Fuzzy Upper Bounds in Groupoids
The notion of a fuzzy upper bound over a groupoid is introduced and some properties of it are investigated. We also define the notions of an either-or subset of a groupoid and a strong either-or subset of a groupoid and study some of their related properties. In particular, we consider fuzzy upper b...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/697012 |
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| _version_ | 1849686343713554432 |
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| author | Sun Shin Ahn Young Hee Kim J. Neggers |
| author_facet | Sun Shin Ahn Young Hee Kim J. Neggers |
| author_sort | Sun Shin Ahn |
| collection | DOAJ |
| description | The notion of a fuzzy upper bound over a groupoid is introduced and some properties of it are investigated. We also define the notions of an either-or subset of a groupoid and a strong either-or subset of a groupoid and study some of their related properties. In particular, we consider fuzzy upper bounds in Bin(X), where Bin(X) is the collection of all groupoids. Finally, we define a fuzzy-d-subset of a groupoid and investigate some of its properties. |
| format | Article |
| id | doaj-art-c5d03b764fb54168a5ecee961495cae5 |
| institution | DOAJ |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-c5d03b764fb54168a5ecee961495cae52025-08-20T03:22:44ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/697012697012Fuzzy Upper Bounds in GroupoidsSun Shin Ahn0Young Hee Kim1J. Neggers2Department of Mathematics Education, Dongguk University, Seoul 100-715, Republic of KoreaDepartment of Mathematics, Chungbuk National University, Cheongju 361-763, Republic of KoreaDepartment of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USAThe notion of a fuzzy upper bound over a groupoid is introduced and some properties of it are investigated. We also define the notions of an either-or subset of a groupoid and a strong either-or subset of a groupoid and study some of their related properties. In particular, we consider fuzzy upper bounds in Bin(X), where Bin(X) is the collection of all groupoids. Finally, we define a fuzzy-d-subset of a groupoid and investigate some of its properties.http://dx.doi.org/10.1155/2014/697012 |
| spellingShingle | Sun Shin Ahn Young Hee Kim J. Neggers Fuzzy Upper Bounds in Groupoids The Scientific World Journal |
| title | Fuzzy Upper Bounds in Groupoids |
| title_full | Fuzzy Upper Bounds in Groupoids |
| title_fullStr | Fuzzy Upper Bounds in Groupoids |
| title_full_unstemmed | Fuzzy Upper Bounds in Groupoids |
| title_short | Fuzzy Upper Bounds in Groupoids |
| title_sort | fuzzy upper bounds in groupoids |
| url | http://dx.doi.org/10.1155/2014/697012 |
| work_keys_str_mv | AT sunshinahn fuzzyupperboundsingroupoids AT youngheekim fuzzyupperboundsingroupoids AT jneggers fuzzyupperboundsingroupoids |