Affiliation:
1. Department of Applied Mathematics, University of Granada, E-18071 Granada, Spain
2. Department of Algebra and IMAG (Instituto de Matemáticas), University of Granada, E-18071 Granada, Spain
Abstract
In the fuzzy theory of sets and groups, the use of α-levels is a standard to translate problems from the fuzzy to the crisp framework. Using strong α-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 Set (0, 1], resp., Gr (0, 1]. In this line, the algebraic potential of this theory will be reached, in forthcoming papers.
Funder
FQM-266-Anillos y Módulos
Subject
Computational Mathematics,Control and Optimization,Control and Systems Engineering
Cited by
1 articles.
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