Quotients with respect to similarity relations
Fuzzy Sets and Systems - Mathematics and Fuzziness, Part 1
Fuzzy partitions with the connectives T∞,S∞
Fuzzy Sets and Systems
Equality relations as a basis for fuzzy control
Fuzzy Sets and Systems
Fuzzy sets and vague environments
Fuzzy Sets and Systems - Special issue on diagnostics and control through neural interpretations of fuzzy sets
Constructing a fuzzy controller from data
Fuzzy Sets and Systems - Special issue on methods for data analysis in classificatin and control
On the redundancy of fuzzy partitions
Fuzzy Sets and Systems - Special issue on methods for data analysis in classificatin and control
Fuzzy Sets and Systems
Fuzzy points, fuzzy relations and fuzzy functions
Discovering the world with fuzzy logic
Fuzzy Clustering Models and Applications
Fuzzy Clustering Models and Applications
Foundations of Fuzzy Systems
Fundamentals of M-vague algebra and M-vague arithmetic operations
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Representations of the extensions of many-valued equivalence relations
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Fuzzy equivalence relations and their equivalence classes
Fuzzy Sets and Systems
On Representing and Generating Kernels by Fuzzy Equivalence Relations
The Journal of Machine Learning Research
Relations in Fuzzy Class Theory
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Uniform fuzzy relations and fuzzy functions
Fuzzy Sets and Systems
Fuzzy homomorphisms of algebras
Fuzzy Sets and Systems
| Hi-index | 0.00 |
For a fixed integral commutative cl-monoid M = (L, ≤, *), introducing the notions of M-partitions and M-equivalence relations as the extensions of T-partitions and T- equivalence relations to the integral commutative cl-monoid M = (L, ≤, *), respectively, it is shown that the previous approaches on T-partitions and T-equivalence relations can be unified, and most of the results in these works can be easily stated based on the integral commutative cl-monoid M = (L, ≤, *). Modifying the notion of T-redundancy of finite family of fuzzy sets of a nonempty ordinary set X, it is extended to arbitrary family of L-fuzzy sets on the basis of the integral commutative cl-monoid M, and is shown that the proposed definition has more desirable properties than the previous one. Furthermore, handling the works of Höhle, Klawonn, Gebhardt and Kruse on fuzzy partitions and fuzzy equivalence relations, some of their results are improved, and several new results in this direction are pointed out.