Gradual and fuzzy subsets
Logic
2021-02-08 v2 Category Theory
Group Theory
Abstract
In fuzzy theory of sets and groups, the use of --levels is a standard to translate problems from the fuzzy to the crisp framework. Using strong --levels, it is possible to establish a one to one correspondence which makes possible doubly, a gradual and a functorial treatment of the fuzzy theory. The main result of this paper is to identify the class of fuzzy sets, respectively fuzzy groups, with subcategories of the functorial categories , resp. .
Cite
@article{arxiv.1812.07521,
title = {Gradual and fuzzy subsets},
author = {Josefa M. Garcia and Pascual Jara},
journal= {arXiv preprint arXiv:1812.07521},
year = {2021}
}
Comments
32 pages