• 제목/요약/키워드: ${\gamma}$-closed(open)

검색결과 17건 처리시간 0.022초

On a Class of γ*-pre-open Sets in Topological Spaces

  • Krishnan, G. Sai Sundara;Saravanakumar, D.;Ganster, M.;Ganster, M.
    • Kyungpook Mathematical Journal
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    • 제54권2호
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    • pp.173-188
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    • 2014
  • In this paper, a new class of open sets, namely ${\gamma}^*$-pre-open sets was introduced and its basic properties were studied. Moreover a new type of topology ${\tau}_{{\gamma}p^*}$ was generated using ${\gamma}^*$-pre-open sets and characterized the resultant topological space (X, ${\tau}_{{\gamma}p^*}$) as ${\gamma}^*$-pre-$T_{\frac{1}{2}}$ space.

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.

R-fuzzy F-closed Spaces

  • Zahran A. M.;Abd-Allah M. Azab;El-Rahman A. G. Abd
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제6권3호
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    • pp.255-263
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    • 2006
  • In this paper, we introduce the concepts of ${\gamma}$-fuzzy feebly open and ${\gamma}$-fuzzy feebly closed sets in Sostak's fuzzy topological spaces and by using them, we explain the notions of ${\gamma}$-fuzzy F-closed spaces. Also, we give some characterization of ${\gamma}$-fuzzy F-closedness in terms of fuzzy filterbasis and ${\gamma}$-fuzzy feebly-${\theta}$-cluster points.

REMARKS ON γ-OPERATIONS INDUCED BY A TOPOLOGY

  • Min, Won-Keun
    • 대한수학회논문집
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    • 제26권2호
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    • pp.291-296
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    • 2011
  • Cs$\'{a}$sz$\'{a}$r [3] introduced the notions of ${\gamma}$-compact and ${\gamma}$-operation on a topological space. In this paper, we introduce the notions of almost ${\Gamma}$-compact, (${\gamma},{\tau}$)-continuous function and (${\gamma},{\tau}$)-open function defined by ${\gamma}$-operation on a topological space and investigate some properties for such notions.

FUZZY PAIRWISE $\gamma$-IRRESOLUTE HOMEOMORPHISMS

  • Lee, Hyo-Sam;Lee, Joo-Sung;Im, Young-Bin
    • Journal of applied mathematics & informatics
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    • 제26권3_4호
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    • pp.757-766
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    • 2008
  • We define and characterize a fuzzy pairwise $\gamma$-irresolute open mapping (fuzzy pairwise $\gamma$-irresolute closed mapping) on a fuzzy bitopological space. We also characterize a fuzzy pairwise $\gamma$-irresolute homeomorphism on a fuzzy bitopological space.

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On gf. $\gamma$-closed sets and g*f. $\gamma$--closed sets

  • 박진한;박진근
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2001년도 춘계학술대회 학술발표 논문집
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    • pp.34-37
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    • 2001
  • Park et al. [Proc. KFIS Fall Conf. 10(2) (2000), 59-62] defined fuzzy ${\gamma}$-open sets by using an operation ${\gamma}$ on a fts (X, $\tau$) and investigated the related fuzzy topological properties of the associated fuzzy topology $\tau$/seb ${\gamma}$/ and $\tau$. As generalizations of the notion of fuzzy ${\gamma}$-closed sets, we define gf. ${\gamma}$-closed sets and g*f. ${\gamma}$-closed sets and study basic properties of these sets relative to union and intersection. Also, we introduce and study two classes of ftss called fuzzy ${\gamma}$-T* and fuzzy ${\gamma}$-T$_{1}$2/ spaces by using the notions of gf. ${\gamma}$-closed and g*f. ${\gamma}$-closed sets.

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SEVERAL KINDS OF INTUITIONISTIC FUZZY OPEN SETS AND INTUITIONISTIC FUZZY INTERIORS

  • Kim, Chang-Su;Kang, Jeong-Gi;Kim, Myoung-Jo;Ko, Mi-Young;Park, Mi-Ran
    • 호남수학학술지
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    • 제32권2호
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    • pp.307-331
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    • 2010
  • The notion of intuitionistic fuzzy semi-pre interior (semi-pre closure) is introduced, and several related properties are investigated. Characterizations of an intuitionistic fuzzy regular open set, an intuitionistic fuzzy semi-open set and an intuitionistic fuzzy ${\gamma}$-open set are provided. A method to make an intuitionistic fuzzy regular open set (resp. intuitionistic fuzzy regular closed set) is established. A relation between an intuitionistic fuzzy ${\gamma}$-open set and an intuitionistic fuzzy semi-preopen set is considered. A condition for an intuitionistic fuzzy set to be an intuitionistic fuzzy ${\gamma}$-open set is discussed.

Some Topologies Induced by b-open Sets

  • El-Monsef, M.E. Abd;El-Atik, A.A.;El-Sharkasy, M.M.
    • Kyungpook Mathematical Journal
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    • 제45권4호
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    • pp.539-547
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    • 2005
  • The class of b-open sets in the sense of $Andrijevi{\acute{c}}$ ([3]), was discussed by El-Atik ([9]) under the name of ${\gamma}-open$ sets. This class is closed under arbitrary union. The aim of this paper is to use ${\Lambda}-sets$ and ${\vee}-sets$ due to Maki ([15]) some topologies are constructed with the concept of b-open sets. $b-{\Lambda}-sets,\;b-{\vee}-sets$ are the basic concepts introduced and investigated. Moreover, several types of near continuous function based on $b-{\Lambda}-sets,\;b-{\vee}-sets$ are constructed and studied.

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위성발사체 상단의 고체로켓모터 유도를 위한 Gamma 유도 알고리듬 성능 분석 (Performance Analysis of the Gamma Guidance Algorithm for Solid Rocket Kick Motors of Upper Stages of Space Launch Vehicles)

  • 송은정;조상범;선병찬
    • 한국항공우주학회지
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    • 제50권10호
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    • pp.709-716
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    • 2022
  • 본 논문에서는 IUS (Inertial Upper Stage)에 사용된 Gamma 유도 방식을 상단이 고체모터로 구성된 위성발사체 유도를 위해 적용해 보았다. 알고리듬의 수렴성 및 고체모터의 속도 오차 보상을 위해 RCS(Reaction Control System)가 최상단 연소 종료 후 작동하는 것으로 두었다. 알고리듬 계산 과정 중 최종 궤도 투입 오차 예측을 위한 적분과정을 Keplerian 궤적으로 단순화함으로써 수치 적분과정이 없도록 알고리듬을 구성하였다. 유도 알고리듬 평가를 위해 비공칭 비행 조건에 대한 3-DOF 컴퓨터 시뮬레이션을 수행해 주어진 상단 유도 방식은 개루프 명령을 적용한 경우 대비 궤도 투입 오차를 줄일 수 있음을 보였다.