H¨ohle has identified fuzzy sets, valued in a frame (complete Heyting algebra) Ω, with certain sheaves over Ω: the subsheaves of constant sheaves More general sheaves can be...
In the previous years some authors have been elaborating on the measurementtheoretic foundations of fuzzy set theory. A well-known problem in this approach is the difficult applic...
In this paper, we discuss a formalism for modeling regions that are exposed to movement or deformation. The basis of our formalism is the RCC theory, which uses topological relati...
This paper presents new techniques for performing logical operations on type-2 fuzzy sets. These techniques make significant use of geometric methods to give, for the first time, ...
A comparison is made of two approaches to approximate reasoning: Mamdani's interpolation method and the implication method. Both approaches are variants of Zadeh's compo...