Journal of Applied Mathematics and Stochastic Analysis
Volume 12 (1999), Issue 1, Pages 17-22
Continuity of fuzzy multifunctions
Kuwait University, Department of Mathematics, P.O. Box 5969, Safat 13060, Kuwait
Received 1 October 1997; Revised 1 July 1998
Copyright © 1999 Ismat Beg. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We define the upper and lower inverse of a fuzzy multifunction and prove
basic identities. Then by using these ideas we introduce the concept of
hemicontinuity and obtain many interesting properties of lower and upper
hemicontinuous fuzzy multifunctions. Using the notion of hemicontinuity,
we also characterize closed and open fuzzy mappings.