Generalized Caratheodory Extension Theorem on Fuzzy Measure Space | Zendy

Mehmet Şahin | Zendy; Necati Olgun | Zendy; F. Talay Akyıldız | Zendy; Ali Karakuş | Zendy

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Generalized Caratheodory Extension Theorem on Fuzzy Measure Space

Author(s) -

Mehmet Şahin,

Necati Olgun,

F. Talay Akyıldız,

Ali Karakuş

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/260457

Subject(s) - mathematics , lattice (music) , extension (predicate logic) , fuzzy logic , complete lattice , fuzzy set , monotonic function , set function , discrete mathematics , pure mathematics , set (abstract data type) , mathematical analysis , computer science , artificial intelligence , physics , universality (dynamical systems) , quantum mechanics , acoustics , programming language

Lattice-valued fuzzy measures are lattice-valued set functions which assign the bottom element of the lattice to the empty set and the top element of the lattice to the entire universe, satisfying the additive properties and the property of monotonicity. In this paper, we use the lattice-valued fuzzy measures and outer measure definitions and generalize the Caratheodory extension theorem for lattice-valued fuzzy measures

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