Journal of Applied Mathematics and Stochastic Analysis
Volume 12 (1999), Issue 1, Pages 17-22
doi:10.1155/S1048953399000027
Abstract
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.