| (O,N)-蕴涵的新性质 |
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| 引用本文： | 谢海. (O,N)-蕴涵的新性质[J]. 数学的实践与认识, 2021, 0(6): 170-176 |
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| 作者姓名： | 谢海 |
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| 作者单位： | 桂林理工大学理学院;桂林理工大学大数据处理与算法技术研究中心 |
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| 基金项目： | 国家自然科学基金(61763008,11661028,11661030);广西自然科学基金(2017GXNSFAA198223);桂林理工大学博士科研启动基金(002401003452)。 |
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| 摘 要： | 重叠函数是一类特殊的非结合的二元聚类函数.利用重叠函数可以诱导出不同形式的模糊蕴涵.文[7]介绍了由重叠函数O和模糊否定N诱导出的模糊蕴涵—(O,N)-蕴涵,并对(O,N)-蕴涵的基本性质进行了研究,但尚存一些重要性质尚未得到研究.主要基于自同构φ和模糊否定N的相关性质对(O,N)-蕴涵进行深入研究,给出(O,N)-蕴...
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| 关 键 词： | (O,N)-蕴涵 重叠函数 分组函数 模糊蕴涵 模糊否定 |
New Properties of(O,N)-implications |
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| XIE Hai. New Properties of(O,N)-implications[J]. Mathematics in Practice and Theory, 2021, 0(6): 170-176 |
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| Authors: | XIE Hai |
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| Affiliation: | (School of Science,Guilin University of Technology,Guilin 541004,China;Center for Data analysis and Algorithm Technology,Guilin University of Technology,Guilin 541004,China) |
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| Abstract: | Overlap functions is one particular cases of bivariate continuous aggregation functions.The different forms of fuzzy implications can be generated by overlap functions.(O,N)-implications,which were generated by overlap function O and fuzzy negation N,were introduced in [7].The basic properties of(O,N)-implications were studied.But there are some important properties of(O,N)-implications which have not been discussed yet.In this paper,some new important properties of(O,N)-implications are given by use of the properties of automorphism and fuzzy negation N. |
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| Keywords: | (O N)-implications overlap functions grouping functions fuzzy implications fuzzy negation |
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