• Title/Summary/Keyword: fuzzy arithmetic

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FUZZY TRANSPORTATION PROBLEM IS SOLVED UTILIZING SIMPLE ARITHMETIC OPERATIONS, ADVANCED CONCEPT, AND RANKING TECHNIQUES

  • V. SANGEETHA;K. THIRUSANGU;P. ELUMALAI
    • Journal of applied mathematics & informatics
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    • v.41 no.2
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    • pp.311-320
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    • 2023
  • In this article, a new penalty and different ranking algorithms are used to find the lowest transportation costs for the fuzzy transportation problem. This approach utilises different ranking techniques when dealing with triangular fuzzy numbers. Also, we find that the fuzzy transportation solution of the proposed method is the same as the Fuzzy Modified Distribution Method (FMODI) solution. Finally, examples are used to show how a problem is solved.

Some Properties of Operations on Fuzzy Numbers

  • Hong, Dug-Hun
    • Journal of the Korean Data and Information Science Society
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    • v.13 no.2
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    • pp.209-216
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    • 2002
  • In this paper, we introduce a concept of (H)-property which generalize that of increasing(decreasing) property of binary operation. We also treat some works related to operations on fuzzy numbers and generalize earlier results of Kawaguchi and Da-te(1994).

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Fast Fuzzy Inference Algorithm for Fuzzy System constructed with Triangular Membership Functions (삼각형 소속함수로 구성된 퍼지시스템의 고속 퍼지추론 알고리즘)

  • Yoo, Byung-Kook
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.1
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    • pp.7-13
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    • 2002
  • Almost applications using fuzzy theory are based on the fuzzy inference. However fuzzy inference needs much time in calculation process for the fuzzy system with many input variables or many fuzzy labels defined on each variable. Inference time is dependent on the number of arithmetic Product in computation Process. Especially, the inference time is a primary constraint to fuzzy control applications using microprocessor or PC-based controller. In this paper, a simple fast fuzzy inference algorithm(FFIA), without loss of information, was proposed to reduce the inference time based on the fuzzy system with triangular membership functions in antecedent part of fuzzy rule. The proposed algorithm was induced by using partition of input state space and simple geometrical analysis. By using this scheme, we can take the same effect of the fuzzy rule reduction.

Sketch Feature Extraction Through Learning Fuzzy Inference Rules with a Neural Network (퍼지규칙의 신경망 학습을 통한 스케치 특징점 추출)

  • Cho, Sung-Mok
    • The Transactions of the Korea Information Processing Society
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    • v.5 no.4
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    • pp.1066-1073
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    • 1998
  • In this paper, we propose a new efficient operator named DBAH (difference between arithmetic mean and harmonic mean) and a technique for extracting sketch features through learning fuzzy inference rules with a neural network. The DBAH operator provide some advantages; sensitivity dependence on local intensities and insensitivity on small rates of intensity change in very dark regions. Also, the proposed fuzzy reasoning technique by a neural network has a good performance in extracting sketch features without human intervention.

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DBAH operator and fuzzy reasoning of thresholds for extracting sketch features (스케치특징 추출을 위한 DBAH 연산자와 임계치의 퍼지추론)

  • Jo, Seong-Mok
    • The Transactions of the Korea Information Processing Society
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    • v.3 no.6
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    • pp.1607-1615
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    • 1996
  • A new simply computable operator named DBAH(difference between arithmetic mean and mean)and fuzzy reasoning technique of local thresholds for extracting sketch features are proposed in this paper.The DBAH operator provides some advantages, for example dependence on local intensities and small reponses with small rates of intensity change in very dark regions. Also, the proposed fuzzy reasoning technique has a good performance extracting sketch features without human intervention.

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A Design of Control Chart for Fraction Nonconforming Using Fuzzy Data (퍼지 데이터를 이용한 불량률(p) 관리도의 설계)

  • 김계완;서현수;윤덕균
    • Journal of Korean Society for Quality Management
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    • v.32 no.2
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    • pp.191-200
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    • 2004
  • Using the p chart is not adequate in case that there are lots of data and it is difficult to divide into products conforming or nonconforming because of obscurity of binary classification. So we need to design a new control chart which represents obscure situation efficiently. This study deals with the method to performing arithmetic operation representing fuzzy data into fuzzy set by applying fuzzy set theory and designs a new control chart taking account of a concept of classification on the term set and membership function associated with term set.

Multi-variate Fuzzy Polynomial Regression using Shape Preserving Operations

  • Hong, Dug-Hun;Do, Hae-Young
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.1
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    • pp.131-141
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    • 2003
  • In this paper, we prove that multi-variate fuzzy polynomials are universal approximators for multi-variate fuzzy functions which are the extension principle of continuous real-valued function under $T_W-based$ fuzzy arithmetic operations for a distance measure that Buckley et al.(1999) used. We also consider a class of fuzzy polynomial regression model. A mixed non-linear programming approach is used to derive the satisfying solution.

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FUZZY POLYNOMIAL REGRESSION ANALYSIS USING SHAPE PRESERVING IOERATION

  • Hong, Dug-Hun;Do, Hae-Young
    • Journal of applied mathematics & informatics
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    • v.8 no.3
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    • pp.869-880
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    • 2001
  • In this paper, we describe a method for fuzzy polynomial regression analysis for fuzzy input-output data using shape preserving operations based on Tanaka’s approach. Shape preserving operations simplifies the computation of fuzzy arithmetic operations. We derive the solution using general linear program.

Fuzzy least squares polynomial regression analysis using shape preserving operations

  • Hong, Dug-Hun;Hwang, Chang-Ha;Do, Hae-Young
    • Journal of the Korean Institute of Intelligent Systems
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    • v.13 no.5
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    • pp.571-575
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    • 2003
  • In this paper, we describe a method for fuzzy polynomial regression analysis for fuzzy input--output data using shape preserving operations for least-squares fitting. Shape preserving operations simplifies the computation of fuzzy arithmetic operations. We derive the solution using mixed nonlinear program.

A Real-time High-speed Fuzzy Control System Using Integer Fuzzy Control Method (정수형 퍼지제어기법을 적용한 실시간 고속 퍼지제어시스템)

  • 손기성;김종혁;성은무;이상구
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.05a
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    • pp.299-302
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    • 2003
  • In fuzzy control systems having large volumes of fuzzy data. one of the important problems is the improvement of execution speed in the fuzzy inference and defuzzification stages. In this paper, to improve the speedup of fuzzy controllers, we use an integer line mapping algorithm to convert [0, 1] real values in the fuzzy membership functions to integer pixels. U sing this, we propose a real-time high-speed fuzzy control system and implement a fast fuzzy processor and control system using FPGAs.

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