| 一个新的直觉模糊蕴涵算子 |
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| 作者单位： | ;1.河南师范大学数学与信息科学学院;2.河南师范大学大数据统计分析与优化控制河南省工程实验室;3.河南师范大学计算机与信息工程学院 |
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| 摘 要： | 在直觉模糊集理论基础上,结合模糊蕴涵的概念,构造了一个新的蕴涵算子,证明了该算子满足边界性、正则性、单调性等一些重要性质.在此基础上,证明了该蕴涵算子和直觉模糊交运算可构成直觉模糊剩余格.
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| 关 键 词： | 直觉模糊集 蕴涵算子 剩余格 |
A New Intuitionistic Fuzzy Implication Operator |
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| Affiliation: | ,College of Mathematics and Information Science,Henan Normal University,Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control,Henan Normal University,College of Computer an Information Technology,Henan Normal University |
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| Abstract: | A new implication operator is constructed by combining the concept of fuzzy implication based on the theory of intuitionistic fuzzy sets.It has been proved that the operator satisfies some important properties such as boundary,regularity,and monotone.On this foundation,it is proved that this implication operator and intuitionistic fuzzy intersection operation can form the intuitionistic fuzzy residuated lattice. |
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| Keywords: | intuitionstic fuzzy sets implication operator residuated lattice |
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