DATA ENVELOPMENT ANALYSIS WITH FUZZY RANDOM INPUTS AND OUTPUTS: A CHANCE-CONSTRAINED PROGRAMMING APPROACH

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RAMEZANZADEH S.; MEMARIYANI M.; SAATI SABER

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2005 | Volume:2 | Issue:2 Page(s): 21-29

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Title

DATA ENVELOPMENT ANALYSIS WITH FUZZY RANDOM INPUTS AND OUTPUTS: A CHANCE-CONSTRAINED PROGRAMMING APPROACH

Author(s)

RAMEZANZADEH S. | MEMARIYANI M. | SAATI SABER | Issue Writer Certificate

Keywords

DATA ENVELOPMENT ANALYSISQ3

CHANCE-CONSTRAINED DEAQ4

FUZZY RANDOM VARIABLEQ4

TRIANGULAR FUZZY NUMBERQ4

Abstract

In this paper, we deal with FUZZY RANDOM VARIABLEs for inputs and outputs in DATA ENVELOPMENT ANALYSIS (DEA). These variables are considered as fuzzy random flat LR numbers with known distribution. The problem is to find a method for converting the imprecise CHANCE-CONSTRAINED DEA model into a crisp one. This can be done by first, defuzzification of imprecise probability by constructing suitable membership function, second, defuzzification of the parameters which has been done using an ?-cut and finally, converting the CHANCE-CONSTRAINED DEA into a crisp model using the method of Cooper.

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APA: Copy

RAMEZANZADEH, S., MEMARIYANI, M., & SAATI, SABER. (2005). DATA ENVELOPMENT ANALYSIS WITH FUZZY RANDOM INPUTS AND OUTPUTS: A CHANCE-CONSTRAINED PROGRAMMING APPROACH. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2(2), 21-29. SID. https://sid.ir/paper/113413/en

Vancouver: Copy

RAMEZANZADEH S., MEMARIYANI M., SAATI SABER. DATA ENVELOPMENT ANALYSIS WITH FUZZY RANDOM INPUTS AND OUTPUTS: A CHANCE-CONSTRAINED PROGRAMMING APPROACH. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2005;2(2):21-29. Available from: https://sid.ir/paper/113413/en

IEEE: Copy

S. RAMEZANZADEH, M. MEMARIYANI, and SABER SAATI, “DATA ENVELOPMENT ANALYSIS WITH FUZZY RANDOM INPUTS AND OUTPUTS: A CHANCE-CONSTRAINED PROGRAMMING APPROACH,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 2, no. 2, pp. 21–29, 2005, [Online]. Available: https://sid.ir/paper/113413/en

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