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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 [{\it Z. Gong, C. Wu} and {\it B. Li}, Fuzzy Sets Syst. 127, No. 3, 315--322 (2002; Zbl 0995.26018)].

##### MSC:
 26E50 Fuzzy real analysis 28E10 Fuzzy measure theory 26A39 Special integrals of functions of one real variable
Full Text:
##### References:
 [1] Diamond, P.; Kloeden, P. E.: Metric spaces of fuzzy sets: theory applications. (1994) · Zbl 0873.54019 [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, No. 2, 12-17 (2003) [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) · 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