Ravi Kumar BANDARU,岑嘉评.Implicative Ideals and Fuzzy Implicative Ideals of a Distributive Implication Groupoid[J].数学研究及应用,2014,34(6):631~639 |
Implicative Ideals and Fuzzy Implicative Ideals of a Distributive Implication Groupoid |
Implicative Ideals and Fuzzy Implicative Ideals of a Distributive Implication Groupoid |
投稿时间:2014-08-28 修订日期:2014-09-04 |
DOI:10.3770/j.issn:2095-2651.2014.06.001 |
中文关键词: implication groupoids distributive implication groupoids fuzzy ideals implicative ideals fuzzy implicative ideals. |
英文关键词:implication groupoids distributive implication groupoids fuzzy ideals implicative ideals fuzzy implicative ideals. |
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中文摘要: |
We introduce the notions of implicative ideals and fuzzy implicative ideals of a distributive implication groupoid. Some properties of these ideals will be investigated. In particular, the necessary and sufficient conditions for an ideal (fuzzy ideal) to be an implicative ideal (fuzzy implicative ideal) is given. By using the concept of level sets, we will characterize the fuzzy implicative ideals of a distributive implication groupoid. Finally, an extension property for fuzzy implicative ideals is given. |
英文摘要: |
We introduce the notions of implicative ideals and fuzzy implicative ideals of a distributive implication groupoid. Some properties of these ideals will be investigated. In particular, the necessary and sufficient conditions for an ideal (fuzzy ideal) to be an implicative ideal (fuzzy implicative ideal) is given. By using the concept of level sets, we will characterize the fuzzy implicative ideals of a distributive implication groupoid. Finally, an extension property for fuzzy implicative ideals is given. |
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