Comparison of fuzzy reasoning methods
Fuzzy Sets and Systems
Fuzzy relational equations with generalized connectives and their applications
Fuzzy Sets and Systems
Numerical and applicational aspects of fuzzy relational equations
Fuzzy Sets and Systems
On the fuzziness of solutions of -fuzzy relation equations on finite spaces
Fuzzy Sets and Systems
On the set of solutions of composite fuzzy relation equations
Fuzzy Sets and Systems
Resolution of fuzzy relation equations (I) based on boolean-type implications
Computers & Mathematics with Applications
On the characterizations of (S,N)-implications
Fuzzy Sets and Systems
An algorithm for solving fuzzy relation equations with max-T composition operator
Information Sciences: an International Journal
(S, N)- and R-implications: A state-of-the-art survey
Fuzzy Sets and Systems
System of fuzzy relation equations with inf-→ composition: Complete set of solutions
Fuzzy Sets and Systems
The logic of tied implications, part 1: Properties, applications and representation
Fuzzy Sets and Systems
On the unique solvability of fuzzy relational equations
Fuzzy Optimization and Decision Making
Decomposition and resolution of fuzzy relation equations (II) based on boolean-type implications
AI'05 Proceedings of the 18th Australian Joint conference on Advances in Artificial Intelligence
An efficient algorithm to computing max-min post-inverse fuzzy relation for abductive reasoning
SEMCCO'11 Proceedings of the Second international conference on Swarm, Evolutionary, and Memetic Computing - Volume Part I
Classification in a fuzzy environment
Pattern Recognition Letters
Complete solution sets of inf → interval-valued fuzzy relation equations
Information Sciences: an International Journal
Finitary solvability conditions for systems of fuzzy relation equations
Information Sciences: an International Journal
Resolution of a system of the max-product fuzzy relation equations using LºU-factorization
Information Sciences: an International Journal
R-implications and the exchange principle: The case of border continuous t-norms
Fuzzy Sets and Systems
| Hi-index | 0.21 |
T-and @a"T-compositions, i.e., composite operations of sup-T and inf-@a"T, and relationships among -, @a"T-operators and t-norm are considered. It is shown that, if a composite fuzzy relational equation by T-composition has solutions, then a greatest one exists, and that if a similar equation by @a"T-composition has solutions, a greatest or least one exists, and unlike in T-compositions, it may have no lower solutions even if it has a greatest. Furthermore, the equivalence of the - and @a"T-operator, and the equipollence between t-norms and @a"T-operators are also shown. These results may be applicable to fuzzy inference under compositional rules of inference.