• 제목/요약/키워드: Fuzzy Sets and Systems

검색결과 402건 처리시간 0.021초

A Note on Distances between Interval-Valued Intuitionistic Fuzzy Sets

  • Jang, Lee-Chae;Kim, Won-Joo;Kim, T.
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제11권1호
    • /
    • pp.8-11
    • /
    • 2011
  • Atanassov [1,2] and Szmidt and Kacprzyk[7,8] studied various methods for measuring distances between intuitionistic fuzzy sets. In this paper, we consider interval-valued intuitionistic fuzzy sets and discuss these methods for measuring distances between interval-valued intuitionistic fuzzy sets.

Fuzzy (r, s)-preopen sets

  • Lee, Seung-On;Lee, Eun-Pyo
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제5권2호
    • /
    • pp.136-139
    • /
    • 2005
  • In this paper, we introduce the concepts of fuzzy (r,s)-preopen sets and fuzzy (r,s)-precontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense and then we investigate some of their characteristic properties.

γ-Connectedness in fuzzy topological spaces

  • Hanafy, I.M.
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제3권2호
    • /
    • pp.258-261
    • /
    • 2003
  • The aim of this paper is to introduce the concept $\gamma$-connectedness in fuzzy topological spaces. We also investigate some interre lations between this types of fuzzy connectedness together with the preservation properties under some types of fuzzy continuity. A comparison between some types of connectedness in fuzzy topological spaces is of interest.

Interval-Valued Fuzzy Soft sets 관한 연구 (A Note on Interval-Valued Fuzzy Soft Sets)

  • 민원근
    • 한국지능시스템학회논문지
    • /
    • 제18권3호
    • /
    • pp.412-415
    • /
    • 2008
  • 본 논문은 부정확한 null interval-valued fuzzy soft sets 와 absolute interval-valued fuzzy soft sets 개념의 오류를 지적하였으며 interval-valued fuzzy soft sets를 위해 새롭게 정의된 개념을 소개하며 이를 이용한 기본적인 성질을 조사한다.

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

  • Min, Won-Keun
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제10권3호
    • /
    • pp.200-202
    • /
    • 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.

On fuzzy pairwise $\beta$-continuous mappings

  • Im, Young-Bin;Park, Kuo-Duok
    • 한국지능시스템학회:학술대회논문집
    • /
    • 한국퍼지및지능시스템학회 1995년도 추계학술대회 학술발표 논문집
    • /
    • pp.378-383
    • /
    • 1995
  • Kandil[5] introduced and studied the notion of fuzzy bitopological spaces as a natural generalization of fuzzy topological In [10], Sampath Kumar introduced and studied the concepts of ( i, j)-fuzzy semiopen sets, fuzzy pairwise semicontinuous mappings in the fuzzy bitopological spaces. Also, he defined the concepts of ( i, j)-fuzzy -open sets, ( i, j)-fuzzy preopen sets, fuzzy pairwise -continuous mappings and fuzzy pairwise precontinuous mappings in the fuzzy bitopological spaces and studied some of their basic properties. In this paper, we generalize the concepts of fuzzy -open sets, fuzzy -continous mappings ? 새 Mashhour, Ghanim and Fata Alla[6] into fuzzy bitopological spaces, We first define the concepts of ( i, j)-fuzzy -open sets and then consider the generalizations of fuzzy pairwise -continuous mappings is obtained Besides many basic results, results related to products and graph of mapping are obtained in the fuzzy bitopological spaces.

  • PDF

Lattice Structure of Generalized Intuitionistic Fuzzy Soft Sets

  • Park, Jin Han
    • 한국지능시스템학회논문지
    • /
    • 제24권2호
    • /
    • pp.201-208
    • /
    • 2014
  • Park et al. introduced the concept of generalized intuitionistic fuzzy soft sets, which can be seen as an effective mathematical tool to deal with uncertainties. In this paper, we introduce new operations such as restricted union and restricted intersection and study their basic properties, and deal with the algebraic structure of generalized intuitionistic fuzzy soft sets. The lattice structures of generalized intuitionistic fuzzy soft sets are constructed.

On Fuzzy M-Sets and Fuzzy M-Continuity

  • Min, Won-Keun;Park, Chun-Kee
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제5권1호
    • /
    • pp.59-63
    • /
    • 2005
  • In this paper, we introduce the concept of fuzzy m-sets induced by a given fuzzy supratopology and investigate general properties of the new class consisted of fuzzy m-sets. We also introduce notions of fuzzy m-continuity, fuzzy m-open(closed) maps and study some properties of them.

구간값 모호집합에 기반을 둔 퍼지시스템의 신뢰도 분석 (Reliability Analysis of Fuzzy Systems Based on Interval Valued Vague Sets)

  • 이세열;조상엽;김용수
    • 한국지능시스템학회논문지
    • /
    • 제18권4호
    • /
    • pp.445-450
    • /
    • 2008
  • 퍼지시스템의 신뢰도를 분석하기 위해서 기존의 연구에서는 퍼지시스템의 구성요소의 신뢰도를 0과 1사이의 실수, 퍼지숫자, 신용구간, 모호집합, 구간값 퍼지집합 등으로 표현하였다. 본 논문에서 우리는 전체집합 [0, 1]에서 정의되는 구간값 모호집합을 기반으로 퍼지시스템의 신뢰도를 표현하고 분석하는 방법을 제안한다. 구간값 모호집합에서는 기존 모호집합[12, 14]의 상한과 하한을 각각 구간으로 표현한다. 그러므로 퍼지시스템의 신뢰도를 더 유연한 방법으로 표현하고 분석하는 것을 가능하게 한다. 제안한 방법은 Kumar[14]가 언급한 복잡한 퍼지 사다리꼴숫자 연간보다는 퍼지 삼각숫자의 간단한 산술연산을 사용하기 때문에 제안된 방법의 실행속도는 기존의 방법보다 실행이 더 빠르다.

A New Class of Similarity Measures for Fuzzy Sets

  • Omran Saleh;Hassaballah M.
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • 제6권2호
    • /
    • pp.100-104
    • /
    • 2006
  • Fuzzy techniques can be applied in many domains of computer vision community. The definition of an adequate similarity measure for measuring the similarity between fuzzy sets is of great importance in the field of image processing, image retrieval and pattern recognition. This paper proposes a new class of the similarity measures. The properties, sensitivity and effectiveness of the proposed measures are investigated and tested on real data. Experimental results show that these similarity measures can provide a useful way for measuring the similarity between fuzzy sets.