An Algorithmic approach for Fuzzy Logic Application to Decision-Making Problems

결정 문제에 대한 퍼지 논리 적용의 알고리즘적 접근

  • 김창종 (수원대 전기전자정보통신공학부)
  • Published : 1997.06.01

Abstract

In order to apply fuzzy logic, two major tasks need to be performed: the derivation of fuzzy rules and the determination of membership functions. These tasks are often difficult and time-consuming. This paper presents an algorithmic method for generating membership functions and fuzzy rules applicable to decision-making problems; the method includes an entropy minimization for clustering analog samples. Membership functions are derived by partitioning the variables into desired number of fuzzy terms, and fuzzy rules are obtained using minimum entropy clustering. In the mle derivation process, rule weights are also calculated. Inference and defuzzification for classification problems are also discussed.

퍼지논리를 적용하기 위해서는 두가지 과제가 이루어져야 하는데 그것은 퍼지룰의 유도와 맴버쉽함수의 결정이다. 이 과제는 어렵고 또한 시간을 요하게 된다. 본 논문에서는 문제에 적용 가능한 멤버쉽함수와 퍼지룰을 자동으로 유도하기 위한 알고리즘적 방법을 제시하고 있다. 이 알고리즘적 방법은 샘플을 구분하는 엔트로피 최소화의 원리에 입각하고 있다. 멤버쉽함수는 샘플을 연속적으로 구분하여 이루어지며 퍼지룰 또한 엔트로피 최소화 원리에 의하여 이루어진다. 퍼지룰의 유도에서는 룰 비중 또한 같이 계산된다. 결정 문제에 적용을 위한 추론법 및 방법도 논의되었다.

Keywords

References

  1. Proceedings of the IEE v.121 no.12 Application of Fuzzy Algorithms for Control of Simple Dynamic Plant E.H.Mamdani
  2. Proceedings of the IEEE second International Conference on Fuzzy systems A Structure for Fuzzy Decision-Making System for Power System Protection C.J.Kim;B.D.Russell
  3. Proceedings of the Fifth International Fuzzy Systems Association World Congress Application of Fuzzy Expert Model for Power Systems Protection C.J.Kim;B.D.Russell
  4. Proceedings of the Second International Workshop on Industrial Fuzzy Control & Intelligent Systems Practical Models for Fuzzy Membership Estimation B.V.Dasarathy
  5. Adaptive Fuzzy Systems and Control:Design and Stability Analysis Lin-X.Wang
  6. IEEE Transactions on Computer v.40 no.2 Neural Network-based Fuzzy Logic Control and Decision System C.T.Lin;C.S.Lee
  7. Fuzzy Set Theory and Its Applications(Second Edition) H.J.Zimmermann
  8. Proceedings of the Workshop on Discrete Systems and Fuzzy Reasoning The Application of Fuzzy Control Systems to Industrial Processes P.J.King;E.H.Mamdani
  9. Entropy Minimax Sourcebook v.I-IV R.Christensen
  10. Ph.D.Dissertation, Texas A&M University An Intelligent Decision-Making System for Detecting High Impedance Faults C.J.Kim