• 제목/요약/키워드: fuzzy relation

검색결과 371건 처리시간 0.028초

ON (α, β)-FUZZY SUBALGEBRAS OF BCK/ BCI-ALGEBRAS

  • Jun, Young-Bae
    • 대한수학회보
    • /
    • 제42권4호
    • /
    • pp.703-711
    • /
    • 2005
  • Using the belongs to relation ($\in$) and quasi-coincidence with relation (q) between fuzzy points and fuzzy sets, the concept of (${\alpha},\;{\beta}$)-fuzzy subalgebras where ${\alpha},\;{\beta}$ are any two of $\{\in,\;q,\;{\in}\;{\vee}\;q,\;{\in}\;{\wedge}\;q\}$ with $\;{\alpha}\;{\neq}\;{\in}\;{\wedge}\;q$ is introduced, and related properties are investigated.

퍼지종속관계를 이용한 다기준평가문제의 가중치 책정방법 (Weighted value method for multicriteria decision-making using fuzzy dependence relations)

  • 정택수;정규련
    • 한국경영과학회:학술대회논문집
    • /
    • 대한산업공학회/한국경영과학회 1994년도 춘계공동학술대회논문집; 창원대학교; 08월 09일 Apr. 1994
    • /
    • pp.742-748
    • /
    • 1994
  • Scientific involvement in complex decision-making systems, characterized by multicriteria phenomena and fuzziness inherent in the structure of information, requires suitable methods. Especially, when powerful dependent criteria are introduced, the systems are become more complex. This paper presents a fuzzy dependence relation model for this kind of multicriteria decision-making. The model we propose is based on fuzzy relation in fuzzy system theory. For the application of the model a numerical example is quoted.

Common Fixed Point and Example for Type(β) Compatible Mappings with Implicit Relation in an Intuitionistic Fuzzy Metric Space

  • Park, Jong Seo
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제14권1호
    • /
    • pp.66-72
    • /
    • 2014
  • In this paper, we establish common fixed point theorem for type(${\beta}$) compatible four mappings with implicit relations defined on an intuitionistic fuzzy metric space. Also, we present the example of common fixed point satisfying the conditions of main theorem in an intuitionistic fuzzy metric space.

Fuzzy algebraic structures of $L$-fuzzy ideals of $L$-fuzzy ring

  • Lee, Hyo-Sam
    • 한국수학사학회지
    • /
    • 제12권2호
    • /
    • pp.151-158
    • /
    • 1999
  • In this paper, the concepts of semiprime $L$-fuzzy ideals and semiprimary $L$-fuzzy ideals of a $L$-fuzzy ring are introduced and some fundamental propositions proved. And we investigate the relation between fuzzy nil radical and semiprimary.

  • PDF

FUZZY DIRECT PRODUCT IN FUZZY SPACES

  • Al-Ghamdi, M.
    • East Asian mathematical journal
    • /
    • 제18권1호
    • /
    • pp.59-73
    • /
    • 2002
  • Using the concept of fuzzy spaces, which was introduced by Dib. The fuzzy external and internal product of fuzzy subgroups are defined. Further it is obtained the relation between the introduced concept and the direct product of fuzzy subgroups on fuzzy subsets.

  • PDF

진화론적 정보 입자에 기반한 퍼지 관계 기반 퍼지 추론 시스템의 최적 설계 (Optimal Design of Fuzzy Relation-based Fuzzy Inference Systems Based on Evolutionary Information Granulation)

  • 박건준;김현기;오성권
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2004년도 학술대회 논문집 정보 및 제어부문
    • /
    • pp.340-342
    • /
    • 2004
  • In this paper, we introduce a new category of fuzzy inference systems baled on information granulation to carry out the model identification of complex and nonlinear systems. Informal speaking, information granules are viewed as linked collections of objects(data, in particular) drawn together by the criteria of proximity, similarity, or functionality. Granulation of information with the aid of Hard C-Means(HCM) clustering algorithm help determine the initial parameters of fuzzy model such as the initial apexes of the membership functions and the initial values of polyminial functions being used in the premise and consequence part of the fuzzy rules. And the initial parameters are tuned effectively with the aid of the genetic algorithms(GAs) and the least square method. The proposed model is contrasted with the performance of the conventional fuzzy models in the literature.

  • PDF

Fuzzy Subalgebras of Type (α, β) in BCK/BCI-Algebras

  • Jun, Young Bae
    • Kyungpook Mathematical Journal
    • /
    • 제47권3호
    • /
    • pp.403-410
    • /
    • 2007
  • Using the belongs to relation (${\in}$) and quasi-coincidence with relation (q) between fuzzy points and fuzzy sets, the concept of (${\alpha}$, ${\beta}$)-fuzzy subalgebras where ${\alpha}$ and ${\beta}$ areany two of {${\in}$, q, ${\in}{\vee}q$, ${\in}{\wedge}q$} with ${\alpha}{\neq}{\in}{\wedge}q$ was already introduced, and related properties were investigated (see [3]). In this paper, we give a condition for an (${\in}$, ${\in}{\vee}q$)-fuzzy subalgebra to be an (${\in}$, ${\in}$)-fuzzy subalgebra. We provide characterizations of an (${\in}$, ${\in}{\vee}q$)-fuzzy subalgebra. We show that a proper (${\in}$, ${\in}$)-fuzzy subalgebra $\mathfrak{A}$ of X with additional conditions can be expressed as the union of two proper non-equivalent (${\in}$, ${\in}$)-fuzzy subalgebras of X. We also prove that if $\mathfrak{A}$ is a proper (${\in}$, ${\in}{\vee}q$)-fuzzy subalgebra of a CK/BCI-algebra X such that #($\mathfrak{A}(x){\mid}\mathfrak{A}(x)$ < 0.5} ${\geq}2$, then there exist two prope non-equivalent (${\in}$, ${\in}{\vee}q$)-fuzzy subalgebras of X such that $\mathfrak{A}$ can be expressed as the union of them.

  • PDF

2단계 유사관계 행렬을 기반으로 한 순위 재조정 검색 모델 (A Re-Ranking Retrieval Model based on Two-Level Similarity Relation Matrices)

  • 이기영;은희주;김용성
    • 한국정보과학회논문지:소프트웨어및응용
    • /
    • 제31권11호
    • /
    • pp.1519-1533
    • /
    • 2004
  • 웹 기반의 학술분야 전문 검색 시스템은 사용자의 정보 요구 표현을 극히 제한적으로 허용함으로써 검색된 정보의 내용 분석과 정보 습득의 과정이 일관되지 못해 무분별한 정보 제공이 이루어진다. 본 논문에서는 용어의 상대적인 중요 정도를 축소용어 집합으로 구성하여 검색 시스템의 높은 시간 복잡도를 해결할 수 있도록 퍼지 검색 모델을 적용하였다. 또한 퍼지 호환관계의 특성을 만족하는 유사관계 행렬을 통해 사용자 질의를 정확하게 반영할 수 있도록 클러스터 검색을 수행하였다. 본 논문에서 제안한 퍼지 검색과 문서 클러스터 검색의 유사도 결합을 통한 순위 재조정 검색 모델은 검색 성능을 표현하는 정확률과 재현율 척도에서 향상됨을 입증하였다.