An Ontological and Epistemological Perspective of Fuzzy Set Theory

Chapter 14

APPROXIMATE REASONING^*

In this chapter, we discuss approximate reasoning schemas for {D_{0,1} V_{0,1}} model in detail. The schemas that are applicable to {D_{0,1} V_{0,1}} are directly applicable to {{D_{0,1}, D_{0,1}}, V_{0,1}}, V′_{0,1}} for short, when system description D_{0,1} is replaced by truthood description V_{0,1} no matter how the base system description is stated, i.e., D_{0,1} or D_{0,1} before the fuzzy truthoods are assigned to them.

Approximate reasoning schemas are generalization of classical schemas. For example, one of the most often applied approximate reasoning schema is known as Generalized Modus Ponens, GMP which was proposed by Zadeh as Compositional Rule of Inference, CRI. GMP is infact a generalization of the classical ...