A mathematical-physical approach on regularity in hit-and-miss hypertopologies for fuzzy set multifunctions

  • Alina Gavriluţ
  • Ioan Mercheş
  • Maricel Agop


In 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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Copyright information

© 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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