A NEW MATHEMATICAL PROGRAMMING APPROACH IN FUZZY LINEAR REGRESSION MODELS

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RAZAGHNIA T.; PASHA E.A.

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Paper Information

Journal: JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY) Year:2009 | Volume:18 | Issue:70/2 (MATHEMATICS ISSUE) Page(s): 50-59

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Title

A NEW MATHEMATICAL PROGRAMMING APPROACH IN FUZZY LINEAR REGRESSION MODELS

Author(s)

RAZAGHNIA T. | PASHA E.A. | Issue Writer Certificate

Keywords

FUZZY DATAQ3

FUZZY LINEAR REGRESSIONQ3

FUZZY NUMBERSQ3

MATHEMATICAL PROGRAMMINGQ3

POSSIBILITYQ3

NECESSITYQ3

Abstract

In this paper, we introduce a new MATHEMATICAL PROGRAMMING approach to estimate the parameters of FUZZY LINEAR REGRESSION with crisp/fuzzy input and fuzzy output. The advantage of this approach is, both of dependent and independent variables are influenced on the objective function. Therefore, this model rectifies some problems about outliers. Also, in this paper we use POSSIBILITY function in constraints. To compare the performance of the proposed approach with previous methods, three examples are presented.

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APA: Copy

RAZAGHNIA, T., & PASHA, E.A.. (2009). A NEW MATHEMATICAL PROGRAMMING APPROACH IN FUZZY LINEAR REGRESSION MODELS. JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY), 18(70/2 (MATHEMATICS ISSUE)), 50-59. SID. https://sid.ir/paper/70591/en

Vancouver: Copy

RAZAGHNIA T., PASHA E.A.. A NEW MATHEMATICAL PROGRAMMING APPROACH IN FUZZY LINEAR REGRESSION MODELS. JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY)[Internet]. 2009;18(70/2 (MATHEMATICS ISSUE)):50-59. Available from: https://sid.ir/paper/70591/en

IEEE: Copy

T. RAZAGHNIA, and E.A. PASHA, “A NEW MATHEMATICAL PROGRAMMING APPROACH IN FUZZY LINEAR REGRESSION MODELS,” JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY), vol. 18, no. 70/2 (MATHEMATICS ISSUE), pp. 50–59, 2009, [Online]. Available: https://sid.ir/paper/70591/en

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