The notion of preopen sets play a very important role in General Topology and Fuzzy Topology. Preopen sets are also called nearly open and locally dense. The purpose of this paper is to give some applications of fuzzy points in fuzzy topological spaces. Moreover, in section 2 we offer some properties of fuzzy preclosed sets through the contribution of fuzzy points and we introduce new separation axioms in fuzzy topological spaces. Also using the notions of weak and strong fuzzy points, we investigate some properties related to the preclosure of such points, and also their impact on separation axioms. In section 3, using the notion of fuzzy points, we introduce and study the notions of fuzzy pre-upper limit, fuzzy pre-lower limit and fuzzy pre-limit. Finally in section 4, we introduce the fuzzy pre-continuous convergence on the set of fuzzy pre-continuous functions and give a characterization of the fuzzy pre-continuous convergence through the assistance of fuzzy pre-upper limit.


    Zugriff

    Download


    Exportieren, teilen und zitieren



    Titel :

    On some applications of fuzzy points



    Erscheinungsdatum :

    2005-10-01


    Anmerkungen:

    doi:10.4995/agt.2005.1951
    Applied General Topology; Vol. 6, Núm. 2 (2005); 119-133 ; 1989-4147 ; 1576-9402



    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    Klassifikation :

    DDC:    629



    On some applications of fuzzy points

    Ganster, Maximilian / Georgiou, D. N. / Jafari, S. et al. | BASE | 2005

    Freier Zugriff

    On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points

    De la Sen Parte, Manuel / Roldan, Antonio F. / Agarwal, Ravi P. | BASE | 2015

    Freier Zugriff

    Some points in aeroplane design

    Barnwell, F.S. | Engineering Index Backfile | 1919


    Some points on steam cars

    Strickland, F. | Engineering Index Backfile | 1922


    Some points on railway stations

    Church, Wm. Lee | Engineering Index Backfile | 1892