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II Congreso Iberoamericano de Topología y sus Aplicaciones
March 20-22, 1997

Morelía, Mexico

Organizers
Salvador García-Ferreira, Daniel Juan Pineda, Sergio Macías Alvarez, Max Neumann Coto, María L. Pérez Seguí, Salvador Romaguera Bonilla, Manuel Sanchis López, Angel Tamariz Mascarúa, M. G. Tkachenko, Javier F. Trigos Arrieta

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On gradation of openness in fuzzy topological spaces
by
Valentín Gregori
Universidad Politécnica de Valencia

Fuzzy topological spaces were defined in 1968 by C. Chang based on the fundamental concept of a fuzzy set introduced by L. Zadeh. For a nonempty set X, A. P. Shostak began the study of fuzzy structures of topological type by means of a function F that gives to each fuzzy set of X a value on the interval [0, 1], and which satisfies certain properties. The real number F(B) is the degree of openness of the fuzzy set B. A few years later other authors rediscovered this concept and called gradation of openness of the mapping F. In this talk we give some properties of the gradation of openness.

Date received: March 7, 1997

Copyright © 1997 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caal-04.