The Category VRel(H)
نویسندگان
چکیده
We introduce the new category VRel(H) consisting of H-fuzzy relation spaces and H-fuzzy mappings between them satisfying a certain condition, where the concept of H-fuzzy mapping is the modification of one of fuzzy mapping introduced by Demirci[6]. And we investigate VRel(H) in the sense of a topological universe and show that VRel(H) is Cartesian closed over Set. Moreover, we construct the category VFRel(H) consisting of all H-fuzzy relational spaces over Hfuzzy sets and relation preserving mappings between them, and we find some properties of the category VFRel(H). And we study the relations between the categories Rel(H) and VRel(H). Mathematics Subject Classification: 04A72, 18B10
منابع مشابه
Subcategories of the Category VRel ( H )
We introduce the subcategory VRelR(H) of VRel(H) consisting of H-fuzzy reflexive relational space on sets and we study structures of VRelR(H) in a viewpoint of the topological universe introduced by L.D.Nel. We show that VRelPO(H) of VRelR(H). We show that VRelPR(H) [resp. VRelP (H) and VRelE(H)] is a topological universe over Set. Mathematics Subject Classification: 04A72, 18B10, 18D15
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