Feng, Yuhu Fuzzy-valued mappings with finite variation, fuzzy-valued measures and fuzzy-valued Lebesgue-Stieltjes integrals. (English) Zbl 0984.28011 Fuzzy Sets Syst. 121, No. 2, 227-236 (2001). Summary: The fuzzy-valued mapping with finite variation, the distribution function of a fuzzy-valued measure and the fuzzy-valued Lebesgue-Stieltjes integral are defined. The correlative properties with them are established. Finally, the fuzzy-valued stochastic Lebesgue-Stieltjes integral is introduced. Cited in 7 Documents MSC: 28E10 Fuzzy measure theory Keywords:distribution function; fuzzy-valued mapping; finite variation; fuzzy-valued measure; fuzzy-valued Lebesgue-Stieltjes integral; fuzzy-valued stochastic Lebesgue-Stieltjes integral PDFBibTeX XMLCite \textit{Y. Feng}, Fuzzy Sets Syst. 121, No. 2, 227--236 (2001; Zbl 0984.28011) Full Text: DOI References: [1] Diamond, P.; Kloeden, P., Metric space of fuzzy set, Fuzzy Sets and Systems, 35, 240-249 (1990) [2] Feng, Yuhu, Mean-square Riemann-Stieltjes integrals of fuzzy stochastic processes and their applications, Fuzzy Sets and Systems, 110, 27-41 (2000) · Zbl 0954.26013 [3] Feng, Yuhu, Mean square integral and differential of fuzzy stochastic processes, Fuzzy Sets and Systems, 102, 271-280 (1999) · Zbl 0942.60041 [4] He, S. W.; Wang, J. G.; Yan, J. A., Semimartingale Theory and Stochastic Calculus (1992), Science Press and CRC press: Science Press and CRC press Boca Raton-Ann Arbor-London-Tokyo · Zbl 0781.60002 [5] Kaleva, O., Fuzzy differential equations, Fuzzy Sets and Systems, 24, 301-317 (1987) · Zbl 0646.34019 [6] Puri, M. L.; Ralescu, D. A., Convergence theorems for fuzzy martingales, J. Math. Appl., 160, 107-122 (1991) · Zbl 0737.60005 [7] Stojakovic, M., Fuzzy valued measure, Fuzzy Sets and Systems, 65, 95-104 (1994) · Zbl 0844.28012 [8] Zhang, W. X., Set-valued Measure and Random Sets (1986), Xian Jiaotong Univ. Press: Xian Jiaotong Univ. Press Xian, (in Chinese) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.