• 제목/요약/키워드: Fuzzy Numbers

검색결과 321건 처리시간 0.024초

ALGEBRAIC OPERATIONS ON FUZZY NUMBERS USING OF LINEAR FUNCTIONS

  • Myung, Jae Deuk
    • Korean Journal of Mathematics
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    • 제11권1호
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    • pp.1-7
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    • 2003
  • In this paper, we introduce two types of algebraic operations on fuzzy numbers using piecewise linear functions and then show that the Zadeh implication is smaller than the Diense-Rescher implication, which is smaller than the Lukasiewicz implication. If ($f$, *) is an available pair, then $A*_mB{\leq}A*_pB{\leq}A*_jB$.

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PARAMETRIC OPERATIONS FOR TWO FUZZY NUMBERS

  • Byun, Jisoo;Yun, Yong Sik
    • 대한수학회논문집
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    • 제28권3호
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    • pp.635-642
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    • 2013
  • There are many results on the extended operations of two fuzzy numbers based on the Zadeh's extension principle. For the calculation, we have to use existing operations between two ${\alpha}$-cuts. In this paper, we define parametric operations between two ${\alpha}$-cuts which are different from the existing operations. But we have the same results as the extended operations of Zadeh's principle.

CMOS-Based Fuzzy Operation Circuit Using Binary-Coded Redundantly-Represented Positive-Digit Numbers

  • Tabata, Toru;Ueno, Fumio;Eguchi, Kei;Zhu, Hongbing
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2000년도 ITC-CSCC -1
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    • pp.195-198
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    • 2000
  • It is possible to perform the digital fuzzy logical high-speed and high-precision computation by the use of redundantly-represented binary positive-digit number arithmetic operation. In this paper, as basic operation circuits in the fuzzy logic new voltage-mode 4-valued binary parallel processing operation circuits using positive redundantly-expressed binary-coded numbers is discussed.

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Sequence Space m(M, φ)F of Fuzzy Real Numbers Defined by Orlicz Functions with Fuzzy Metric

  • Tripathy, Binod Chandra;Borgohain, Stuti
    • Kyungpook Mathematical Journal
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    • 제53권3호
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    • pp.319-332
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    • 2013
  • The sequence space $m(M,{\phi})^F$ of fuzzy real numbers is introduced. Some properties of this sequence space like solidness, symmetricity, convergence-free etc. are studied. We obtain some inclusion relations involving this sequence space.

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

  • 이세열;조상엽;김용수
    • 한국지능시스템학회논문지
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    • 제18권4호
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    • pp.445-450
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    • 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.

On type-2 fuzzy set-valued mappings

  • Kim, H.M.;L.C. Jang;J.D. Jeon
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2001년도 추계학술대회 학술발표 논문집
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    • pp.311-313
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    • 2001
  • In this paper, we define type-2 fuzzy mappings on L-L fuzzy numbers and discuss some properties of these mappings.

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퍼지목표계획(目標計劃) 모형(模型)의 보조문제화(補助問題化) (On Auxiliary Linear Programming Problems for Fuzzy Goal Programming)

  • 박상규
    • 품질경영학회지
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    • 제20권1호
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    • pp.101-106
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    • 1992
  • In this paper fuzzy goal programming problems with fuzzy constraints and fuzzy coefficients in both matrix and right hand side of the constraints set are considered. Because of fuzzy coefficients in both members of each constraint ranking methods for fuzzy numbers are considered. An additive model to solve fuzzy goal programming problems is formulated. The diversity of each methods provides a lot of different models of auxiliary linear programming problems from which fuzzy solutions to the fuzzy goal programming problem can be obtained.

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퍼지 규칙기반제어기에서 시스템의 성능평가 (The Performance Evaluation of Fuzzy Rule-Based System)

  • 김영철;최종수;최한수;김성중
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1992년도 하계학술대회 논문집 A
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    • pp.261-264
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    • 1992
  • In designing the fuzzy rule-based system, it has effected by the four significant factors such as the choice of membership function, scaling factor, the numbers of fuzzy control rule, the method of defuzzification. In this paper we design the fuzzy rule based system and evaluate by three factors, as followes reaching time, overshoot, and amplitude. And then we wiII show that the significant factors are the choice of scaling factor and the numbers of fuzzy control rule, and the system performance can be improved by the proper selection of the scaling factors.

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