• Title/Summary/Keyword: Triangular Fuzzy Numbers

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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.

AN ALGEBRAIC OPERATIONS FOR TWO GENERALIZED 2-DIMENSIONAL QUADRATIC FUZZY SETS

  • Yun, Yong Sik
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.4
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    • pp.379-386
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    • 2018
  • We generalized the quadratic fuzzy numbers on ${\mathbb{R}}$ to ${\mathbb{R}}_2$. By defining parametric operations between two regions valued ${\alpha}-cuts$, we got the parametric operations for two triangular fuzzy numbers defined on ${\mathbb{R}}_2$. The results for the parametric operations are the generalization of Zadeh's extended algebraic operations. We generalize the 2-dimensional quadratic fuzzy numbers on ${\mathbb{R}}_2$ that may have maximum value h < 1. We calculate the algebraic operations for two generalized 2-dimensional quadratic fuzzy sets.

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

  • Lee, Se-Yul;Cho, Sang-Yeop;Kim, Yong-Soo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.4
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    • pp.445-450
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    • 2008
  • In order to analyze the reliabilities of the fuzzy systems, the reliabilities of the components in the fuzzy systems are represented by real values between zero and one, fuzzy numbers, intervals of confidence, vague sets, interval valued fuzzy sets, etc in the conventional researches. In this paper, we propose a method to represent and analyze the reliabilities of the fuzzy systems based on the interval valued vague sets defined in the universe of discourse [0, 1]. In the interval valued vague sets, the upper bounds and the lower bounds of the conventional vague sets[12, 14] are represented as the intervals. Therefore, it can allow the reliabilities of a fuzzy system to represent and analyze in a more flexible manner. Because the proposed method uses the simplified arithmetic operations of the fuzzy triangular numbers rather than the complicated of the fuzzy trapezoidal numbers mentioned by Kumar[14], the execution of the proposed method is faster than the one.

THE PENTAGONAL FUZZY NUMBERS

  • Lee, Bongju;Yun, Yong Sik
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.2
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    • pp.277-286
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    • 2014
  • We define the pentagonal fuzzy sets and generalize the results of addition, subtraction, multiplication, and division based on the Zadeh's extension principle for two pentagonal fuzzy sets. In addtion, we find the condition that the result of addition or subtraction for two pentagonal fuzzy sets becomes a triangular fuzzy number and give some example.

An Establishment of the Forecasting System for General Index using Fuzzy Delphi Method (Fuzzy Delpi 법(法)을 이용한 일반 지수 예측 시스템 구축)

  • Kim, Chang-Eun;Choi, Hwan-Seok
    • IE interfaces
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    • v.9 no.1
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    • pp.53-62
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    • 1996
  • The Delphi method is widely used for long and middle range forecasting in management science. It is a method by which the subjective data of experts are made to converge using statistical analysis. The Fuzzy Delphi Method(F.D.M.), anew application of the Delphi method using Triangular Fuzzy Numbers(T.F.N.), can help to predict the uncertainty, synthesize the opinion and calculation of those assumed dissemblance index and fuzzy distance. Furthermore, the programming of the F.D.M. process to feed paper and data back to experts can make them more accurately predict the various information.

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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.

Improvement of Three Mixture Fragrance Recognition using Fuzzy Similarity based Self-Organized Network Inspired by Immune Algorithm

  • Widyanto, M.R.;Kusumoputro, B.;Nobuhara, H.;Kawamoto, K.;Yoshida, S.;Hirota, K.
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09a
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    • pp.419-422
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    • 2003
  • To improve the recognition accuracy of a developed artificial odor discrimination system for three mixture fragrance recognition, Fuzzy Similarity based Self-Organized Network inspired by Immune Algorithm (F-SONIA) is proposed. Minimum, average, and maximum values of fragrance data acquisitions are used to form triangular fuzzy numbers. Then the fuzzy similarity treasure is used to define the relationship between fragrance inputs and connection strengths of hidden units. The fuzzy similarity is defined as the maximum value of the intersection region between triangular fuzzy set of input vectors and the connection strengths of hidden units. In experiments, performances of the proposed method is compared with the conventional Self-Organized Network inspired by Immune Algorithm (SONIA), and the Fuzzy Learning Vector Quantization (FLVQ). Experiments show that F-SONIA improves recognition accuracy of SONIA by 3-9%. Comparing to the previously developed artificial odor discrimination system that used FLVQ as pattern classifier, the recognition accuracy is increased by 14-25%.

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Fuzzy-AHP Based Mobile Games Recommendation System Using Bayesian Network (베이지안 네트워크를 이용한 Fuzzy-AHP 기반 모바일 게임 추천 시스템)

  • Oh, Jae-Taek;Lee, Sang-Yong
    • Journal of Digital Convergence
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    • v.15 no.4
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    • pp.461-468
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    • 2017
  • The current available recommendation systems for mobile games have a couple of problems. First, there is no knowing whether they make a pattern recommendation for games that actual users prefer or for games that they are simply interested in. It is also impossible to know the subjective preference of users in a direct manner. An AHP(Analytic Hierarchy Process)-based recommendation system for mobile games was thus developed to reflect the subjective preference of users directly, but it had its own problem since the degree of preference could vary among users in spite of the same scale for their preferable items. In an effort to solve those problems, this study implemented a recommendation system for mobile games by applying triangular fuzzy numbers of the Fuzzy-AHP technique and the independence of evaluation items in the Bayesian Network. The findings show that the proposed recommendation system recorded the highest accuracy of recommendation results and the highest level of user satisfaction.

MULTI-OBJECTIVES FUZZY MODELS FOR DESIGNING 3D TRAJECTORY IN HORIZONTAL WELLS

  • Qian, Weiyi;Feng, Enmin
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.265-275
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    • 2004
  • In this paper, multi-objective models for designing 3D trajectory of horizontal wells are developed in a fuzzy environment. Here, the objectives of minimizing the length of the trajectory and the error of entry target point are fuzzy in nature. Some parameters, such as initial value, end value, lower bound and upper bound of the curvature radius, tool-face angle and the arc length of each curve section, are also assumed to be vague and imprecise. The impreciseness in the above objectives have been expressed by fuzzy linear membership functions and that in the above parameters by triangular fuzzy numbers. Models have been solved by the fuzzy non-linear programming method based on Zimmermann [1] and Lee and Li [2]. Models are applied to practical design of the horizontal wells. Numerical results illustrate the accuracy and efficiency of the fuzzy models.

Using Fuzzy Set Theory in Project Planning Problem

  • Park, Seung-Hun;Chang, In seong
    • Journal of the Korean Operations Research and Management Science Society
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    • v.20 no.1
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    • pp.131-145
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    • 1995
  • This paper presents a method for solving project planning problem which the opinions of experts greatly disagree in each activity processing time. Triangular fuzzy numbers (TFNs) are used to represent activity times of experts. And we introduce a pessimistic project planning with major TFNs and an optimistic project planning with minor. TFNs, and illustrate the approach using a combination of the existing composite and the comparison methods, which is used to solve the complex project planning problem.

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