An Introduction to Interpolative Boolean Algebra
Interpolative Boolean Algebra (IBA) is a consistent generalization of classical two-valued to multi-valued Boolean algebras. IBA has two levels:
A value-independent symbolic (qualitative) level defined by Boolean algebra, and
A valued (quantitative) level defined by interpolations.
The new approach, contrary to other approaches (MV-logics, fuzzy logic, theory of fuzzy sets, MV-relations and so on), preserves all Boolean laws in all possible valued realizations. The main idea of IBA and its possible application aresa will be illustrated by examples.
Dr. Dragan Radojevic is the Head of the Intelligent Systems Division, Mihajlo Pupin Institute, Belgrade, Serbia & Montenegro. His early work was in the area of system analysis, decision analysis, and game theory. His current research is focused on generalized logic - interpolative logic, generalized theory of sets - interpolative set theory and generalized relations - interpolative relations. He is president of the Serbian Operational Research Society and founder of SOCOIS, Serbian Soft Computing Intelligent System Society. Dr. Radojevic received his BSEE, MS, and Sc.D. from the University of Belgrade.