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Fuzzy complex analysis II: Integration

โœ Scribed by James J. Buckley


Book ID
107902633
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
616 KB
Volume
49
Category
Article
ISSN
0165-0114

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๐Ÿ“œ SIMILAR VOLUMES


Fuzzy Daniell integral II
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In continuation of our earlier papers, here we show that analogous forms of monotone convergence theorem, Fatou's lemma and the Lebesgue-dominated convergence theorem are true for the fuzzy Daniell integral r and we establish the uniqueness of the extension of z from g to ~1. (ยฃ)

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This is a subsequent paper of [9]. By using the concepts of fuzzy number fuzzy measures [9] and fuzzy-valued functions [10], a theory of fuzzy integrals of fuzzy-valued functions with respect to fuzzy number fuzzy measures is built up. So far, it is a more general one following Sugeno's [5].

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This paper gives some results for fuzzy complex sets, generalize and improve the corresponding work of fuzzy complex numbers in [1]. We also introduce the derivative and integral of functions mapping complex numbers into the set of generalized fuzzy complex numbers and it is different to the definit