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Gong, Zengtai

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

Fuzzy Sets Syst. 145, No. 3, 381-393 (2004).
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)].

Cited in 10 Documents

MSC:

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

Keywords:

fuzzy number; fuzzy analysis; fuzzy-valued function; derivative; fuzzy Henstock integrability

Citations:

Zbl 0995.26018
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\textit{Z. Gong}, Fuzzy Sets Syst. 145, No. 3, 381--393 (2004; Zbl 1095.26019)
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References:

[1] Diamond, P; Kloeden, P.E, Metric spaces of fuzzy sets: theory applications, (1994), World Scientific Singapore
[2] Dubois, D; Prade, H, Towards fuzzy differential, Fuzzy sets and systems, 8, 1-17, (1982) · Zbl 0493.28002
[3] Gong, Z, The differentiability of primitives for the fuzzy-valued functions, Fuzzy systems math., 17, 2, 12-17, (2003), (in Chinese)
[4] Gong, Z; Wu, C, On the problem of characterizing derivatives for the fuzzy-valued functions, Fuzzy sets and systems, 127, 315-322, (2002) · Zbl 0995.26018
[5] Kaleva, O, Fuzzy differential equations, Fuzzy sets and systems, 24, 301-317, (1987) · Zbl 0646.34019
[6] Lee, P, Lanzhou lecture on Henstock integration, (1989), World Scientific Singapore, New Jersey, London, Hong Kong · Zbl 0699.26004
[7] Puri, M.L; Ralesu, D.A, Differentials for fuzzy functions, J. math. anal. appl., 91, 552-558, (1983) · Zbl 0528.54009
[8] Wu, C; Gong, Z, On Henstock integrals of fuzzy-valued functions (I), Fuzzy sets and systems, 120, 523-532, (2001) · Zbl 0984.28010
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