Continuity of fuzzy multifunctions (Q1305815)

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scientific article; zbMATH DE number 1343137
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Continuity of fuzzy multifunctions
scientific article; zbMATH DE number 1343137

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    Continuity of fuzzy multifunctions (English)
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    22 September 1999
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    Summary: 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 motion of hemicontinuity, we also characterize closed and open fuzzy mappings.
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    upper and lower inverse
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    fuzzy multifunction
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    hemicontinuity
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    fuzzy mappings
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