Generalized Caratheodory Extension Theorem on Fuzzy Measure Space

Mehmet?ahin; NecatiOlgun; F. TalayAky?ld?z; AliKaraku?

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Generalized Caratheodory Extension Theorem on Fuzzy Measure Space

机译：模糊测度空间上的广义Caratheodory扩展定理

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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.

机译：格值模糊测度是格值集合函数，其将格的底部元素分配给空集，并将格的顶部元素分配给整个宇宙，满足加性和单调性。在本文中，我们使用晶格值模糊测度和外部测度定义，并推广了Caratheodory扩展定理用于晶格值模糊测度。

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《Abstract and applied analysis》 |2012年第6期|共11页
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Mehmet?ahin; NecatiOlgun; F. TalayAky?ld?z; AliKaraku?;
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1. Generalized Caratheodory Extension Theorem on Fuzzy Measure Space [J] . Mehmet?ahin, NecatiOlgun, F. TalayAky?ld?z, Abstract and applied analysis . 2012,第2期

机译：模糊测度空间上的广义Caratheodory扩展定理
2. Fuzzy quasi-triangular spaces, fuzzy sets of Pompeiu-Hausdorff type, and another extensions of Banach and Nadler theorems [J] . Kazimierz W#322, odarczyk Fixexd point theory and applications . 2016,第1期

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机译：模糊公制空间中Mier-Keeler固定点定理的一些延伸
5. Extension theorems in vector spaces over finite fields. [D] . Koh, Doowon. 2008

机译：有限域上向量空间中的扩展定理。
6. Convergence theorems for generalized nonexpansive multivalued mappings in hyperbolic spaces [O] . Jong Kyu Kim, Ramesh Prasad Pathak, Samir Dashputre, -1

机译：双曲空间中广义非扩张多值映射的收敛定理
7. Generalized Caratheodory Extension Theorem on Fuzzy Measure Space [O] . Mehmet Şahin, Necati Olgun, F. Talay Akyıldız, 2012

机译：模糊测量空间的广义式加工速扩展定理

Generalized Caratheodory Extension Theorem on Fuzzy Measure Space

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