## What is the difference between fuzzy set and rough set?

The distinction between a rough set and a fuzzy set is that the rough set makes it possible to approximate the original crisp set by reducing it to the upper and the upper approximation. A fuzzy set, on the other hand, is a set the boundaries of which are not sharp (i.e. they are “fuzzy”).

**What is fuzzy rough set theory?**

Abstract. Fuzzy sets and rough sets address two important, and mutually orthogonal, char- acteristics of imperfect data and knowledge: while the former allow that objects belong to a set or relation to a given degree, the latter provide approximations of concepts in the presence of incomplete information.

**How do you define the optimum reduct?**

If the classification measurements are better and the number of elements in the reduct is small, we can deem it a optimum reduct. Meanwhile, the so-called optimum reduct is also depended on the task you want to perform.

### What is fuzzy logic in data mining?

Fuzzy logic is an approach to variable processing that allows for multiple possible truth values to be processed through the same variable. Fuzzy logic attempts to solve problems with an open, imprecise spectrum of data and heuristics that makes it possible to obtain an array of accurate conclusions.

**What is fuzzy set approach in data mining?**

Fuzzy Set Theory is also called Possibility Theory. This theory was proposed by Lotfi Zadeh in 1965 as an alternative the two-value logic and probability theory. This theory allows us to work at a high level of abstraction. It also provides us the means for dealing with imprecise measurement of data.

**What is the difference between Boolean logic and fuzzy logic?**

The distinction between fuzzy logic and Boolean logic is that fuzzy logic is based on possibility theory, while Boolean logic is based on probability theory. In this way, fuzzy logic is a measure of a soil’s similarity to a class, rather than its chance of belonging to it (Zhu, 2006).

#### What is fuzzy set in soft computing?

Fuzzy sets can be considered as an extension and gross oversimplification of classical sets. It can be best understood in the context of set membership. Basically it allows partial membership which means that it contain elements that have varying degrees of membership in the set.