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Wu, Congxin; Gong, Zengtai

On Henstock integral of fuzzy-number-valued functions. I. (English) Zbl 0984.28010

Fuzzy Sets Syst. 120, No. 3, 523-532 (2001).
Summary: We define and discuss the (FH) integral for fuzzy-number-valued functions. Using a concrete structure into which we embed the fuzzy number space \(E^1\), several necessary and sufficient conditions of integrability for fuzzy-number-valued functions are given by means of abstract function theory.

Cited in 4 Reviews
Cited in 106 Documents

MSC:

28E10 Fuzzy measure theory
26A39 Denjoy and Perron integrals, other special integrals

Keywords:

Henstock integral; (FH) integral; fuzzy-number-valued functions
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\textit{C. Wu} and \textit{Z. Gong}, Fuzzy Sets Syst. 120, No. 3, 523--532 (2001; Zbl 0984.28010)
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