# H * H-FUZZY SETS

• Lee, Wang-Ro (Faculty of Liberal Education, Chonbuk National University) ;
• Hur, Kul (Division of Mathematics and Informational Statistics Wonkwang University)
• Accepted : 2010.05.27
• Published : 2010.06.25
• 104 108

#### Abstract

We define H*H-fuzzy set and form a new category Set(H*H) consisting of H*H-fuzzy sets and morphisms between them. First, we study it in the sense of topological universe and obtain an exponential objects of Set(H*H). Second, we investigate some relationships among the categories Set(H*H), Set(H) and ISet(H).

#### Keywords

H*H-fuzzy set;(co)topological category;cartesian closed category;topological universe;topos

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