Article ID Journal Published Year Pages File Type
397808 International Journal of Approximate Reasoning 2008 14 Pages PDF
Abstract

This paper is devoted to the study of discrete implications that satisfy modus ponens (MP), modus tollens (MT) or both (MPT). The main goal is to characterize all R, S, QL and D-implications on a finite chain L, derived from smooth t-norms, satisfying these properties for a given smooth t-norm T1. The case when T1 is non-smooth is also discussed for a special family of t-norms.

Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence