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Describing Green ’ S Relations in Ordered Γ-groupoids Using a New Concept : Fuzzy Subsets 1
| Content Provider | Semantic Scholar |
|---|---|
| Author | Iampan, Aiyared Siripitukdet, Manoj |
| Copyright Year | 2013 |
| Abstract | This work extends the idea of the Green’s relations R,L, I and the usual relation N of ordered groupoids to ordered Γ-groupoids in terms of fuzzy subsets, the concept of the Green’s relations R,L, I and the usual relation N of ordered Γ-groupoids is introduced and investigated, which is an interesting for ordered Γ-groupoids and some interesting characterizations of the Green’s relations R,L, I and the usual relation N of ordered Γ-groupoids are obtained. Also, we define relations RF ,LF , IF and N F of ordered Γ-groupoids in terms of fuzzy subsets and we prove that RF = R, LF = L, IF = I and N F = N in the same way as of the results of Kehayopulu and Tsingelis [8]. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://ijpam.uniud.it/online_issue/201331/12-IampanSiripitukdet.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |