Generalized negations and intuitionistic fuzzy sets - a criticism to a widely used terminology

Intuitionistic Fuzzy Sets Theory is based on a wrong nominalistic (terminological) assumption. It is defined as “intuitionistic” a negation which does not satisfy usual properties of the intuitionistic Brouwer negation, but it is called with this term only a particular generalized notion of negation which indeed corresponds to the de Morgan negation. This metatheoretical assumption is criticized and the role of different generalized negations is discussed.

• Type: Conference
• Year: 2003
• Where: EUSFLAT
• Authors: Gianpiero Cattaneo, Davide Ciucci
• Keywords: EUSFLAT 2003, EUSFLAT 2007, Intuitionistic Brouwer Negation, Intuitionistic Fuzzy Sets, Morgan Negation