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Atomicity through Fractal Measure Theory pp 37–50Cite as

Non-atomicity and the Darboux property for fuzzy and non-fuzzy Borel/Baire multivalued set functions

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Abstract

In this chapter, various problems concerning atoms/pseudo-atoms are discussed for fuzzy set multifunctions taking values in the family of all nonvoid closed subsets of a Banach space in Hausdorff 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). Non-atomicity and the Darboux property for fuzzy and non-fuzzy Borel/Baire multivalued set functions. In: Atomicity through Fractal Measure Theory. Springer, Cham. https://doi.org/10.1007/978-3-030-29593-6_4

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