Set-norm variation of set-multifunctions

Authors:
Anca Croitoru;Gabriela Apreutesei;Nikos Mastorakis
Affiliations:
Faculty of Mathematics, "A.I. Cuza" University, Iaşi, Romania;Faculty of Mathematics, "A.I. Cuza" University, Iaşi, Romania;Technical University of Sofia, Bulgaria
Venue:
ASM'12 Proceedings of the 6th international conference on Applied Mathematics, Simulation, Modelling
Year:
2012

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Abstract

In this paper we deal with the variation of a set multifunction with respect to a set-norm on the family of non-empty subsets of a commutative semigroup with unity and present some results concerning the transfer of some properties (such as fuzzyness, continuity from below, null-additivity, null-null-additivity) between a set multifunction and its variation.