International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 4, Pages 727-737
doi:10.1155/S0161171299227275

On fuzzy function spaces

Abstract

In [3], we started the investigation of compactness in fuzzy function spaces in FCS, the category of fuzzy convergence spaces as defined by Lowen/Lowen/Wuyts [8]. This paper goes somewhat deeper in the investigation of fuzzy function spaces using the notion of splitting and conjoining structures on fuzzy subsets. We discuss the connection to the exponential law and give several examples of such structures. As a special case, we study a notion of fuzzy compact open topology.