On the problem of characterizing derivatives for the fuzzy-valued functions. II: Almost everywhere differentiability and strong Henstock integral. (English) Zbl 1095.26019

Summary: The concept of strong fuzzy Henstock integrability for fuzzy-valued functions is presented; a necessary and sufficient condition of almost everywhere differentiability for the fuzzy-valued functions is given by means of this concept.
See also Part I [Z. Gong, C. Wu and B. Li, Fuzzy Sets Syst. 127, No. 3, 315–322 (2002; Zbl 0995.26018)].


26E50 Fuzzy real analysis
28E10 Fuzzy measure theory
26A39 Denjoy and Perron integrals, other special integrals


Zbl 0995.26018
Full Text: DOI


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