| Implicative Ideals and Fuzzy Implicative Ideals of a Distributive Implication Groupoid |
| Received:August 28, 2014 Revised:September 04, 2014 |
| Key Words:
implication groupoids distributive implication groupoids fuzzy ideals implicative ideals fuzzy implicative ideals.
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2014.06.001 |
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