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

• Published in: 2009 International Conference on Machine Learning and Cybernetics Vol. 1; pp. 532 - 536
• Main Authors: Chang-Lin Xu, Li-Li Wei
• Format: Conference Proceeding
• Language: English
• 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
• ISBN: 9781424437023; 1424437024
• ISSN: 2160-133X
• DOI: 10.1109/ICMLC.2009.5212525

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...