• 제목/요약/키워드: fuzzy interior spaces

검색결과 15건 처리시간 0.026초

FUZZY INTERIOR SPACES

  • Ramadan, A.A.;Abdel-Sattar, M.A.;Kim, Yong-Chan
    • 대한수학회보
    • /
    • 제39권4호
    • /
    • pp.617-633
    • /
    • 2002
  • In this paper, we study some properties of fuzzy interior spaces. Also, we investigate the relations between fuzzy interior spaces and fuzzy topological spaces. In particular, we prove the existence of product fuzzy topological spaces and product fuzzy interior spaces. We investigate the relations between them.

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
    • /
    • 제11권3호
    • /
    • 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 NEARLY C-COMPACTNESS IN GENERALIZED FUZZY TOPOLOGY

  • Palanichetty, G.;Balasubramanian, G.
    • East Asian mathematical journal
    • /
    • 제23권2호
    • /
    • pp.213-227
    • /
    • 2007
  • In this paper the concept of fuzzy nearly C-compactness is introduced in Generalized fuzzy topological spaces. Several characterizations and some interesting properties of these spaces in Generalized fuzzy topological spaces are discussed. The properties of fuzzy almost continuous and fuzzy almost open functions in Generalized fuzzy topological spaces are also studied.

  • PDF

INTUITIONISTIC FUZZY θ-CLOSURE AND θ-INTERIOR

  • Lee, Seok-Jong;Eoum, Youn-Suk
    • 대한수학회논문집
    • /
    • 제25권2호
    • /
    • pp.273-282
    • /
    • 2010
  • The concept of intuitionistic fuzzy $\theta$-interior operator is introduced and discussed in intuitionistic fuzzy topological spaces. As applications of this concept, intuitionistic fuzzy strongly $\theta$-continuous, intuitionistic fuzzy $\theta$-continuous, and intuitionistic fuzzy weakly continuous functions are characterized in terms of intuitionistic fuzzy $\theta$-interior operator.

Delta Closure and Delta Interior in Intuitionistic Fuzzy Topological Spaces

  • Eom, Yeon Seok;Lee, Seok Jong
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제12권4호
    • /
    • pp.290-295
    • /
    • 2012
  • Due to importance of the concepts of ${\theta}$-closure and ${\delta}$-closure, it is natural to try for their extensions to fuzzy topological spaces. So, Ganguly and Saha introduced and investigated the concept of fuzzy ${\delta}$-closure by using the concept of quasi-coincidence in fuzzy topological spaces. In this paper, we will introduce the concept of ${\delta}$-closure in intuitionistic fuzzy topological spaces, which is a generalization of the ${\delta}$-closure by Ganguly and Saha.

Mated Fuzzy Topological Spaces

  • Lee, Eun-Pyo;Im, Young-Bin
    • 한국지능시스템학회논문지
    • /
    • 제11권2호
    • /
    • pp.161-165
    • /
    • 2001
  • We introduce the concept of mated fuzzy topological spaces and then investigate some of their properties.

  • PDF

WEAK* SMOOTH COMPACTNESS IN SMOOTH TOPOLOGICAL SPACES

  • Park, Chun-Kee;Min, Won Keun;Kim, Myeong Hwan
    • Korean Journal of Mathematics
    • /
    • 제11권2호
    • /
    • 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

Intuitionistic Interval-Valued Fuzzy Topological Spaces

  • Lim, Pyung-Ki;Kim, Sun-Ho;Hur, Kul
    • 한국지능시스템학회논문지
    • /
    • 제22권1호
    • /
    • pp.126-134
    • /
    • 2012
  • By using the concept of intuitionistic interval-valued fuzzy sets, we introduce the notion of intuitionistic interval-valued fuzzy topology. And we study some fundamental properties of intuitionistic interval-valued fuzzy topological spaces: First, we obtain analogues[see Theorem 3.11 and 3.12] of neighborhood systems in ordinary topological spaces. Second, we obtain the result[see Theorem 4.9] corresponding to "the 14-set Theorem" in ordinary topological spaces. Finally, we give the initial structure on intuitionistic interval-valued fuzzy topologies[see Theorem 5.9].

QUASI-SMOOTH α-STRUCTURE OF SMOOTH TOPOLOGICAL SPACES

  • Min, Won Keun;Park, Chun-Kee
    • Korean Journal of Mathematics
    • /
    • 제13권2호
    • /
    • pp.223-234
    • /
    • 2005
  • We introduce the concepts of weak smooth ${\alpha}$-closure and weak smooth ${\alpha}$-interior of a fuzzy set and obtain some of their structural properties. We also introduce the concepts of several types of quasi-smooth ${\alpha}$- compactness in terms of the concepts of weak smooth ${\alpha}$-closure and weak smooth ${\alpha}$-interior of a fuzzy set and investigate some of their properties.

  • PDF

WEAK QUASI-SMOOTH α-COMPACTNESS IN SMOOTH TOPOLOGICAL SPACES

  • Min, Won Keun;Park, Chun-Kee
    • Korean Journal of Mathematics
    • /
    • 제14권1호
    • /
    • pp.101-112
    • /
    • 2006
  • In this paper, we introduce the concepts of weak smooth ${\alpha}$-closure and weak smooth ${\alpha}$-interior of a fuzzy set and obtain some of their structural properties. We also introduce the concepts of several types of weak quasi-smooth ${\alpha}$-compactness in terms of the concepts of weak smooth ${\alpha}$-closure and weak smooth ${\alpha}$-interior of a fuzzy set and investigate some of their properties.

  • PDF