Author(s): LIU Ting-ting, School of Mathematics, Chongqing Normal University
Pages: 18-21
Year: 2013 Issue:  12
Journal: Journal of Yuzhou University, Natural Sciences Edition
Keyword:  fuzzy mapping; semicontinuity; maximum value; minimum value; bounded;
Abstract: By using the concept of parameter form of fuzzy number,this paper redefines the concept of upper and lower semicontinuous mapping proposed by Bao and Wu,based on linear norm of fuzzy number introduced by Goetschel and Voxman,proves that in a nonempty open interval of n-dimensional Euclidean space Rn,there is a bounded closed set which makes upper semicontinuous fuzzy mapping be bounded,and that in a nonempty open interval of n-dimensional Euclidean space Rn,there is a bounded closed set which makes lower semicontinuous mapping be bounded.