Abstract-- We introduce a new way of looking at fuzzy intervals. Instead of considering them as fuzzy sets, we see them as crisp sets of entities we call gradual (real) numbers. Th...
Abstract-- This paper examines type-2 fuzzy arithmetic using interval analysis. It relies heavily on alpha-cuts and alpha-planes. Furthermore, we discuss the use of quasi type-2 fu...
Intuitionistic Fuzzy Sets Theory is based on a wrong nominalistic (terminological) assumption. It is defined as “intuitionistic” a negation which does not satisfy usual prope...
Fuzziness (entropy) is a commonly used measure of uncertainty for type-1 fuzzy sets. For interval type-2 fuzzy sets (IT2 FSs), centroid, cardinality, fuzziness, variance and skewn...
The characterization of S-implications generated from strong negations presented firstly by Trillas and Valverde in 1985 is wellknown in the literature. In this paper we show tha...