A Qualitative Approach to Direct Inference Principle

Abstract

In this paper,we study the suitability of a symbolic model of syllogistic reasoning and direct inference principle with the representation and the management of knowledge based on statistical information and evaluated in a qualitative way.Our ap-proach is founded mainly on a symbolic finite M-valued logic,in which the graduation scale of M symbolic quantifiers is translated in terms of truth degrees.We propose an intuitive presentation of some basic notions of this model.We use its main properties to solve some classical problems expressed in the natural language.We show that the obtained deductions are in a good accordance with those resulting from common sense reasoning.