• Title/Summary/Keyword: Fuzzy topological spaces

Search Result 154, Processing Time 0.02 seconds

Final Smooth Fuzzy Topologies

  • Kim, Young-Sun
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.10 no.2
    • /
    • pp.107-112
    • /
    • 2000
  • We will prove the existence of final smooth fuzzy topological spaces and final smooth fuzzy closure spaces. From this fact we can define quotient spaces of their spaces.

  • PDF

Properties of fuzzy (r, s)-semi-irresolute Mappings in Intuitionistic Fuzzy Topological Spaces

  • Lee, Seok-Jong;Kim, Jin-Tae
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • v.11 no.3
    • /
    • pp.190-196
    • /
    • 2011
  • In this paper, we introduce the concept of fuzzy (r, s)-semi-irresolute mappings on intuitionistic fuzzy topological spaces in Sostak's sense, which is a generalization of the concept of fuzzy semi-irresolute mappings introduced by S. Malakar. The characterizations for the fuzzy (r, s)-semi-irresolute mappings are obtained by terms of semi-interior, semi-${\theta}$-interior, semi-clopen, and regular semi-open.

Fuzzy Generalized Topological Spaces (퍼지 일반위상 공간에 관한 연구)

  • Min, Won-Keun
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.19 no.3
    • /
    • pp.404-407
    • /
    • 2009
  • In this paper, we introduce the concept of fuzzy generalized topologies which are generalizations of smooth topologies and Chang's fuzzy topologies and obtain some basic properties of their structure. Also we introduce and study the concepts of fuzzy generalized continuity and weakly fuzzy generalized continuity.

WEAK* SMOOTH COMPACTNESS IN SMOOTH TOPOLOGICAL SPACES

  • Park, Chun-Kee;Min, Won Keun;Kim, Myeong Hwan
    • Korean Journal of Mathematics
    • /
    • v.11 no.2
    • /
    • pp.127-136
    • /
    • 2003
  • In this paper we obtain some properties of the weak smooth ${\alpha}$-closure and weak smooth ${\alpha}$-interior of a fuzzy set in smooth topological spaces and introduce the concepts of several types of $weak^*$ smooth compactness in smooth topological spaces and investigate some of their properties.

  • PDF

${\gamma}$-FUZZY FILTER AND LIMIT STRUCTURE

  • Lee, Yoon-Jin
    • Proceedings of the Korean Institute of Intelligent Systems Conference
    • /
    • 1998.06a
    • /
    • pp.219-224
    • /
    • 1998
  • We introduce the notion of ${\gamma}$-fuzzy filter and ${\gamma}$-limit structure to L-fuzzy point. We show that the category ${\gamma}$Lim of ${\gamma}$-limit spaces is a cartesian closed topological construct containing the category LFTop of stratified L-fuzzy topological spaces as a bireflective subcategory.

  • PDF

On the goodness of some types of fuzzy paracompactness in Sostak's fuzzy topology

  • Kim, Yong-Chan;Abbas, S.E.
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • v.5 no.1
    • /
    • pp.64-68
    • /
    • 2005
  • We introduce in Sostak's fuzzy topological spaces definitions of paracompactness, almost paracompactness, and near paracompactness all of which turn to be good extensions of their classical topological counterparts. Fuzzy semi-paracompact, para S-closed and weakly paracompact spaces are treated to a similar approach.