Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
394526 | Information Sciences | 2013 | 16 Pages |
Abstract
Given an indistinguishability operator E , it is possible to obtain the set of extensional fuzzy subsets HEHE and the respective operators of upper and lower approximations by extensional sets ϕEϕE and ψEψE. 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.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Gabriel Mattioli, Jordi Recasens,