Continuity of fuzzy multifunctions

Ismat Beg

International Journal of Stochastic Analysis, 1999, vol. 12, 1-6

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.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:728142

DOI: 10.1155/S1048953399000027

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