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Atomicity through Fractal Measure Theory pp 105–122Cite as

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

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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.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics, Alexandru Ioan Cuza University, Iaşi, Romania

    Alina Gavriluţ

  2. Faculty of Physics, Alexandru Ioan Cuza University, Iaşi, Romania

    Ioan Mercheş

  3. Physics Department, Gheorghe Asachi Technical, University of Lasi, Iaşi, Romania

    Maricel Agop

Authors
  1. Alina Gavriluţ
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  2. Ioan Mercheş
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  3. Maricel Agop
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Gavriluţ, A., Mercheş, I., Agop, M. (2019). Approximation theorems for fuzzy set multifunctions in Vietoris topology: Physical implications of regularity. In: Atomicity through Fractal Measure Theory. Springer, Cham. https://doi.org/10.1007/978-3-030-29593-6_8

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