基于对偶犹豫模糊语言变量的在线课堂学生需求分析
Analysis of Students’ Requirements in Online Classroom Based on Dual Hesitation Fuzzy Language Variables
摘要: 基于对偶犹豫模糊语言变量、Frank-T范数和Frank-S范数的定义，给出了对偶犹豫模糊语言变量的运算规则、得分函数、精确函数，定义了对偶犹豫模糊语言Frank集结算子及其运算规则和基本性质。针对属性值为对偶犹豫模糊语言变量的多属性决策问题，提出了一种基于对偶犹豫模糊语言Frank算子的多属性决策方法。最后，结合实际学生需求问题，以在线课堂为实例，将学生需求的自然语言描述转化为对偶犹豫模糊语言，并运用对偶犹豫模糊Frank算子对顾客需求进行排序，验证了该方法的可行性和有效性。
Abstract: Based on the definitions of dual hesitant fuzzy linguistic variables, Frank-S norm and Frank-T norm, their operational rules, score function and accuracy function are proposed in the paper. Frank aggregator operation of dual hesitant fuzzy language and its operational laws are also defined. For fuzzy multiple attribute decision making problems in which the attribute values take the form of dual hesitant fuzzy linguistic variables, a method based on dual hesitant fuzzy linguistic Frank operator is investigated. Finally, combining with the actual student demand problem and taking the online classroom as an example, the natural language description of student demand is transformed into the dual hesitation fuzzy language, and the dual hesitation fuzzy Frank operator is used to sort the customer demand, which verifies the feasibility and effectiveness of the method.
文章引用：程紫薇, 徐向阳, 王斌斌. 基于对偶犹豫模糊语言变量的在线课堂学生需求分析[J]. 应用数学进展, 2020, 9(7): 997-1005. https://doi.org/10.12677/AAM.2020.97119

参考文献

[1] Zadeh, L.A. (1965) Fuzzy Sets. Information and Control, 8, 338-353. [Google Scholar] [CrossRef] 
[2] Atanassov, K.T. (1986) Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems, 20, 87-96. [Google Scholar] [CrossRef] 
[3] Torra, V. (2010) Hesitant Fuzzy Sets. International Journal of Intelligent Systems, 25, 529-539. [Google Scholar] [CrossRef] 
[4] Zhu, B., Xu, Z.S. and Xia, M.M. (2012) Dual Hesitant Fuzzy Sets. Journal of Applied Mathematics, 26, 410-425. [Google Scholar] [CrossRef] 
[5] 汪永玲, 冯向前, 张华荣. 基于对偶犹豫模糊语言的多属性决策方法[J]. 统计与决策, 2019, 35(3): 42-46.
[6] 杜玉琴. 直觉不确定语言Frank集结算子及其应用[J]. 数学的实践与认识, 2018, 48(3): 1-11.
[7] 杜玉琴, 侯福均. 区间直觉语言Frank集结算子及其在决策中的应用[J]. 控制与决策, 2018, 33(1): 119-125.
[8] 翟玉冰, 侯福均, 杜玉琴, 等. 直觉梯形模糊语言Frank算子及其在决策中的应用[J]. 运筹与管理, 2018, 27(4): 29-34+38.
[9] 宋瑞敏, 何雨卉. 一种直觉模糊多属性群决策方法及其拓展运用[J]. 科技管理研究, 2017, 37(21): 234-239.
[10] 马庆功. 基于加权犹豫Frank几何算法的决策模型[J]. 计算机工程与应用, 2018, 54(24): 123-127+155.
[11] 赵晓冬, 张妮, 臧誉琪. 区间中智犹豫模糊Frank优先集成算子及其应用[J]. 模糊系统与数学, 2019, 33(2): 99-120.
[12] 刘超, 汤国林, 刘宸琦, 等. 基于区间对偶犹豫不确定语言广义Banzhaf Choquet积分算子的多属性决策方法[J]. 系统工程理论与实践, 2018, 38(5): 1203-1216.
[13] 王金山, 杨宗华. 基于Power几何算子的对偶犹豫不确定语言多属性决策方法[J]. 模糊系统与数学, 2017, 31(6): 36-42.
[14] Zhang, Z. (2013) Hesitant Fuzzy Power Aggregation Operators and Their Application to Multiple Attribute Group Decision Making. Information Sciences, 234, 150-181. [Google Scholar] [CrossRef] 
[15] Wang, H., Zhao, X. and Wei, G. (2014) Dual Hesitant Fuzzy Aggregation Operators in Multiple Attribute Decision Making. Journal of Intelligent and Fuzzy Systems, 26, 2281-2290. [Google Scholar] [CrossRef] 
[16] Frank, M.J. (1978) On the Simultaneous Associativity of F(x,y) and x+y-F(x,y). Aequationes Mathematicae, 18, 266-267. [Google Scholar] [CrossRef] 
[17] 杨尚洪, 鞠彦兵. 基于对偶犹豫模糊语言变量的多属性决策方法[J]. 运筹与管理, 2015, 24(5): 91-96.

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