On Abelian and Related Fuzzy Subsets of Groupoids
We introduce the notion of abelian fuzzy subsets on a groupoid, and we observe a variety of consequences which follow. New notions include, among others, diagonal symmetric relations, several types of quasi orders, convex sets, and fuzzy centers, some of whose properties are also investigated.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/476057 |
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| _version_ | 1832567530061824000 |
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| author | Seung Joon Shin Hee Sik Kim J. Neggers |
| author_facet | Seung Joon Shin Hee Sik Kim J. Neggers |
| author_sort | Seung Joon Shin |
| collection | DOAJ |
| description | We introduce the notion of abelian fuzzy subsets on a groupoid, and we observe a variety of consequences which follow. New notions include, among others, diagonal symmetric relations, several types of quasi orders, convex sets, and fuzzy centers, some of whose properties are also investigated. |
| format | Article |
| id | doaj-art-8f5d8a3d74094b1098d3b67612567b24 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-8f5d8a3d74094b1098d3b67612567b242025-02-03T01:01:17ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/476057476057On Abelian and Related Fuzzy Subsets of GroupoidsSeung Joon Shin0Hee Sik Kim1J. Neggers2Department of Physics, University of Michigan, Ann Arbor, MI 48109, USADepartment of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Republic of KoreaDepartment of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USAWe introduce the notion of abelian fuzzy subsets on a groupoid, and we observe a variety of consequences which follow. New notions include, among others, diagonal symmetric relations, several types of quasi orders, convex sets, and fuzzy centers, some of whose properties are also investigated.http://dx.doi.org/10.1155/2013/476057 |
| spellingShingle | Seung Joon Shin Hee Sik Kim J. Neggers On Abelian and Related Fuzzy Subsets of Groupoids The Scientific World Journal |
| title | On Abelian and Related Fuzzy Subsets of Groupoids |
| title_full | On Abelian and Related Fuzzy Subsets of Groupoids |
| title_fullStr | On Abelian and Related Fuzzy Subsets of Groupoids |
| title_full_unstemmed | On Abelian and Related Fuzzy Subsets of Groupoids |
| title_short | On Abelian and Related Fuzzy Subsets of Groupoids |
| title_sort | on abelian and related fuzzy subsets of groupoids |
| url | http://dx.doi.org/10.1155/2013/476057 |
| work_keys_str_mv | AT seungjoonshin onabelianandrelatedfuzzysubsetsofgroupoids AT heesikkim onabelianandrelatedfuzzysubsetsofgroupoids AT jneggers onabelianandrelatedfuzzysubsetsofgroupoids |