A new method for ranking fuzzy numbers based on area of a triangle

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 nu...

Full description

Saved in:
Bibliographic Details
Published in2009 International Conference on Machine Learning and Cybernetics Vol. 1; pp. 532 - 536
Main Authors Chang-Lin Xu, Li-Li Wei
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.07.2009
Subjects
Area measurement
Computer science
Cut set
Cybernetics
Fuzzy numbers
Fuzzy sets
Kernel
Lattices
Length measurement
Machine learning
Mathematics
Rank
Online AccessGet full text

Cover

More Information
Summary: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.
ISBN:9781424437023
1424437024
ISSN:2160-133X
DOI:10.1109/ICMLC.2009.5212525