International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 17, Pages 2723-2734
doi:10.1155/IJMMS.2005.2723
Intuitionistic H-fuzzy relations
Kul Hur1
, Su Youn Jang1
and Hee Won Kang3
1Division of Mathematics and Informational Statistics and Institute of Basic Natural Science, Wonkwang University, Chonbuk, Iksan 579-792, Korea
3Department of Mathematics Education, Woosuk University, Hujong-Ri, Samrae-Eup, Wanju-kun, Chonbuk, 565-701, Korea
Abstract
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.