基于Sugeno测度半一致模Choquet积分
The Choquet Integral of Semi-UninormBased on Sugeno Measures
DOI: 10.12677/PM.2023.134118, PDF, HTML,    科研立项经费支持
作者: 李巧霞*, 徐苏苏, 辛 珍, 杨雨荷：伊犁师范大学数学与统计学院，新疆 伊宁；伊犁师范大学应用数学研究所，新疆 伊宁
关键词: Sugeno测度；Choquet 积分；SUOWA算子 ；Sugeno Masures； Choquet Integral； SUOWA Operators
摘要: 基于半一致模的有序加权平均(SUOWA)算子是加权平均(WA)算子和有序加权平均(OWA)算子的推广, 本文在基于Sugeno 测度半一致模的Choquet积分的基础上, 结合基于半一致模有序加权平均算子的特点, 讨论了基于Sugeno 测度半一致模的Choquet积分的相关性质, 从而对多元数据进行更好地集成。
Abstract: The semi-uninorm ordered weighted averaging (SOWA) operators is generalize of weighted means and OWA operators. In this paper, the Choquet Integral of semi-uninorm based on Sugeno measures are discussed and combine the characteristics of the the semi-uninorm ordered weighted averaging operators.
文章引用：李巧霞, 徐苏苏, 辛珍, 杨雨荷. 基于Sugeno测度半一致模Choquet积分[J]. 理论数学, 2023, 13(4): 1135-1141. https://doi.org/10.12677/PM.2023.134118

参考文献

[1] Grabisch, M. (1995) Fuzzy Integral in Multicriteria Decision Making. Fuzzy Sets and Systems, 69, 279-298. [Google Scholar] [CrossRef] 
[2] Yager, R.R. (1988) On Ordered Weighted Averaging Aggregation Operators in Muiticriteria Decision Making. IEEE Transactions on Systems, Man, and Cybernetics, 18, 183-190. [Google Scholar] [CrossRef] 
[3] Torra, V. (1996) Weighted OWA Operators for Synthesis of Information. Proceedings of the Fifth IEEE International Fuzzy Systems, 2, 966-971. [Google Scholar] [CrossRef] 
[4] Yager, R.R. (1993) Families of OWA Operators. Fuzzy Sets and Systems, 59, 125-148. [Google Scholar] [CrossRef] 
[5] Llamazares, B. (2015) Constructing Choquet Integral-Based Operators That Generalize Weighted Means and OWA Operators. Information Fusion, 23, 131-138.[CrossRef] 
[6] 巩增泰, 李慧婷. 基于非可加测度的OWA算子递归集成及其集成器设计[J]. 陕西师范大学学报, 自然科学版, 2018, 46(3): 48-54.
[7] Llamazares, B. (2016) SUOWA Operators: Constructing Semi-Uninorms and Analyzing Specific Cases. Fuzzy Sets and Systems, 278, 119-136. [Google Scholar] [CrossRef] 
[8] 吴从炘, 马明. 模糊分析学基础[M]. 北京: 国防工业出版社, 1991.
[9] Grabisch, M., Murofushi, T. and Sugeno, M. (2000) Fuzzy Measures and Integrals: Theory and Application. Physica-Verlag, Heidelberg.
[10] Llamazares, B. (2020) On the Relationship between the Crescent Method and SUOWA Operators. IEEE Transactions on Fuzzy Systems, 28, 2645-2650. [Google Scholar] [CrossRef] 
[11] 哈明虎, 吴从炘. 模糊测度与模糊积分理论[M]. 北京: 科学出版社, 1998.
[12] Liu, H.W. (2012) Semi-Uninorms and Implications on a Complete Lattice. Fuzzy Sets and Systems, 191, 72-82. [Google Scholar] [CrossRef] 
[13] 巩增泰, 李巧霞. 基于Sugeno�度的半一致模有序加权平均算子及其递归集成器设计[J]. 模糊系统与数学, 2019, 33(6): 11-28.

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