Abstract
We introduce the category IVRel(H) consisting of interval-valued H-fuzzy relational spaces and relation preserving mappings between them and we study structures of the category IVRel(H) in the viewpoint of the topological universe introduced by Nel. Thus we show that IVRel(H) satisfies all the conditions of a topological universe over Set except the terminal separator property and IVRel(H) is Cartesian closed over Set. Furthermore, we study some relations among Rel(H), IRel(H) and IVRel(H).
| Original language | English |
|---|---|
| Pages (from-to) | 269-282 |
| Number of pages | 14 |
| Journal | International Journal of Pure and Applied Mathematics |
| Volume | 60 |
| Issue number | 3 |
| State | Published - 2010 |
Keywords
- (Co)topological category
- Cartesian closed category
- Interval-valued H-fuzzy relation
- Topological universe
Quacquarelli Symonds(QS) Subject Topics
- Mathematics
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