• Title/Summary/Keyword: Fuzzy Linear Regression

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A Study on the Development of Fuzzy Linear Regression I

  • Kim, Hakyun
    • The Journal of Information Systems
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    • v.4
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    • pp.27-39
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    • 1995
  • This study tests the fuzzy linear regression model to see if there is a performance difference between it and the classical linear regression model. These results show that FLR was better as f forecasting technique when compared with CLR. Another important find in the test of the two different regression methods is that they generate two different predicted P/E ratios from expected value test, variance test and error test of two different regressions, though we can not see a significant difference between two regression models doing test in error measurements (GMRAE, MAPE, MSE, MAD). So, in this financial setting we can conclude that FLR is not superior to CLR, comparing and testing between the t재 different regression models. However, FLR is better than CLR in the error measurements.

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Statistic Microwave Path Loss Modeling in Urban Line-of-Sight Area Using Fuzzy Linear Regression

  • Phaiboon, Supachai;Phokharatkul, Pisit;Somkurnpanit, Suripon
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1249-1253
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    • 2005
  • This paper presents a method to model the path loss characteristics in microwave urban line-of-sight (LOS) propagation. We propose new upper- and lower-bound models for the LOS path loss using fuzzy linear regression (FLR). The spread of upper- and lower-bound of FLR depends on max and min value of a sample path loss data while the conventional upper- and lower-bound models, the spread of the bound intervals are fixed and do not depend on the sample path loss data. Comparison of our models to conventional upper- and lower-bound models indicate that improvements in accuracy over the conventional models are achieved.

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Fuzzy Regression Analysis Using Fuzzy Neural Networks (퍼지 신경망에 의한 퍼지 회귀분석)

  • Kwon, Ki-Taek
    • Journal of Korean Institute of Industrial Engineers
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    • v.23 no.2
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    • pp.371-383
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    • 1997
  • This paper propose a fuzzy regression method using fuzzy neural networks when a membership value is attached to each input-output pair. First, a method of linear fuzzy regression analysis is described by interpreting the reliability of each input-output pair as its membership values. Next, an architecture of fuzzy neural networks with fuzzy weights and fuzzy biases is shown. The fuzzy neural network maps a crisp input vector to a fuzzy output. A cost function is defined using the fuzzy output from the fuzzy neural network and the corresponding target output with a membership value. A learning algorithm is derived from the cost function. The derived learning algorithm trains the fuzzy neural network so that the level set of the fuzzy output includes the target output. Last, the proposed method is illustrated by computer simulations on numerical examples.

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An Inventory Management for Fuzzy Linear Regression (퍼지선형회귀를 이용한 재고관리)

  • 허철회;조성진;정환묵
    • The Journal of Society for e-Business Studies
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    • v.6 no.3
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    • pp.197-207
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    • 2001
  • The industrial structure comes to be complicated and for the production of the enterprise the rational and scientific forecast is necessary. The demand forecast has been widely used to linear regression, and up to now the linear regression was sharp the relationskp between then dependent variable and the independent variables. But, The real society demands accurate demand forecast from uncertain environment and subjective concept. This paper proposes the demand quantity forecast method to using of the fuzzy linear regression in uncertain and vague environment. Also, the optimum decision making of the demand quantity forecast uses integral calculus of the Sugeno to reflecting with the expert's (inventory manager) opinion.

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Asymptotic Consistency of Least Squares Estimators in Fuzzy Regression Model

  • Yoon, Jin-Hee;Kim, Hae-Kyung;Choi, Seung-Hoe
    • Communications for Statistical Applications and Methods
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    • v.15 no.6
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    • pp.799-813
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    • 2008
  • This paper deals with the properties of the fuzzy least squares estimators for fuzzy linear regression model. Especially fuzzy triangular input-output model including error term is proposed. The error term is considered as a fuzzy random variable. The asymptotic unbiasedness and the consistency of the estimators are proved using a suitable metric.

DEVELOPMENT AND EVALUATION OF A CENTROID-BASED EOQ MODEL FOR ITEMS SUBJECT TO DEGRADATION AND SHORTAGES

  • K. KALAIARASI;S. SWATHI
    • Journal of applied mathematics & informatics
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    • v.42 no.5
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    • pp.1063-1076
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    • 2024
  • This research introduces an innovative approach to revolutionize inventory management strategies amid unpredictable demand and uncertainties. Introducing a Fuzzy Economic Order Quantity (EOQ) model, enriched with the centroid defuzzification method and supervised machine learning, the study offers a comprehensive solution for optimized decision-making. The model transcends traditional inventory paradigms by seamlessly integrating fuzzy logic and advanced machine learning, emphasizing adaptability in fast-paced business landscapes. The research unfolds against the backdrop of agile inventory management advocacy, with key contributions including the centroid defuzzification method for crisp interpretation and the integration of linear regression for cost prediction. The study employs a real-life bakery scenario to demonstrate the efficacy of both crisp and fuzzy models, underscoring the latter's superiority in handling uncertainties. Comparative analysis reveals nuanced impacts of uncertainty on inventory decisions, while linear regression establishes statistical relationships for cost predictions. The findings underscore the pivotal role of fuzzy logic in optimizing inventory management, paving the way for future enhancements, advanced machine learning integration, and real-world validation. This research not only contributes to adaptive inventory management evolution but also sets the stage for further exploration and refinement in dynamic business landscapes.

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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Estimation of Project Performance Using Fuzzy Linear Regression (퍼지회귀분석을 이용한 프로젝트 성과예측)

  • Park, Young-Man;Park, Kwang-Bak
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.6
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    • pp.832-836
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    • 2008
  • Fuzzy regression model is used in evaluating relationship between the dependent and independent variables. If linguistic data are obtained, ordinary regression have limitation due to oversimplification of data. In this paper, fuzzy regression model with fuzzy input-output data for estimation of project performance is used.

A Study on the Support Vector Machine Based Fuzzy Time Series Model

  • Seok, Kyung-Ha
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.3
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    • pp.821-830
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    • 2006
  • This paper develops support vector based fuzzy linear and nonlinear regression models and applies it to forecasting the exchange rate. We use the result of Tanaka(1982, 1987) for crisp input and output. The model makes it possible to forecast the best and worst possible situation based on fewer than 50 observations. We show that the developed model is good through real data.

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The System Marginal Price Forecasting in the Power Market Using a Fuzzy Regression Method (퍼지 회귀분석법을 이용한 경쟁 전력시장에서의 현물가격 예측)

  • 송경빈
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.17 no.6
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    • pp.54-59
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    • 2003
  • This paper presents hourly system marginal price forecasting of the Korea electric power system using a fuzzy linear regression analysis method. The proposed method is tested by forecasting hourly system marginal price for a week of spring in 2002. The percent average of forecasting error for the proposed method is from 3.14% to 6.10% in the weekdays, from 7.04% to 8.22% in the weekends, and comparable with a artificial neural networks method.