IJPAM: Volume 60, No. 3 (2010)




Nanoscale Science and Technology Institute
Wonkwang University
Iksan, Chonbuk, 570-749, KOREA
e-mail: kulhur@wonkwang.ac.kr

Cheonbuk National University
Jeonju, Cheonbuk, 561-756, KOREA
e-mail: wrlee@jbun.ac.kr
Abstract.We introduce the subcategory
of
consisting of interval-valued H-fuzzy reflexive relational space on sets and we study structures of
in a viewpoint of the topological universe introduce by Nel. We show that
is a topological universe over Set. Moreover, we show that exponential objects in
are quite different from those in
. Also we introduce the subcategories
,
and
of
and investigate their structures in the sense of a topological universe.
Received: March 3, 2010
AMS Subject Classification: 04A72, 18B10, 18D15, 03F55
Key Words and Phrases: interval-valued H-fuzzy reflexive (resp. symmetric, transitive, proximity, preorder and equivalence) relation, (co)topological category, Cartesian closed category, topological universe
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 60
Issue: 3