• Title/Summary/Keyword: L-fuzzy topology

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L-FUZZIFYING TOPOLOGY

  • Song, Chun-Ling;Xie, Lin;Xia, Zun-Quan
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.323-331
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    • 2004
  • A new topology in terms of order on fuzzy sets, revealing better the relationship between smooth topology and Chang's fuzzy topology, is presented in the paper. Some basic properties are discussed.

FUZZY CONVERGENCE THEORY - I

  • MONDAL K. K.;SAMANTA S. K.
    • The Pure and Applied Mathematics
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    • v.12 no.1
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    • pp.75-91
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    • 2005
  • The main objective of this paper is to introduce the gradation of neigh-bourhoodness in L-fuzzy topology and to introduce the fuzziness in the concept of convergence of L-fuzzy nets.

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Some Fundamental Concepts in (2, L)-Fuzzy Topology Based on Complete Residuated Lattice-Valued Logic

  • Zeyada, Fathei M.;Zahran, A.M.;El-Baki, S.A.Abd;Mousa, A.K.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.10 no.3
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    • pp.230-241
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    • 2010
  • In the present paper we introduce and study fundamental concepts in the framework of L-fuzzifying topology(so called(2,L)-fuzzy topology)as L-concepts where L is a complete residuated lattice. The concepts of (2,L)-derived, (2,L)-closure, (2,L)-interior, (2,L)-exterior and (2,L)-boundary operators are studied and some results on above concepts are obtained. Also, the concepts of an L-convergence of nets and an L-convergence of filters are introduced and some important results are obtained. Furthermore, we introduce and study bases and subbases in (2,L)-topology. As applications of our work the corresponding results(see[10-11]) are generalized and new consequences are obtained.

L-FUZZY UNIFORM SPACES

  • Yue, Yue-Li;Shi, Fu-Gui
    • Journal of the Korean Mathematical Society
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    • v.44 no.6
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    • pp.1383-1396
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    • 2007
  • The aim of this paper is to study L-fuzzy uniformizable spaces. A new kind of topological fuzzy remote neighborhood system is defined and used for investigating the relationship between L-fuzzy co-topology and L-fuzzy (quasi-)uniformity. It is showed that this fuzzy remote neighborhood system is different from that in [23] when $\mathcal{U}$ is an L-fuzzy quasi-uniformity and they will be coincident when $\mathcal{U}$ is an L-fuzzy uniformity. It is also showed that each L-fuzzy co-topological space is L-fuzzy quasi-uniformizable.

C*-compactness in L-Fuzzy Topological Spaces

  • Saad, Ali Kandil;Tantawy, Osama A. E.;Yakout, Mohammed Mostafa;Saleh, Salem Ali M.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.9 no.4
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    • pp.261-268
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    • 2009
  • In this paper we introduce stronger form of the notion of cover so-called p-cover which is more appropriate. According to this cover we introduce and study another type of compactness in L-fuzzy topology so-called $C^*$-compact and study some of its properties with some interrelation.

L-FUZZY TOPOLOGICAL SPACES AND L-FUZZY QUASI-PROXIMITY SPACES

  • Kim, Eun-Seok;Ahn, Seung-Ho;Park, Dae-Heui
    • Honam Mathematical Journal
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    • v.33 no.1
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    • pp.27-41
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    • 2011
  • This paper studies the relationship between L-fuzzy proximities and L-fuzzy topologies by topological fuzzy remote neigh-borhood systems. We will prove that the category of L-fuzzy topo- logical spaces can be embedded in the category of L-fuzzy quasi-proximity spaces as a core ective full subcategory.

$\beta$-COMPACTNESS IN L-FUZZY TOPOLOGICAL SPACES

  • Cho, S.H;Kim, M.Y
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.359-370
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    • 2002
  • The purpose of this paper is to introduce and discuss the concept of $\beta$-compactness for L-fuzzy topological spaces.

L-fuzzy topologies on complete MV-algebras

  • Kim, Yong-chan;Ko, Jung-mi
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.7
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    • pp.649-652
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    • 2001
  • In this paper, we introduce neighborhood systems in an L-fuzzy topology using complete MV-algebras. We investigate the relationship between L-fuzzy topologies and the neighborhood systems. We study the properties of neighborhood system.

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

  • Lee, Yoon-Jin
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.219-224
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    • 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.

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