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

  • Alina Gavriluţ
  • Ioan Mercheş
  • Maricel Agop


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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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Alina Gavriluţ
    • 1
  • Ioan Mercheş
    • 2
  • Maricel Agop
    • 3
  1. 1.Faculty of MathematicsAlexandru Ioan Cuza UniversityIaşiRomania
  2. 2.Faculty of PhysicsAlexandru Ioan Cuza UniversityIaşiRomania
  3. 3.Physics Department, Gheorghe Asachi TechnicalUniversity of LasiIaşiRomania

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