Logical Optimization of Rule-Based Models

In this chapter the algebraic relations between conventional Boolean logic, finite-valued logic and continuous-valued logic are discussed and a proper mathematical framework is defined. Within that framework we study how algorithms originally devised to cope with switching circuits can be used to process the natural language statements which define a fuzzy rule-based model, demonstrating that the human manipulations of alternatives with similar consequences and of exceptional cases can be partially but effectively automated.

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