Continuity of fuzzy multifunctions. (1999)

• Record Type: Journal Article
• Authors: Beg, Ismat
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 12:Number 1(1999)
• Page Start: 17
• Page End: 22
• Publication Date: 1999
• Subjects: fuzzy multifunction -- hemicontinuity; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953399000027
• Languages: English
• ISSNs: 1048-9533

Abstract

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.