Rough set theory proposes a new mathematical approach to imperfect. knowledge, i.e. to vagueness (or imprecision). In this approach, vagueness is expressed by a boundary region of a set.

- Introduction to the course
- Basic knowledge about different types of binary relations
- Equivalence classes and equivalence relations
- Knowledge and classification knowledge base
- Rough sets, approximations of the set
- Properties of approximations
- Approximations and membership relation
- Numerical characterization of imprecision
- Topological characterization of imprecision
- Approximation of classifications
- Rough equality and rough inclusion of sets
- Reduct and core of knowledge
- Relative reduct and relative core
- Reduction of categories
- Relative reduct and core of categories
- Dependencies in knowledge: Dependency of knowledge
- Partial dependency of knowledge
- Significance of attributes and discernibility matrix
- Applications of Rough sets in Algebra: roughness in Rings
- Generalizations of rough set: Rough sets with covers
- Rough sets based on similarity and tolerance relations

- Advances in Fuzzy Systems-Applications and Theory : Genetic Fuzzy Systemsby CordÃ³n, Oscar

Herrera, Francisco

Hoffmann, Frank

- A study of roughness in rings with the help of soft set byCall Number: 511.322Publication Date: 2015