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

  • Alina Gavriluţ
  • Ioan Mercheş
  • Maricel Agop


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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© 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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