IJPAM: Volume 20, No. 1 (2005)

INTUITIONISTIC H-FUZZY REFLEXIVE RELATIONS

Kul Hur$^1$, Hee Won Kang$^2$, Jun Hui Kim$^3$
$^{1,3}$Division of Mathematics and Informational Statistics
Institute of Basic Natural Science
Wonkwang University Iksan
Chonbuk, 570-749, KOREA
$^1$e-mail: kulhur@wonkwang.ac.kr
$^3$e-mail: junhikim@wonkwang.ac.kr
$^2$Department of Mathematical Education
Woosuk University
Hujong-Ri Samrae-Eup, Wanju-kun Chonbuk, 565-701, KOREA
e-mail: khwon@woosuk.ac.kr


Abstract.We introduce the subcategory ${\bf IRel_R}(H)$ of ${\bf IRel}(H)$ consisting of intuitionistic H-fuzzy reflexive relational space on sets and we study structures of ${\bf IRel_R}(H)$ in a viewpoint of the topological universe introduce by Nel. We show that ${\bf IRel_R}(H)$ is a topological universe over Set. Moreover, we show that exponential objects in ${\bf IRel_R}(H)$ are quite different from those in ${\bf IRel}(H)$.

Received: February 18, 2005

AMS Subject Classification: 04A72,18B10,18D15, 03F55

Key Words and Phrases: intuitionistic H-fuzzy reflexive relation, cartesian closed category, topological universe

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 20
Issue: 1