Approximate reasoning, fuzzy reasoning and fuzzy decision-making processes are given in this chapter. Single-input single-rule, single-input multiple rules and multiple-input-multiple-rule base systems are studied and examples are given. The concept of fuzzy reasoning is studied and user-defined MATLAB^® files are used to support the operational behaviors of fuzzy decision-making.

Chapter Contents:

• 5.1 Introduction
• 5.2 Fuzzy implications
• 5.3 Approximate reasoning
• 5.4 Inference rules of approximate reasoning
• 5.4.1 Entailment rule of inference
• 5.4.2 Conjunction rule of inference
• 5.4.3 Disjunction rule of inference
• 5.4.4 Negation rule of inference
• 5.4.5 Projection rule of inference
• 5.4.6 Generalized modus ponens rule of inference
• 5.4.7 Compositional rule of inference
• 5.5 Fuzzy reasoning
• 5.5.1 Inference engine with single-input - single-rule
• 5.5.2 Inference engine with multiple-input - single-rule
• 5.5.3 Inference engine with multiple input multiple rule
• 5.6 Problems
• References

Inspec keywords: fuzzy set theory; fuzzy reasoning

Other keywords: fuzzy decision-making; operational behaviors; single-input single-rule; approximate reasoning; Matlab files; multiple-input-multiple-rule base systems; single-input multiple rules; fuzzy reasoning

Subjects: Knowledge engineering techniques; Combinatorial mathematics