| dc.contributor | RamIrez Lara, Guillermo | |
| dc.creator | Alayo Yupanqui, Marco Antonio | |
| dc.date | 2017-08-04T15:57:02Z | |
| dc.date | 2017-08-04T15:57:02Z | |
| dc.date | 2013 | |
| dc.date.accessioned | 2018-04-27T14:24:04Z | |
| dc.date.available | 2018-04-27T14:24:04Z | |
| dc.identifier | http://dspace.unitru.edu.pe/handle/UNITRU/8336 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1429307 | |
| dc.description | The continuity of a function de ned between classical topological spaces is a fundamental
and very important for the development of mathematics and its applications
topological concept. However, due to the complexity of the real world and the imprecision
contained in many phenomena of nature these are described or better
explained by fuzzy sets , which were introduced by the engineer L. Zadeh (1965) [7].
The concept of fuzzy set generalizes the classical notion of set . A fuzzy set A in
a universe X is associated with a function A : X ! [0; 1] that assigns to each
element x of X a real number A(x) in [0; 1] called \ degree of membership " of the
element x to the set A. A higher degree of membership re
ects a sense of belonging
to \ more " strong set A.
This work is based on the theory of fuzzy topological spaces introduced in 1968 by
Chang [1] and is oriented to extend to the fuzzy context the concept of continuity
and also a well-known theorem of general topology preserving compactness | |
| dc.description | La continuidad de una funci on de nida entre espacios topol ogicos cl asicos es un
concepto topol ogico fundamental y de gran importancia para el desarrollo de las
matem aticas y de sus aplicaciones. Sin embargo, debido a la complejidad del mundo
real y de la imprecisi on contenida en muchos fen omenos de la naturaleza estos se describen
o explican mejor mediante los conjuntos difusos, los que fueron introducidos
por el ingeniero L. Zadeh (1965) [7].
El concepto de conjunto difuso generaliza el concepto de conjunto cl asico. Un conjunto
difuso A en un universo X est a asociado a una funci on A : X ! [0; 1] que
asigna a cada elemento x de X un n umero real A(x) en [0; 1] llamado \grado de
pertenencia" del elemento x al conjunto A. Un mayor grado de pertenencia re
eja
un sentido de pertenencia \m as" fuerte al conjunto A.
Este trabajo se basa en la teor a de los espacios topol ogicos difusos introducidos en
1968 por Chang [1] y est a orientado a extender al contexto difuso el concepto de
continuidad y tambi en un conocido teorema de la topolog a general que preserva la
compacidad | |
| dc.description | Tesis | |
| dc.language | spa | |
| dc.publisher | Universidad Nacional de Trujillo | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/2.5/pe/ | |
| dc.source | Universidad Nacional de Trujillo | |
| dc.source | Repositorio institucional - UNITRU | |
| dc.subject | Espacios topológicos | |
| dc.title | La continuidad entre espacios topológicos difusos | |
| dc.type | Tesis | |
