The purpose of this paper is to investigate the convergence of sequence of measurable functions on fuzzy measure spaces. Several classical results on the convergence of measurable functions, such as Egoroff's theorem, Lebesgue's theorem and Riesz's theorem, are extended to fuzzy measure spaces by us
Fundamental convergence of sequences of measurable functions on fuzzy measure space
β Scribed by Ha Minghu; Wang Xizhao; Wu Congxin
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 282 KB
- Volume
- 95
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
The concepts of "fundamental almost everywhere" and "fundamental pseudo-almost everywhere" on fuzzy measure space are introduced, the relations among convergence of sequences of measurable functions are further discussed, the corresponding results on classical measure space are generalized and some of these results are improved in essenceβ’
π SIMILAR VOLUMES
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The convergences of the net (generalized sequence) of fuzzy measures are discussed. It is shown that three types of convergence are not equivalent in general case, however they are equivalent if the universal set is ΓΏnite.
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