ON THE EXTENSION OF NON-ADDITIVE SET FUNCTIONS
نویسندگان
چکیده
منابع مشابه
Extension of Null-additive Set Functions on Algebra of Subsets
In this note an extension-type theorem for null-additive fuzzy measures is proved. AMS Mathematics Subject Classification (2000): 28A25
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چکیده ندارد.
15 صفحه اولΣ-null-additive Set Functions
There is introduced the notion of σ-null-additive set function as a generalization of the classical measure. There are proved the relations to disjoint and chain variations. The general Lebesgue decomposition theorem is obtained. AMS Mathematics Subject Classification (2000): 28A25
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This paper gives the concepts of extension error set and fuzzy extension error set, discusses diverse extension error set and fuzzy extension error set based on extension set and error set, and puts forward the relevant propositions and operations. Finally, it provides proofs of the soundness and completeness for the propositions and operations.
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We discuss the connection of additive set functions to dual function spaces by means of integrals. Isometrical isomorphisms are presented between: a) bounded contents and the dual of uniformly approximable functions, b) charges on Baire algebras and the duals of bounded, continuous functions over A-topological spaces, c) Hewitt measures on Baire σ-algebras and the duals of continuous functions ...
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ژورنال
عنوان ژورنال: Vestnik of Samara University. Natural Science Series
سال: 2017
ISSN: 2541-7525
DOI: 10.18287/2541-7525-2017-23-3-34-40