Publication Details

This conference paper was originally published as Sun, Z and Han, J, Inverse a-Cuts and Interval [a, b)-Cuts, in Proceedings of the International Conference on Innocative Computing, Information and Conctrol ICICIC2006, 30 August - 1 September 2006, Beijing, 1, 2006, 441-444. Copyright IEEE. Original conference proceedings here.


This paper will propose the symmetric form of alpha-cut: inverse alpha-cut, and then alpha-induced fuzzy set and examine their properties. Further, it introduces interval cut, interval induced fuzzy set and examines their properties. The proposed approach will facilitate research of fuzzy set theory and fuzzy systems.