On the continuity of fuzzy integral in relation with measure convergence

  • Arturo Flores F. Universidad de Tarapacá.
  • Heriberto Román F. Universidad de Tarapacá.
  • Rodney C. Bassanezi Universidad de Campinas.
Palabras clave: Funciones, Integrales

Resumen

The aim of this paper is to analyze the continuity of the fuzzy integral in relation to the measure convergence. More precisely, we introduce the concept of autocontinuity of a fuzzy measure with respect to another fuzzy measure and we establish necessary and sufficient conditions such that measure convergence of functions, with respect to a fuzzy measure, implies the convergence of the fuzzy integral with respect to another fuzzy measure.

Biografía del autor

Arturo Flores F., Universidad de Tarapacá.
Departamento de Matemática.Facultad de Ciencia.
Heriberto Román F., Universidad de Tarapacá.
Departamento de Matemática.Facultad de Ciencia.
Rodney C. Bassanezi, Universidad de Campinas.
IMECC.

Citas

[1] Greco. G., Bassanezi, R.C.: On the continuity of fuzzy integrals. Fuzzy Sets and Systems, 53 N° 1 (1993), 87-91.

[2] Greco, G.; Bassanezi, R.C.: Continuidade das fuzzy integrals. Ata. Sem. Bras. Anal. Rio de Janeiro. 1985.

[3] Ralescu, D.; Adams, G. The FUZZY INTEGRALS. J. Anal Math. Appl., 75 (1990), 562-570.

[4] Román-Flores, H.: Sobre entropías fuzzy. Ph.D.Dissertation, IMECC-UNICAMP, Campinas-SP, Brasil, 1989.

[5] Sugeno, M.: Fuzzy measures and fuzzy integrals: A survey, in: M.
Gupta et al., Eds. Fuzzy Automata and Decision Process. (North-Holland, Amsterdam, (1977), 89-102.

[6] Wang, Z.: The autocontinuity of set function and the fuzzy integral. J. Math. Anal. Appl., 99 (1984), 195-218.
Publicado
2018-04-03
Cómo citar
Flores F., A., Román F., H., & Bassanezi, R. (2018). On the continuity of fuzzy integral in relation with measure convergence. Proyecciones. Journal of Mathematics, 12(2), 137-147. https://doi.org/10.22199/S07160917.1993.0002.00004
Sección
Artículos