ranking index; trapezoid fuzzy numbers; triangular fuzzy numbers; Area measurement; Computer science; Cybernetics; Fuzzy sets; Kernel; Lattices; Length measurement; Machine learning; Mathematics; Cut set; Fuzzy numbers; Rank;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2009 International Conference on
Conference_Location
Baoding
Print_ISBN
978-1-4244-3702-3
Electronic_ISBN
978-1-4244-3703-0
Type
conf
DOI
10.1109/ICMLC.2009.5212525
Filename
5212525
Link To Document