General Letters in Mathematics

Volume 13 - Issue 1 (3) | PP: 18 - 28 Language : English

Set-fuzzy-set-norm Variation of Set-fuzzy-set Multifunctions

Marzieh Mostafavi
Received Date Revised Date Accepted Date Publication Date
8/2/2023 25/3/2023 18/4/2023 4/5/2023
In this paper, we introduce F(Rp), the collection of all finite sets of fuzzy subsets in Fbc(Rp), which is the class of the upper semicontinuous fuzzy subsets of Rp with bounded convex compact closure of the supports. Then we define set-fuzzyset multifunctions and discuss various kinds of them such as monotone, fuzzy measure, subadditive, null-additive, null-nulladditive, multisubmeasure and null-continuous. We introduce the set-fuzzy-set-norm variation of a set-fuzzy-set multifunction and present some properties between a set-fuzzy-set multifunction and its variations such as fuzzyness, continuity from below, null-additivity, and null-null-additivity.

How To Cite This Article
Mostafavi , M. (2023). Set-fuzzy-set-norm Variation of Set-fuzzy-set Multifunctions. General Letters in Mathematics, 13 (1), 18-28, 10.31559/glm2023.13.1.3

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