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 category
consisting of interval-valued H-fuzzy relational spaces and relation preserving mappings between them and we study structures of the category
in the viewpoint of the topological universe introduced by Nel. Thus we show that
satisfies all the conditions of a topological universe over Set except the terminal separator property and
is Cartesian closed over Set. Further more, we study some relations among
,
and
.
Received: March 3, 2010
AMS Subject Classification: 04A72, 18D15, 03F55
Key Words and Phrases: interval-valued H-fuzzy 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