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
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;
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
DOI :
10.1109/ICMLC.2009.5212525
