Categories of interval-valued fuzzy sets

John Harding, Carol Walker, Elbert Walker
2012 2012 Annual Meeting of the North American Fuzzy Information Processing Society (NAFIPS)  
We study two categories, both having intervalvalued fuzzy sets as objects. One has certain functions between the domains as morphisms and the other is expanded to include certain relations between the domains as morphisms. We describe some of the basic properties of each of these categories. We lift tnorms and negations to the category with relations. The t-norms are used to define a "tensor product" on that category.
doi:10.1109/nafips.2012.6291039 fatcat:y66n43vrjjd4lg5hiwzpiyb72a