International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 17, Pages 2723-2734

Intuitionistic H-fuzzy relations

Kul Hur,1 Su Youn Jang,1 and Hee Won Kang2

1Division of Mathematics and Informational Statistics and Institute of Basic Natural Science, Wonkwang University, Chonbuk, Iksan 579-792, Korea
2Department of Mathematics Education, Woosuk University, Hujong-Ri, Samrae-Eup, Wanju-kun, Chonbuk, 565-701, Korea

Received 14 February 2005; Revised 19 June 2005

Copyright © 2005 Kul Hur et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We introduce the category IRel(H) consisting of intuitionistic fuzzy relational spaces on sets and we study structures of the category IRel(H) in the viewpoint of the topological universe introduced by Nel. Thus we show that IRel(H) satisfies all the conditions of a topological universe over Set except the terminal separator property and IRel(H) is cartesian closed over Set.