Approximation theorems for fuzzy set multifunctions in Vietoris topology: Physical implications of regularity

Alina Gavriluţ, Ioan Mercheş and Maricel Agop
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Alina Gavriluţ: Alexandru Ioan Cuza University, Faculty of Mathematics
Ioan Mercheş: Alexandru Ioan Cuza University, Faculty of Physics
Maricel Agop: University of Lasi, Physics Department, Gheorghe Asachi Technical

Chapter Chapter 8 in Atomicity through Fractal Measure Theory, 2019, pp 105-122 from Springer

Abstract: Abstract In this chapter we continue the study began in Chap. 7 concerning continuity properties for set multifunctions taking values in all nonvoid subsets of a linear topological space. Based on these results, Egoroff and Lusin-type theorems are obtained and Lusin-type theorems are obtained for set of multifunctions in Vietoris topology.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-29593-6_8

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DOI: 10.1007/978-3-030-29593-6_8

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