• Title/Summary/Keyword: Triangular Fuzzy Numbers

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The Application of Fuzzy Delphi Method in Forecasting of the price index of stocks (주가지수의 예측에 있어 Fuzzy Delphi 방법의 적용)

  • 김태호;강경식;김창은;박윤선;현광남
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.15 no.26
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    • pp.111-117
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    • 1992
  • In the stock marketing. investor needs speedy and accurate decision making for the investment. A stock exchange index provides the important index of the early of 1993 in Korea using Fuzzy Delphi Method(F. D. M) which is widely used to a mid and long range forecasting in decision making problem. In the Fuzzy Delphi method, considerably qualified experts an first requested to give their opinion seperately and without intercommunication. The forecasting data of experts consist of Triangular Fuzzy Number (T.F.N) which represents the pessimistic, moderate, and optimistic forecast of a stock exchange index. A statistical analysis and dissemblance index are then made of these subject data. These new information are then transmitted to the experts once again, and the process of reestimation is continued until the process converges to a reasonable stable forecast of stock exchange index. The goal of this research is to forecast the stock exchange index using F.D.M. in which subjective data of experts are transformed into quasi -objective data index by some statistical analysis and fuzzy operations. (a) A long range forecasting problem must be considered as an uncertain but not random problem. The direct use of fuzzy numbers and fuzzy methods seems to be more compatible and well suited. (b) The experts use their individual competency and subjectivity and this is the very reason why we propose the use of fuzzy concepts. (c) If you ask an expert the following question: Consider the forecasting of the price index of stocks in the near future. This experts wi11 certainly be more comfortable giving an answer to this question using three types of values: the maximum value, the proper value, and the minimum value rather than an answer in terms of the probability.

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Evaluation of the Probability of Failure in Rock Slope Using Fuzzy Reliability Analysis (퍼지신뢰도(fuzzy reliability) 해석기법을 이용한 암반사면의 파괴확률 산정)

  • Park, Hyuck-Jin
    • Economic and Environmental Geology
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    • v.41 no.6
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    • pp.763-771
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    • 2008
  • Uncertainties are pervasive in engineering geological problems. Therefore, the presence of uncertainties and their significance in analysis and design of slopes have been recognized. Since the uncertainties cannot be taken into account by the conventional deterministic approaches in slope stability analysis, the probabilistic analysis has been considered as the primary tool for representing uncertainties in mathematical models. However, some uncertainties are caused by incomplete information due to lack of information, and those uncertainties cannot be handled appropriately by the probabilistic approach. For those uncertainties, the theory of fuzzy sets is more appropriate. Therefore, in this study, fuzzy reliability analysis has been proposed in order to deal with the uncertainties which cannot be quantified in the probabilistic analysis due to the limited information. For the practical example, a slope is selected in this study and both the probabilistic analysis and the fuzzy reliability analysis have been carried out for planar failure. In the fuzzy reliability analysis, the dip angle and internal friction angle of discontinuity are considered as triangular fuzzy numbers since the random properties of the variables cannot be obtained completely under the conditions of limited information. In the study, the fuzzy reliability index and the probabilities of failure are evaluated from fuzzy arithmetic and compared to those from the probabilistic approach using Monte Carlo simulation and point estimate method. The analysis results show that the fuzzy reliability analysis is more appropriate for the condition that the uncertainties arise due to incomplete information.

Risk Critical Point (RCP): A Quantifying Safety-Based Method Developed to Screen Construction Safety Risks

  • Soltanmohammadi, Mehdi;Saberi, Morteza;Yoon, Jin Hee;Soltanmohammadi, Khatereh;Pazhoheshfar, Peiman
    • Industrial Engineering and Management Systems
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    • v.14 no.3
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    • pp.221-235
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    • 2015
  • Risk assessment is an important phase of risk management. It is the stage in which risk is measured thoroughly to achieve effective management. Some factors such as probability and impact of risk have been used in the literature related to construction projects. Because in high-rise projects safety issues are paramount, this study has tried to develop a quantifying technique that takes into account three factors: probability, impact and Safety Performance Index (SPI) where the SPI is defined as the capability of an appropriate response to reduce or limit the effect of an event after its occurrence with regard to safety pertaining to a project. Regarding risk-related literatures which cover an uncertain subject, the proposed method developed in this research is based on a fuzzy logic approach. This approach entails a questionnaire in which the subjectivity and vagueness of responses is dealt with by using triangular fuzzy numbers instead of linguistic terms. This method returns a Risk Critical Point (RCP) on a zoning chart that places risks under categories: critical, critical-probability, critical-impact, and non-critical. The high-rise project in the execution phase has been taken as a case study to confirm the applicability of the proposed method. The monitoring results showed that the RCP method has the inherent ability to be extended to subsequent applications in the phases of risk response and control.

A Decision Support System for the Selection of a Rapid Prototyping Process (쾌속조형공정 선정을 위한 지원 시스템)

  • 변홍석;이관행
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.5-8
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    • 2003
  • This paper presents a methodology to be able to select an appropriate RP system that suits the end use of a part. Evaluation factors used in process selection include major attributes such as accuracy, roughness, strength, elongation, part cost and build time that greatly affect the performance of RP systems. Crisp values such as accuracy and surface roughness are obtained with a new test part developed. The test part is designed with conjoint analysis to reflect users' preference. The part cost and build time that have approximate ranges due to cost and many variable parameters are presented by linguistic values that can be described with triangular fuzzy numbers. Based on the evaluation values obtained, an appropriate RP process for a specific part application is selected by using the modified TOPSIS(Technique of Order Preference by Similarity to Ideal Solution) method. It uses crisp data as well as linguistic variables, and each weight on the alternatives is assigned by using pair-wise comparison matrix. The ranking order helps the decision making of the selection of RP systems.

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Small Business Research and Development Assessment System based on Fuzzy-AHP (Fuzzy-AHP 기반 중소기업 R&D 평가 시스템)

  • Park, Seong-Ho;Oh, Jae-Taek;Lee, Sang-Yong
    • Journal of Digital Convergence
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    • v.18 no.9
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    • pp.323-329
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    • 2020
  • There is a system of mandating the allocation of support to small business in certain percentage or more to facilitate technological innovation at small business. Trying to assess small business R&D projects, which receive a budget of three trillion won or more from the government every year, for their possibilities of success, a group of experts perform a technological evaluation with their technologies and their difficulty levels and review closely the possibilities of their commercialization and success. Used in such a review, the Analytic Hierarchy Process technique cannot make an objective judgment of evaluation criteria for evaluation items and guarantee the professionalism and fairness of small business R&D projects due to the inherent ambiguity and uncertainty of the evaluation criteria. This study proposed an R&D evaluation system based on Fuzzy-AHP for small business to provide objective weight for the evaluation items and assess the possibilities of such projects' success. The evaluation criteria were make objective as they were applied as section values based on triangular fuzzy numbers. Weight was assigned and applied according to the management guidelines of supportive projects for small business' technological development so that it could be reflected on actual assessment. The findings of the study will be helpful for reflecting the scoring weight of these evaluation items again when an expert is appointed for a new project and guaranteeing the professionalism and fairness of small business R&D project based on them.