Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Neuro-fuzzy and soft computing: a computational approach to learning and machine intelligence
Neuro-fuzzy and soft computing: a computational approach to learning and machine intelligence
On a canonical representation of fuzzy numbers
Fuzzy Sets and Systems
Fuzzy Sets and Systems
L-fuzzy numbers and their properties
Information Sciences: an International Journal
Generalisation of roughness bounds in rough set operations
International Journal of Approximate Reasoning
Roughness bounds in rough set operations
Information Sciences: an International Journal
| Hi-index | 0.07 |
Applications of operators of α-contrast modification of fuzzy sets to fuzzy numbers are studied. It is shown that for a fuzzy number A and for α ∈ (0, 1) an α-upper bound and an α-lower bound of A can be created. Cardinality of the α-boundary region will be called α-flexibility of A . Relationship among α-bounds, strong α-bounds and "ultimate" α-bounds of A is discussed. When α-bounds are trapezoidal fuzzy numbers then α-flexibility of A can be used to assess α-roughness of approximation of A in the knowledge base consisting of trapezoidal fuzzy numbers.