• Title/Summary/Keyword: (fuzzy) closure systems

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Some Fuzzy Closed Sets and Fuzzy Approximately Continuous Mappings

  • Ahn, Y.S.;Hur, K.;Ryou, J.H.
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.2
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    • pp.184-189
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    • 2001
  • First, we find the characterization of fg-closure of a fuzzy set. Second, we study some properties of frg-closeds and fg-continuous mappings. Finaly, we introduce the concept of a fuzzy approximately continuous mapping and study its properties.

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PAIRWISE FUZZY S-CLOSED BITOPOLOGICAL SPACES

  • Park, Jin-Han;Lee, Bu-Young;Son, Mi-Jung
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1996.10a
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    • pp.77-80
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    • 1996
  • In this paper, we generalize the concept of fuzzy S-closed spaces due to Mukherjee and Ghosh [8] into fuzzy bitopological setting and investigate some of its properties using the concepts of (${\tau}_i$, ${\tau}_j$)-semi-closure and related notions in fuzzy setting.

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Intelligent Drowsiness Drive Warning System (지능형 졸음 운전 경고 시스템)

  • Joo, Young-Hoon;Kim, Jin-Kyu;Ra, In-Ho
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.2
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    • pp.223-229
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    • 2008
  • In this paper. we propose the real-time vision system which judges drowsiness driving based on levels of drivers' fatigue. The proposed system is to prevent traffic accidents by warning the drowsiness and carelessness using face-image analysis and fuzzy logic algorithm. We find the face position and eye areas by using fuzzy skin filter and virtual face model in order to develop the real-time face detection algorithm, and we measure the eye blinking frequency and eye closure duration by using their informations. And then we propose the method for estimating the levels of drivel's fatigue based on measured data by using the fuzzy logic and for deciding whether drowsiness driving is or not. Finally, we show the effectiveness and feasibility of the proposed method through some experiments.

Intuitionistic Interval-Valued Fuzzy Topological Spaces

  • Lim, Pyung-Ki;Kim, Sun-Ho;Hur, Kul
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.1
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    • pp.126-134
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    • 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].

Double Fuzzy Preproximity Spaces

  • Zahran, Ahmed M.;Abd-Allah, M. Azab;El-Saady, Kamal;El-Rahman, Abd El-Nasser G. Abd
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.7 no.4
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    • pp.249-255
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    • 2007
  • In this paper, we introduce the concept of double fuzzy preproximity spaces as a generalization of a fuzzy preproximity spaces and investigate some of their properties. Also we study the relationships between double fuzzy preproximity spaces, double fuzzy topological spaces and double fuzzy closure spaces. In addition to this was the introduction of the concept of double fuzzy neighborhood system and has been studying the connection with double fuzzy preproximity, which resulted in the definition of the concept double fuzzy preproximal neighborhood.

Closure, Interior and Compactness in Ordinary Smooth Topological Spaces

  • Lee, Jeong Gon;Hur, Kul;Lim, Pyung Ki
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.14 no.3
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    • pp.231-239
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    • 2014
  • It presents the concepts of ordinary smooth interior and ordinary smooth closure of an ordinary subset and their structural properties. It also introduces the notion of ordinary smooth (open) preserving mapping and addresses some their properties. In addition, it develops the notions of ordinary smooth compactness, ordinary smooth almost compactness, and ordinary near compactness and discusses them in the general framework of ordinary smooth topological spaces.

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.

Effectual Fuzzy Query Evaluation Method based on Fuzzy Linguistic Matrix in Information Retrieval (정보검색에서 퍼지 언어 매트릭스에 근거한 효율적인 퍼지 질의 평가 방법)

  • 최명복;김민구
    • Journal of the Korean Institute of Intelligent Systems
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    • v.10 no.3
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    • pp.218-227
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    • 2000
  • In this paper, we present a new fuzzy information retrieval method based on thesaurus. In the proposed method th thesaurus is represented by a fuzzy linguistic matrix, where the elements in fuzzy linguistic matrix represent a qualitative linguistic values between terms. In the fuzzy linguistic matrix, there are three kinds of fuzzy relationships between terms, i.e., similar relation, hierarchical relation, and associative relation. The implicit fuzzy relationships between terms are inferred by the transitive closure of the fuzzy linguistic matrix based on fuzzy theory. And the proposed method has the capability to deal with a qualitative linguistic weights in a query and in indexing of information items to reflect qualitative measure of human based on vague and uncertain decisions rather than a quantitiative measure. Therefore the proposed method is more flexible than the ones presented in papers[1-3]. Moreover our method is more effectual of time than the ones presented in papers[1-3] because we use a fuzzy linguistic matrix and AON (Associate Ordinary Number) values in query evaluation process. As a result, the proposed method allows the users to perform fuzzy queries in a more flexible and more intelligent manner.

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