| 一类由一致模与模糊否定构造的新模糊蕴涵——(N,U)-蕴涵 |
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| 引用本文： | 于鹏,李冉冉.一类由一致模与模糊否定构造的新模糊蕴涵——(N,U)-蕴涵[J].山东大学学报(理学版),2023,58(5):1-9. |
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| 作者姓名： | 于鹏 李冉冉 |
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| 作者单位： | 陕西科技大学数学与数据科学学院, 陕西 西安 710021 |
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| 基金项目： | 国家自然科学基金资助项目(12171294);陕西科技大学博士科研启动基金项目(2019BJ-41) |
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| 摘 要： | 在(U,N)-蕴涵的基础上，从经典蕴涵算子p→q=?p∨q的对偶形式p→q=?(p∧?q)出发，用合取一致模U取代?(p∧?q)中的∧运算，用一般模糊否定N取代?(p∧?q)中的?运算，生成了一类新的模糊蕴涵，称为(N,U)-蕴涵。(N,U)-蕴涵是一类不同于(U,N)-蕴涵的蕴涵算子，与(U,N)-蕴涵形成了互补，丰富了蕴涵算子的生成方法。
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| 关 键 词： | 一致模 模糊蕴涵 模糊否定 (U N)-蕴涵 三角模 |
(N,U)-implication: a kind of new fuzzy implication constructed by uninorms and fuzzy negation |
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| YU Peng,LI Ranran.(N,U)-implication: a kind of new fuzzy implication constructed by uninorms and fuzzy negation[J].Journal of Shandong University,2023,58(5):1-9. |
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| Authors: | YU Peng LI Ranran |
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| Affiliation: | School of Mathematics and Data Sciences, Shaanxi University of Science and Technology, Xian 710021, Shaanxi, China |
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| Abstract: | Based on the duality principle and(U,N)-implication, we construct a new type of fuzzy implication, named(N,U)-implication, which is obtained by replacing ∧ and operators with conjunctive uninorms and general fuzzy negations in the formula p→q=(p∧q)in classical logic system.(N,U)-implication differs from the(U,N)-implication, and can be considered its complement to a certain extent thus enriching the pool of the generating methods for fuzzy implications. |
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| Keywords: | uninorms fuzzy implication fuzzy negation (U N)-implication triangular norms |
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