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)
Fuzzy complex analysis II: Integration
โ 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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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].
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