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  最后修改时间: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.
基金项目:
作者单位
Ravi Kumar BANDARU Department of Engineering Mathematics, GITAM University, Hyderabad Campus, Andhra Pradesh 502329, India 
岑嘉评 云南大学数学所, 云南 昆明 650091 
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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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