Axiomatics for fuzzy rough sets
Fuzzy Sets and Systems
Fuzzy Relational Systems: Foundations and Principles
Fuzzy Relational Systems: Foundations and Principles
On the Minimum Many-Valued Modal Logic over a Finite Residuated Lattice
Journal of Logic and Computation
Transitivity of fuzzy relations under discretization
Information Sciences: an International Journal
| Hi-index | 0.07 |
Given an indistinguishability operator E, it is possible to obtain the set of extensional fuzzy subsets H"E and the respective operators of upper and lower approximations by extensional sets @f"E and @j"E. Reciprocally, given any of these objects, the initial indistinguishability operator E can be retrieved. It is well known that these concepts are in bijection. In this paper, we will prove that the relation underlying them is a lattice isomorphism. We will also consider further operators such as natural means and finally show the robustness of the results with respect to isomorphisms of t-norms.