Implicative Ideals and Fuzzy Implicative Ideals of a Distributive Implication Groupoid  

作　　者：Ravi Kumar BANDARU K.P.SHUM 

机构地区：[1]Department of Engineering Mathematics, GITAM University, Hyderabad Campus [2]Institute of Mathematics, Yunnan University

出　　处：《Journal of Mathematical Research with Applications》2014年第6期631-639,共9页数学研究及应用（英文版）

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.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.

关 键 词：implication groupoids distributive implication groupoids fuzzy ideals implicative ideals fuzzy implicative ideals 

分 类 号：O152[理学—数学]