• 제목/요약/키워드: topological mapping

검색결과 88건 처리시간 0.027초

Fuzzy (r, s)-semi-preopen sets and fuzzy (r, s)-semi-procontinuous maps

  • Lee, Seok-Jeong;Kim, Jin-Tae
    • 한국지능시스템학회논문지
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    • 제17권4호
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    • pp.550-556
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    • 2007
  • In this paper, we introduce the concepts of fuzzy (r, s)-semi-preopen sets and fuzzy (r, s)-semi-precontinuous mappings on intuitionistic fuzzy topological spaces in ${\check{S}}ostak's$ sense. The relations among fuzzy (r, s)-semicontinuous, fuzzy (r, s)-precontinuous, and fuzzy (r, s)-semi-precontinuous mappings we discussed. The concepts of fuzzy (r, s)-semi-preinterior, fuzzy (r, s)-semi-preclosure, fuzzy (r, s)-semi-preneighborhood, and fuzzy (r, s)-quasi-semi-preneighborhood are given. Using these concepts, the characterization for the fuzzy (r, s)-semi-precontinuous mapping is obtained. Also, we introduce the notions of fuzzy (r, s)-semi-preopen and fuzzy (r, s)-semi-preclosed mappings on intuitionistic fuzzy topological spaces in ${\check{S}}ostak's$ sense, and then we investigate some of their characteristic properties.

On fuzzy FC-compactness

  • In, Byung-Sik
    • 대한수학회논문집
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    • 제13권1호
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    • pp.137-150
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    • 1998
  • The purpose of this paper is to introduce and study the concept of fuzzy FC-compactness for fuzzy topological spaces.

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COINCIDENCE POINTS IN $T_1$ TOPOLOGICAL SPACES

  • Liu, Zeqing;Kang, Shin-Min;Kim, Yong-Soo
    • East Asian mathematical journal
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    • 제18권1호
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    • pp.147-154
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    • 2002
  • In this paper, we prove a few coincidence point theorems for two pairs of mappings in $T_1$ topological spaces. Our results extend, improve and unify the corresponding results in [1]-[3].

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Improved Exploration Algorithm Using Reliability Index of Thinning Based Topological Nodes

  • Kwon, Tae-Bum;Song, Jae-Bok;Lee, Soo-Yong
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.250-255
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    • 2005
  • For navigation of a service robot, mapping and localization are very important. To estimate the robot pose, the map of the environment is required and it can be built by exploration or SLAM. Exploration is the fundamental task of guiding a robot autonomously during mapping such that it covers the entire environment with its sensors. In this paper, an efficient exploration scheme based on the position probability of the end nodes of a topological map is proposed. In this scheme, a topological map is constructed in real time using the thinning-based approach. The robot then updates the position probability of each end node maintaining its position at the current location based on the Bayesian update rule using the range data. From this probability, the robot can determine whether or not it needs to visit the specific end node to examine the environment around this node. Various experiments show that the proposed exploration scheme can perform exploration more efficiently than other schemes in that, in most cases, exploration for the entire environment can be completed without directly visiting everywhere in the environment.

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Fuzzy γ-Quasi Open Set and Fuzzy γ-Quasi Continuity

  • Min, Won-Keun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제10권3호
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    • pp.200-202
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    • 2010
  • In this paper, we introduce the concept of fuzzy ${\gamma}$-quasi open sets which are generalizations of fuzzy ${\gamma}$-open sets, and obtain some basic properties of such fuzzy sets. Also we introduce and study the concepts of fuzzy ${\gamma}$-quasi continuous mapping and fuzzy ${\gamma}$-quasi open(closed) mapping.