Fuzzy logics with an additional involutive negation

Authors:
Petr Cintula;Erich Peter Klement;Radko Mesiar;Mirko Navara
Affiliations:
Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod vodárenskou věží 2, 182 07 Prague, Czech Republic;Department of Knowledge-Based Mathematical Systems, Johannes Kepler University, 4040 Linz, Austria;Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, 813 68 Bratislava, Slovakia and Institute for Research and Applications of Fuzzy ...;Center for Machine Perception, Department of Cybernetics, Faculty of Electrical Engineering, Czech Technical University in Prague, Technická 2, 166 27 Prague, Czech Republic
Venue:
Fuzzy Sets and Systems
Year:
2010

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Abstract

This paper surveys the present state of knowledge on propositional fuzzy logics extending SBL with an additional involutive negation. The involutive negation is added as a new propositional connective in order to improve the expressive power of the standard mathematical fuzzy logics based on continuous triangular norms.