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Discrete complex fuzzy logic

In this paper we propose a complex fuzzy logic (CFL) system that is based on the extended Post (multi-valued logic) system (EPS) of order p >; 2, and demonstrate its utility for reasoning with fuzzy facts and rules. The advantage of this formalism is that it is discrete. Hence, it better fits real time applications, digital signal processing, and embedded systems that use integer processing units. Propositional calculus as well as first-order predicate calculus of EPS based CFL systems are developed. The application to approximate reasoning is described.