Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Canonical representations of discrete fuzzy numbers
Fuzzy Sets and Systems
On the relationship between some extensions of fuzzy set theory
Fuzzy Sets and Systems - Theme: Basic notions
Information Sciences: an International Journal
Uncertainty measures for interval type-2 fuzzy sets
Information Sciences: an International Journal
Triangle algebras: A formal logic approach to interval-valued residuated lattices
Fuzzy Sets and Systems
Fuzzy Implications
Residuated Lattices: An Algebraic Glimpse at Substructural Logics, Volume 151
Residuated Lattices: An Algebraic Glimpse at Substructural Logics, Volume 151
Maximum and Minimum of Discrete Fuzzy Numbers
Proceedings of the 2007 conference on Artificial Intelligence Research and Development
Fuzzy Sets and Systems
Advances and challenges in interval-valued fuzzy logic
Fuzzy Sets and Systems
A constructive method for the definition of interval-valued fuzzy implication operators
Fuzzy Sets and Systems
On two types of discrete implications
International Journal of Approximate Reasoning
International Journal of Intelligent Systems
The n-dimensional fuzzy sets and Zadeh fuzzy sets based on the finite valued fuzzy sets
Computers & Mathematics with Applications
Extension of discrete t-norms and t-conorms to discrete fuzzy numbers
Fuzzy Sets and Systems
Distance and similarity measures for hesitant fuzzy sets
Information Sciences: an International Journal
Intuitionistic Fuzzy Sets: Theory and Applications
Intuitionistic Fuzzy Sets: Theory and Applications
Aggregation of subjective evaluations based on discrete fuzzy numbers
Fuzzy Sets and Systems
A class of fuzzy multisets with a fixed number of memberships
Information Sciences: an International Journal
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A 2-tuple fuzzy linguistic representation model for computing with words
IEEE Transactions on Fuzzy Systems
A Survey on Fuzzy Implication Functions
IEEE Transactions on Fuzzy Systems
A Fuzzy Linguistic Methodology to Deal With Unbalanced Linguistic Term Sets
IEEE Transactions on Fuzzy Systems
Aggregating fuzzy implications
Information Sciences: an International Journal
| Hi-index | 0.07 |
In this paper residual implications defined on the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers are studied. A specific construction of these implications is given and some examples are presented showing in particular that such a construction generalizes the case of interval-valued residual implications. The most usual properties for these operations are investigated leading to a residuated lattice structure on the set of discrete fuzzy numbers, that in general is not an MTL-algebra.