Allahviranloo, T.; Otadi, M. Gaussian quadratures for approximate of fuzzy integrals. (English) Zbl 1083.65028 Appl. Math. Comput. 170, No. 2, 874-885 (2005). The authors discuss the Gaussian quadrature for fuzzy integration. Several examples are given. Reviewer: Manfred Tasche (Rostock) Cited in 6 Documents MSC: 65D32 Numerical quadrature and cubature formulas 41A55 Approximate quadratures 26E50 Fuzzy real analysis 41A30 Approximation by other special function classes Keywords:fuzzy number; fuzzy integral; Gaussian quadrature; numerical examples PDFBibTeX XMLCite \textit{T. Allahviranloo} and \textit{M. Otadi}, Appl. Math. Comput. 170, No. 2, 874--885 (2005; Zbl 1083.65028) Full Text: DOI References: [1] T. Allahviranloo, Newton Cot’s methods for integration of fuzzy functions, Appl. Math. Comp., in press, doi:10.1016/j.amc.2004.04.110.; T. Allahviranloo, Newton Cot’s methods for integration of fuzzy functions, Appl. Math. Comp., in press, doi:10.1016/j.amc.2004.04.110. · Zbl 1078.65017 [2] Zadeh, L. A., The concept of a linguistic variable and its application to approximate reasoning, Inform. Sci., 8, 199-249 (1975) · Zbl 0397.68071 [3] Kaleva, O., Fuzzy deifferential equations, FSS, 24, 301-317 (1987) · Zbl 0646.34019 [4] Goetschel, R.; Voxman, W., Elementary calculus, FSS, 18, 31-43 (1986) · Zbl 0626.26014 [5] Puri, M. L.; Ralescu, D., Fuzzy random variables, J. Math. Anal. Appl., 114, 409-422 (1986) · Zbl 0592.60004 [6] M. Matloka, On fuzzy integrals, in: Proc. 2nd polish symp. on Interval and Fuzzy mathematics, Polite chnika poznansk, 1987, pp. 167-170.; M. Matloka, On fuzzy integrals, in: Proc. 2nd polish symp. on Interval and Fuzzy mathematics, Polite chnika poznansk, 1987, pp. 167-170. [7] Seikkala, S., On the fuzzy initial value problem, Fuzzy Sets and Systems, 24, 319-330 (1987) · Zbl 0643.34005 [8] D. Kincaid, W. Cheny, Numerical analysis mathematics of scientific computation.; D. Kincaid, W. Cheny, Numerical analysis mathematics of scientific computation. [9] Zimmerman, H. J., Fuzzy Set Theory and Its Applications (1996), Kluwer Academic: Kluwer Academic New York 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.