Ismat Beg, "Continuity of fuzzy multifunctions", International Journal of Stochastic Analysis, vol. 12, Article ID 728142, 6 pages, 1999. https://doi.org/10.1155/S1048953399000027
Continuity of fuzzy multifunctions
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.
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