• Title/Summary/Keyword: Fuzzy Numbers

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Mobile robot indoor map making using fuzzy numbers and graph theory

  • Kim, Wan-Joo;Ko, Joong-Hyup;Chung, Myung-Jin
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.491-495
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    • 1993
  • In this paper, we present a methodology to model an indoor environment of a mobile robot using fuzzy numbers and to make a global map of the robot environment using graph theory. We describe any geometric primitive of robot environment as a parameter vector in parameter space and represent the ill-known values of the prameterized geometric primitive by means of fuzzy numbers restricted to appropriate membership functions. Also we describe the spatial relations between geometric prinitives using graph theory for local maps. For making the global map of the mobile robot environment, the correspondence problem between local maps is solved using a fuzzy similarity measure and a Bipartite graph matching technique.

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Representation of comparison results between fuzzy numbers with fuzzy sets (퍼지집합을 이용한 퍼지숫자의 비교결과 표현)

  • 퍼지합;이광형
    • Proceedings of the Korean Information Science Society Conference
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    • 1998.10c
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    • pp.30-32
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    • 1998
  • 퍼지숫자는 불명확한 값을 표현하기 때문에, 퍼지숫자의 비교결과 역시 불명확한 성질을 갖고 있다. 본 논문에서는 이러한 퍼지숫자의 비교결과에 존재하는 불명확성을 표현하기 위해서, 퍼지 만족도 함수를 제안한다. 퍼지 만족도 함수는 두 퍼지숫자를 비교하여 그 비교결과로 0과1사이의 퍼지집합을 출력한다. 즉, 어느 숫자가 다른 숫자보다 클(작을) 가능성을 단순히 0과1사이의 값이 아닌, 퍼지집합으로 표현한다. 퍼지 만족도 함수는 이전에 제안된 만족도 함수로부터 확장되었다. 본 논문에서는 만족도 함수를 간략히 소개하고, 이를 이용하여 퍼지 만족도 함수를 제안하며, 이를 퍼지숫자 비교에 적용한 예를 제시한다.

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A Study on the Construction Method selecting scheme using Fuzzy Relative Preference Ratio method (퍼지 R.P.R(Relative Preference Ratio)기법을 이용한 건설프로젝트의 공법선정에 관한 연구)

  • Lee Dong-Un;Kim Kyung-Whal
    • Korean Journal of Construction Engineering and Management
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    • v.5 no.5 s.21
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    • pp.143-150
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    • 2004
  • Nowaday, The tendency of complexity and extension of construction fields increase the need for efficient works managements like a construction management. Consequently, by the introduction of Decision-Making Theories, researches for improving construction field's efficiencies are actively performed. Fuzzy Analytical Hierarchy Process method is invented, so that describes a decision maker's ambiguous linguistic judgment with fuzzy numbers. but most of researches on Fuzzy-AHP use symmetric triangular fuzzy function for estimating each evaluation item with the consequence that exact judgments are impossible. those limits are caused by the point that employed fuzzy ranking methods can not support dissymmetric fuzzy numbers. In this research, we aims to overcome this problem with R.P.R(Relative Preference Ratio) method and suggest improved Fuzzy-AHP method which can use dissymmetric fuzzy triangular numbers.

AGGREGATION OPERATORS OF CUBIC PICTURE FUZZY QUANTITIES AND THEIR APPLICATION IN DECISION SUPPORT SYSTEMS

  • Ashraf, Shahzaib;Abdullah, Saleem;Mahmood, Tahir
    • Korean Journal of Mathematics
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    • v.28 no.2
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    • pp.343-359
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    • 2020
  • The paper aim is to resolve the issue of ranking to the fuzzy numbers in decision analysis, artificial intelligence and optimization. In the literature lot of ideologies have been established for ranking to the fuzzy numbers, that ideologies have some restrictions and limitations. In this paper, we proposed a method based on cubic picture fuzzy information's, for ranking to defeat the existing restrictions. Further introduced some cubic picture fuzzy algebraic and cubic picture fuzzy algebraic* aggregated operators for aggregated the information. Finally, a multi-attribute decision making problem is assumed as a practical application to establish the appropriateness and suitability of the proposed ranking approach.

Use of Fuzzy Set Theoretical Approach in Radioactive Waste Management (방사성 폐기물관리에 모호집합론적 접근법의 적용)

  • 문주현;김성호
    • Proceedings of the Korea Society for Energy Engineering kosee Conference
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    • 1998.10a
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    • pp.64-68
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    • 1998
  • This paper discusses the potential application of fuzzy set theory to the decision-making in the area of radioactive waste management. the approach proposed in this study is based on the concepts of fuzzy set theory and the hierarchical structure analysis. The linguistic variables and fuzzy numbers are used to aggregate the decision maker's subjective assessments of the decision criteria and of the decision alternatives with respect to these criteria. For each alternative, the fuzzy appropriateness index is evaluated to obtain the final score. Using total integral value method, one of methods for ranking fuzzy numbers, the fuzzy appropriateness indices are ranked. As a case problem, selection of the most suitable option for spent fuel storage is illustrated.

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Fuzzy Linguistic Approach for Evaluating Task Complexity in Nuclear Power Plant (원자력발전소에서의 작업복잡도를 평가하기 위한 퍼지기반 작업복잡도 지수의 개발)

  • Jung Kwang-Tae;Jung Won-dea;Park Jin-Kyun
    • Journal of the Korean Society of Safety
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    • v.20 no.1 s.69
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    • pp.126-132
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    • 2005
  • The purpose of this study is to propose a method to evaluate task complexity using CIFs(Complexity Influencing Factors). We developed a method that CIFs can be used in the evaluation of task complexity using fuzzy linguistic approach. That is, a fuzzy linguistic multi-criteria method to assess task complexity in a specific task situation was proposed. The CIFs luting was assessed in linguistic terms, which are described by fuzzy numbers with triangular and trapezoidal membership function. A fuzzy weighted average algorithm, based on the extension principle, was employed to aggregate these fuzzy numbers. Finally, the method was validated by experimental approach. In the result, it was validated that TCIM(Tink Complexity Index Method) is an efficient method to evaluate task complexity because the correlation coefficient between task performance time and TCI(Task Complexity Index) was 0.699.

Feature Selection of Fuzzy Pattern Classifier by using Fuzzy Mapping (퍼지 매핑을 이용한 퍼지 패턴 분류기의 Feature Selection)

  • Roh, Seok-Beom;Kim, Yong Soo;Ahn, Tae-Chon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.24 no.6
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    • pp.646-650
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    • 2014
  • In this paper, in order to avoid the deterioration of the pattern classification performance which results from the curse of dimensionality, we propose a new feature selection method. The newly proposed feature selection method is based on Fuzzy C-Means clustering algorithm which analyzes the data points to divide them into several clusters and the concept of a function with fuzzy numbers. When it comes to the concept of a function where independent variables are fuzzy numbers and a dependent variable is a label of class, a fuzzy number should be related to the only one class label. Therefore, a good feature is a independent variable of a function with fuzzy numbers. Under this assumption, we calculate the goodness of each feature to pattern classification problem. Finally, in order to evaluate the classification ability of the proposed pattern classifier, the machine learning data sets are used.