模糊数的三角模糊数幂级数展开
Fuzzy Number Expands to a Power Series of Triangular Fuzzy Number
DOI: 10.12677/AAM.2018.71011, PDF, HTML, XML, 下载: 1,451  浏览: 2,739  国家自然科学基金支持
作者: 李洪亮, 裴慧丽:河北大学,数学与信息科学学院,机器学习与人工智能重点实验室,河北 保定
关键词: 三角模糊数幂级数H差虚模糊数幂级数展开Power Series of Triangular Fuzzy Numbers H-Difference Imaginary Fuzzy Number Power Series Expansion
摘要: 本文研究了模糊数表示成三角模糊数的幂级数问题。通过引入H差虚模糊数,使得模糊数之间的H差可以作形式计算,进而得到了模糊数展开成三角模糊数幂级数的公式。
Abstract: In this paper, it is studied that fuzzy number expands to power series of triangular fuzzy numbers. By introducing the definition of H-difference imaginary fuzzy number, the H difference between the fuzzy numbers can be calculated as the form. And then it is shown that formula of fuzzy number expands to power series of triangular fuzzy numbers.
文章引用:李洪亮, 裴慧丽. 模糊数的三角模糊数幂级数展开[J]. 应用数学进展, 2018, 7(1): 91-94. https://doi.org/10.12677/AAM.2018.71011

参考文献

[1] Diamond, P. and Kloeden, P.E. (1994) Metric Space of Fuzzy Sets-Theory and Applications. World Scientific, Singapore.
https://doi.org/10.1142/2326
[2] 吴从炘, 马明. 模糊分析学基础[M]. 北京: 国防工业出版社, 1991.
[3] 吴从炘, 马明, 方锦喧. 模糊分析学的结构理论[M]. 贵阳: 贵州科技出版社, 1994.
[4] Stojaković, M. and Stojaković, Z. (2009) Series of Fuzzy Sets. Fuzzy Sets and Systems, 160, 3115-3127.
https://doi.org/10.1016/j.fss.2008.12.013
[5] 李洪亮, 裴慧丽, 欧芳芳. 模糊数项级数的收敛性[J]. 哈尔滨商业大学学报, 2012, 33(2): 212-213.
[6] 李洪亮, 裴慧丽, 何强, 西正明. 关于模糊数H差的存在性的讨论[J]. 模糊系统与数学, 2015, 29(3): 119-122.