• 제목/요약/키워드: Fuzzy Relationship

검색결과 269건 처리시간 0.029초

L-FUZZY TOPOLOGICAL SPACES AND L-FUZZY QUASI-PROXIMITY SPACES

  • Kim, Eun-Seok;Ahn, Seung-Ho;Park, Dae-Heui
    • 호남수학학술지
    • /
    • 제33권1호
    • /
    • pp.27-41
    • /
    • 2011
  • This paper studies the relationship between L-fuzzy proximities and L-fuzzy topologies by topological fuzzy remote neigh-borhood systems. We will prove that the category of L-fuzzy topo- logical spaces can be embedded in the category of L-fuzzy quasi-proximity spaces as a core ective full subcategory.

Fuzzy closure spaces and fuzzy quasi-proximity spaces

  • Lee, Jong-Wan
    • 한국지능시스템학회논문지
    • /
    • 제9권5호
    • /
    • pp.550-554
    • /
    • 1999
  • We will define a fuzzy quasi-proximity space and give some examples of it. We show that the family M(X, C) of all fuzzy quasi-proximities on X which induce C is nonempty. Moreover we will study the relationship between the category of fuzzy closure spaces and that of fuzzy quasi-proximity spaces.

  • PDF

FUZZY $\sigma$-IDEALS OF $\sigma$-LATTICES

  • IN BYUNG SIK
    • Journal of applied mathematics & informatics
    • /
    • 제17권1_2_3호
    • /
    • pp.633-641
    • /
    • 2005
  • We investigate the relationship between fuzzy $\sigma$-ideals and fuzzy congruence on a distributive $\sigma$-lattice and obtain some useful results.

A NOTE ON ALMOST PERIODIC FUZZY MAPPINGS

  • Jeong, Jae-Ug
    • Journal of applied mathematics & informatics
    • /
    • 제10권1_2호
    • /
    • pp.277-282
    • /
    • 2002
  • In this paper we shall discuss the relationship between almost periodic fuzzy mappings and the properties of convergence theorems, and some results of almost periodic fuzzy mappings.

GA-Fuzzy Algorithm에 의한 세탁기 모터의 제어 (Control of the Washing Machineos Motor by the GA-Fuzzy Algorithm)

  • 이재봉;김지현;박윤서;선희복
    • 한국지능시스템학회논문지
    • /
    • 제5권2호
    • /
    • pp.3-12
    • /
    • 1995
  • A controller utilizing fuzzy logic is developed to control the speed of a motor in a washing machine by choosing an appropriate phase. Due to the hardship imposed on obtaining a result from a relation established for inputs, present speed and present rate of speed, and ouput, a phase, of the system that can be tested against an experimental result, it is impossible to apply a genetic algorithm to fine-tune the fuzzy logic controller. To avoid this difficulty, a proper assumption that the parameters of an if-part of a primary fuzzy logic controller have a functional relationship with an error between computed values and experimental ones in made. Setting up of a fuzzy relationship between the parameters and the errors is then achieved through experimentally obtained data. Genetic Algorithm is then applied to this secondary fuzzy logic controller to verify the fuzzy logic. In the verification process, the primary fuzzy logic controller is used in obtaining experimental results. In this way the kind of difficulty in obtaining enough experimental values used to verify the fuzzy logic with genetic algorithm is gotten around. Selection of the parameters that would produce the least error when using the secondary fuzzy logic controller is done with applying genetic algorithm to the then-part of the controller. In doing so the optimal values for the parameters of the if-part of the primary fuzzy logic controller are assumed to be contained. The experimental result presented in the paper validates the assumption.

  • PDF

On relationship among h value, membership function, and spread in fuzzy linear regression using shape-preserving operations

  • Hong, Dug-Hun
    • 한국지능시스템학회:학술대회논문집
    • /
    • 한국지능시스템학회 2008년도 춘계학술대회 학술발표회 논문집
    • /
    • pp.306-310
    • /
    • 2008
  • Fuzzy regression, a nonparametric method, can be quite useful in estimating the relationships among variables where the available data are very limited and imprecise. It can also serve as a sound methodology that can be applied to a variety of management and engineering problems where variables are interacting in an uncertain, qualitative, and fuzzy way. A close examination of the fuzzy regression algorithm reveals that the resulting possibility distribution of fuzzy parameters, which makes this technique attractive in a fuzzy environment, is dependent upon an h parameter value. The h value, which is between 0 and 1, is referred to as the degree of fit of the estimated fuzzy linear model to the given data, and is subjectively selected by a decision maker (DM) as an input to the model. The selection of a proper value of h is important in fuzzy regression, because it determines the range of the posibility ditributions of the fuzzy parameters. In this paper, we discuss the interdependent relationship among the h value, membership function shape, and the spreads of fuzzy parameters in fuzzy linear regression with fuzzy input-output using shape-preserving operations.

  • PDF

Entropy and information energy arithmetic operations for fuzzy numbers

  • Hong, Dug-Hun;Kim, Kyung-Tae
    • 한국지능시스템학회논문지
    • /
    • 제15권6호
    • /
    • pp.754-758
    • /
    • 2005
  • There have been several tipical methods being used tomeasure the fuzziness (entropy) of fuzzy sets. Pedrycz is the original motivation of this paper. Recently, Wang and Chiu [FSS103(1999) 443-455] and Pedrycz [FSS 64(1994) 21-30] showed the relationship(addition, subtraction, multiplication) between the entropies of the resultant fuzzy number and the original fuzzy numbers of same type. In this paper, using Lebesgue-Stieltjes integral, we generalize results of Wang and Chiu [FSS 103(1999) 443-455] concerning entropy arithmetic operations without the condition of same types of fuzzy numbers. And using this results and trade-off relationship between information energy and entropy, we study more properties of information energy of fuzzy numbers.

Fuzzy Causal Knowledge-Based Expert System

  • Lee, Kun-Chang;Kim, Hyun-Soo;Song, Yong-Uk
    • 한국지능시스템학회:학술대회논문집
    • /
    • 한국퍼지및지능시스템학회 1998년도 추계학술대회 학술발표 논문집
    • /
    • pp.461-467
    • /
    • 1998
  • Although many methods of knowledge acquisition has been developed in the expert systems field, such a need for causal knowledge acquisition has not been stressed relatively. In this respect, this paper is aimed at suggesting a causal knowledge acquisition process, and then investigate the causal knowledge-based inference process. A vehicle for causal knowledge acquisition is FCM (Fuzzy Cognitive Map), a fuzzy signed digraph with causal relationships between concept variables found in a specific application domain. Although FCM has a plenty of generic properties for causal knowledge acquisition, it needs some theoretical improvement for acquiring a more refined causal knowledge. In this sense, we refine fuzzy implications of FCM by proposing fuzzy implications of FCM by proposing fuzzy causal relationship and fuzzy partially causal relationship. To test the validity of our proposed approcach, we prototyped a causal knowledge-driven inference engine named CAKES and then experime ted with some illustrative examples.

  • PDF