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模糊蕴涵算子及其构造(Ⅱ)——模糊蕴涵算子的伴随对及其圈乘算子
FUZZY IMPLICATION OPERATORS AND THEIR CONSTRUCTION (Ⅱ): ADJOINT PAIRS OF FIOS AND CIRCLE-MULTIPLICATION OPERATORS
【摘要】 验证了 15个有可能存在伴随对的模糊蕴涵算子的保存在交性质 ,结果表明它们都满足保存在交性质 .求出了这 15个模糊蕴涵算子的伴随对 ,得到了 14个模糊蕴涵算子 .给出了一种构造模糊蕴涵算子的方法 ,并求出了在这种构造方法下 ,由 4 6个模糊蕴涵算子构造得到的模糊蕴涵算子及这 4 6个模糊蕴涵算子的圈乘算子 ,共构造出 89个模糊蕴涵算子
【Abstract】 The preserving existence intersection property of 15 FIOs which may have adjoint pairs are testified respectively. The result shows that all of them satisfy the preserving existence intersection property. The adjoint pairs of 15 FIOs are obtained. A method which can construct FIOs is given, and some FIOs are constructed by 46 FIOs under this kind of method. Moreover, circle multiplication operators of 46 FIOs are obtained respectively. 89 FIOs are constructed in all.
【关键词】 模糊蕴涵算子;
保存在交;
伴随对;
圈乘算子;
【Key words】 FIOs; the preserving existence intersection property; adjoint pairs; circle multiplication operators;
【Key words】 FIOs; the preserving existence intersection property; adjoint pairs; circle multiplication operators;
【基金】 国家自然科学基金资助项目 ( 6 0 174 0 13);教育部博士点基金资助项目( 2 0 0 2 0 0 2 70 13);教育部科学技术重点项目(0 3184 );国家“九七三”重大基础研究计划资助项目( 2 0 0 2CB312 2 0 0 )
- 【文献出处】 北京师范大学学报(自然科学版) ,Journal of Beijing Normal University(Natural Science) , 编辑部邮箱 ,2004年02期
- 【分类号】O177
- 【被引频次】28
- 【下载频次】245