JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (10): 42-49.doi: 10.6040/j.issn.1671-9352.0.2016.594
Previous Articles Next Articles
CLC Number:
[1] SONG Xiaoqiu, PAN Zhi. Fuzzy algebra in triangular norm system[J]. Fuzzy Sets and Systems, 1998, 93(3):331-335. [2] LI Dongqing, SONG Xiaoqiu, YUE Tian, et al. Generalization of the Lyapunov type inequalities for pseudo-integrals[J]. Applied Mathematics and Computation, 2014, 241: 64-69. [3] YANG Xiuli, SONG Xiaoqiu, LU Wei. Sandors type inequality for fuzzy integrals[J]. Journal of Nanjing University:Mathematical Biquarterly, 2015, 32(2):144-156. [4] SONG Yazhi, SONG Xiaoqiu, LI Dongqing, et al. Berwald type inequality for extremal universal integral based on(α, m)-concave functions[J]. Journal of Mathematical Inequalities, 2015, 9(1): 1-15. [5] 卢威, 宋晓秋, 黄雷雷. 基于模糊积分的Hermite-Hadamard和Sandaor类型的不等式[J]. 山东大学学报(理学版), 2016, 51(8):22-28. LU Wei, SONG Xiaoqiu, HUANG Leilei. Inequalities of Hermite-Hadamard and Sandaor for fuzzy integral[J]. Journal of Shandong University(Natural Science), 2016, 51(8):22-28. [6] LU Wei, SONG Xiaoqiu, YANG Xiuli. Inequalities of Barnes-Godunova-Levin and Lyapunov type for Interval-valued measures based on pseudo-integrals[J]. Journal of Nanjing University: Mathematical Biquarterly, 2016, 33(1):40-56. [7] 赵家奎. 微分变换及其在电路中的应用[M]. 武汉: 华中理工大学出版社, 1988. ZHAO Jiakui. Differential transformation and its application for electrical circuits[M]. Wuhan: Huazhong University Press, 1988. [8] 吴从忻, 马明. Fuzzy集值映射的级数积分及积分方程[J]. 哈尔滨工业大学学报, 1990, 21(5):11-19. WU Congxin, MA Ming. On the integrals series and integral equations of fuzzy set-valued functions[J]. Journal of Harbin Institute of Technology, 1990, 21(5):11-19. [9] BEDE B. Quadrature rules for integrals of fuzzy-number-valued functions[J]. Fuzzy Sets and Systems, 2004, 145(3): 359-380. [10] FRIEDMAN M, MA Ming, KANDEL A. Numerical methods for calculating the fuzzy integral[J]. Fuzzy Sets and Systems, 1996, 83(1):57-62. [11] FRIEDMAN M, MA Ming, KANDEL A. Numerical solution of fuzzy differential and integral equations[J]. Fuzzy Sets and Systems, 1999, 106(1):35-48. [12] DUBOIS D, PRADE H. The mean value of a fuzzy number[J]. Fuzzy Sets and System, 1987, 24(3):279-300. [13] HEILPERN S. The expected value of a fuzzy number[J]. Fuzzy Sets and Systems, 1992, 47(11):81-86. [14] MARYAM MOSLEH, MAHMOOD OTADI. Approximate solution of fuzzy differential equations under generalized differentiability[J]. Applied Mathematical Modelling, 2015, 39(10-11):3003-3015. [15] MA Ming, FRIEDMAN M, KANDEL A. A new fuzzy arithmetic[J]. Fuzzy Sets and System, 1999, 108(1):83-90. [16] PURI M L, RALESCU D. Differential of fuzzy function[J]. Journal of Mathematical Analysis and Applications, 1983, 91(2):552-558. [17] CHALCO-CANO Y, ROMAN-FLORES H. On new solutions of fuzzy differential equations[J]. Chaos, Solitons and Fractals, 2006, 38(1):112-119. [18] SHELDON S L Chang, ZADEH L, LOFTI A. On fuzzy mapping and control[J]. Systems, Man and Cybernetics, IEEE Transactions on, 1972, 2(1):30-34. [19] ALLAHVIRANLOO T, KIANI N A, MOTAMEDI M. Solving fuzzy differential equations by differential transformation method[J]. Information Sciences, 2009, 179(7):956-966. [20] BEDE B, RUDAS I J, BENCSIK A L. First order linear fuzzy differential equations under generalized differentiability[J]. Information Sciences, 2007, 177(7):1648-1662. [21] BEDE B, GAS G l. Generalizations of the differentiability of fuzzy number valued functions with applications to fuzzy differential equations[J]. Fuzzy Sets and Systems, 2005, 151(3):581-599. [22] ODIBAT Z, MOMANI S, ERTURK V S. Generalized differential transform method: application to differential equations of fractional order[J]. Applied Mathematics and Computation, 2008, 197(2):467-477. [23] SALAHSHOUR S, ALLAHVIRANLOO T. Application of fuzzy differential transform method for solving fuzzy Volterra integral equations[J]. Applied Mathematical Modelling, 2013, 37(3):1016-1027. [24] KALEVA O.Fuzzy differential equations[J]. Fuzzy Sets and Systems, 1987, 24(3):301-317. |
[1] | GONG Zeng-tai, GAO Han. Preinvexity of n-dimensional fuzzy number-valued functions [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(10): 72-81. |
[2] | GONG Zeng-tai, LIU Xiao-xia. Ideal statistical convergence and ideal lacunary statistical convergence for a sequence of fuzzy numbers [J]. J4, 2012, 47(6): 111-116. |
[3] | GAO Shan-Lin, LI Jian, RUAN Xiao-Jia. A method for ranking fuzzy numbers based on the ideal points [J]. J4, 2009, 44(8): 86-89. |
[4] | LIU Pei-de,ZHANG Xin . Research on fuzzy multi-objective evaluation for a financing scheme of construction enterprise [J]. J4, 2008, 43(11): 22-26 . |
|