VAGUENESS AND UNCERTAINTY: A ROUGH SET PERSPECTIVE

Vagueness and Uncertainty: A Rough Set Perspective

Vagueness and uncertainty have attracted attention of philosophers and logicians for many years. Recently AI researchers contributed essentially to this area of research. Fuzzy set theory and the theory of evidence are seemingly the most appealing ones. In this note we present a new outlook on these problems, based on the rough set theory-which seems to be a very suitable mathematical tool to d...

Vagueness - a Rough Set View

Abs t rac t . Vagueness for a long time has been studied by philosophers, logicians and linguists. Recently researchers interested in AI contributed essentially to this area. In this paper we present a new approach to vagueness, called rough set theory. The starting of the theory theory is the assumption that fundamental mechanisms of human reasoning are based on the ability to classify object ...

Foundations of Rough Sets from Vagueness Perspective

Handling vagueness was one of the motivations for proposing the rough set theory (Pawlak, 2004, see also Pawlak, 1982, 1991, 2003). In this chapter, we present algebraic foundations of the rough set theory from that perspective. Vagueness is understood according to the tertium.non.datur principle from traditional logic; the contemporary version of this principle is called the law of excluded mi...

Data Mining - a Rough Set Perspective

Reasoning about Data - A Rough Set Perspective

[ Abstract.] The paper contains some considerations concerning the relationship between decision rules and inference rules from the rough set theory perspective. It is shown that decision rules can be interpreted as a generalization of the modus ponens inference rule, however there is an essential difference between these two concepts. Decision rules in the rough set approach are used to descri...