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A Systematic Approach to Optimizing Value for Fuzzy Linear Regression with Symmetric Triangular Fuzzy Numbers

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  • Xilong Liu
  • Yizeng Chen

Abstract

A systematic approach is proposed to optimize value for fuzzy linear regression (FLR) analysis using minimum fuzziness criteria with symmetric triangular fuzzy numbers (TFNs). Firstly, a new concept of credibility is defined to evaluate the performance of FLR models with different values when a set of sample data pairs is given. Secondly, based on the defined concept of credibility, a programming model is formulated to optimize the value of . Finally, both the numerical study and the real application show that the approach proposed in this paper is effective and efficient; that is, optimal value for can be determined definitely with respect to a set of given sample data pairs.

Suggested Citation

  • Xilong Liu & Yizeng Chen, 2013. "A Systematic Approach to Optimizing Value for Fuzzy Linear Regression with Symmetric Triangular Fuzzy Numbers," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, December.
    • Handle: RePEc:hin:jnlmpe:210164
    DOI: 10.1155/2013/210164
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    Cited by:

    1. Maryam Al-Kandari & Kingsley Adjenughwure & Kyriakos Papadopoulos, 2020. "A Fuzzy-Statistical Tolerance Interval from Residuals of Crisp Linear Regression Models," Mathematics, MDPI, vol. 8(9), pages 1-10, August.
    2. Sandylove Afrane & Jeffrey Dankwa Ampah & Ephraim Bonah Agyekum & Prince Oppong Amoh & Abdulfatah Abdu Yusuf & Islam Md Rizwanul Fattah & Ebenezer Agbozo & Elmazeg Elgamli & Mokhtar Shouran & Guozhu M, 2022. "Integrated AHP-TOPSIS under a Fuzzy Environment for the Selection of Waste-To-Energy Technologies in Ghana: A Performance Analysis and Socio-Enviro-Economic Feasibility Study," IJERPH, MDPI, vol. 19(14), pages 1-31, July.
    3. Asante, Dennis & Ampah, Jeffrey Dankwa & Afrane, Sandylove & Adjei-Darko, Peter & Asante, Bismark & Fosu, Edward & Dankwah, Dennis Ampah & Amoh, Prince Oppong, 2022. "Prioritizing strategies to eliminate barriers to renewable energy adoption and development in Ghana: A CRITIC-fuzzy TOPSIS approach," Renewable Energy, Elsevier, vol. 195(C), pages 47-65.
    4. R. N. Ossei-Bremang & F. Kemausuor, 2021. "A decision support system for the selection of sustainable biomass resources for bioenergy production," Environment Systems and Decisions, Springer, vol. 41(3), pages 437-454, September.
    5. Ahmed Alhindi & Meng-Sang Chew, 2024. "Dimensional Synthesis of the Compliant Mechanism Using the Parametric Fuzzy Form of the Freudenstein Equation," Mathematics, MDPI, vol. 12(20), pages 1-27, October.

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