Titlebook: Atomicity through Fractal Measure Theory; Mathematical and Phy Alina Gavriluţ,Ioan Mercheş,Maricel Agop Book 2019 Springer Nature Switzerla

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Several hypertopologies: A short overview,This chapter presents a short overview on several well-known hypertopologies is made.

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A mathematical-physical approach on regularity in hit-and-miss hypertopologies for fuzzy set multifIn this chapter we present a unifying mathematical point of view on hypertopologies and regularity in the context of fuzzy set multifunctions. Certain relationships, interpretations and similitudes are thoroughly highlighted. Also, in these two chapters certain main notions that will be used throughout the book are given.

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Non-atomic set multifunctions,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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Non-atomicity and the Darboux property for fuzzy and non-fuzzy Borel/Baire multivalued set functionIn 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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