Implicative Ideals of BCK-Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows

Young Bae Jun; Min Su Kang; Chul Hwan Park

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Implicative Ideals of BCK-Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows

机译：基于模糊集和落影理论的BCK代数的隐含理想

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摘要

Based on the theory of falling shadows and fuzzy sets, the notion of a falling fuzzy implicative ideal of a BCK-algebra is introduced. Relations among falling fuzzy ideals, falling fuzzy implicative ideals, falling fuzzy positive implicative ideals, and falling fuzzy commutative ideals are given. Relations between fuzzy implicative ideals and falling fuzzy implicative ideals are provided.

机译：基于落影理论和模糊集理论，介绍了BCK代数的落模糊蕴涵理想的概念。给出了下降的模糊理想，下降的模糊蕴涵理想，下降的模糊正暗示理想和下降的模糊交换理想之间的关系。提供了模糊蕴涵理想与下降模糊蕴涵理想之间的关系。

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《International journal of mathematics and mathematical sciences》 |2010年第11期|共11页
作者
Young Bae Jun; Min Su Kang; Chul Hwan Park;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Relations; Algebras; notion;

机译：关系;代数;概念;

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专利

1. Implicative Ideals of BCK-Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows [J] . Young BaeJun, Min SuKang, Chul HwanPark International journal of mathematics and mathematical sciences . 2010,第1期

机译：基于模糊集和落影理论的BCK代数的隐含理想
2. Implicative Ideals of BCK-Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows [J] . Young Bae Jun, Min Su Kang, Chul Hwan Park International journal of mathematics and mathematical sciences . 2010,第11期

机译：基于模糊集和落影理论的BCK代数的隐含理想
3. Fuzzy positive implicative ideals of BCK-algebras based on the theory of falling shadows [J] . Young Bae Jun, Min Su Kang Computers & mathematics with applications . 2011,第1期

机译：基于落影理论的BCK代数的模糊正蕴涵理想
4. Generalized intuitionistic fuzzy rough sets based on an intuitionistic fuzzy residual implicator [C] . Zhang Haidong, He Yanping International Conference on Fuzzy Systems and Knowledge Discovery . 2013

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5. Content-based image retrieval based on fuzzy sets theory and learning automaton. [D] . Sule-koiki, Adedokun W. 2005

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6. An Improved Fuzzy c-Means Clustering Algorithm Based on Shadowed Sets and PSO [O] . Jian Zhang, Ling Shen 2014

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7. Fuzzy positive implicative ideals of BCK-algebras based on the theory of falling shadows [O] . Jun Young Bae, Kang Min Su 2011

机译：基于落影理论的BCK代数的模糊正蕴涵理想
8. Fuzzy sets, rough sets, and modeling evidence: Theory and Application. A Dempster-Shafer based approach to compromise decision making with multiattributes applied to product selection [R] . Dekorvin, Andre 1992

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Implicative Ideals of BCK-Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows

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