Estimate Output of a Production Unit in Production Possibility Set with Fuzzy Inference Mechanism

Subject Areas : International Journal of Data Envelopment Analysis

Mohamad Adabitabar firozja ¹ , Mohamad Adabi firozjaei ² , Mousa Eslamian ³

1 - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
2 - Department of Management , Babol Branch, Islamic Azad University, Babol, Iran.
3 - Phd Student of Management, Semnan Branch, Islamic Azad Universal University, Semnan, Iran.

Received: 2017-01-24 Accepted : 2017-01-24 Published : 2016-05-01

Keywords: Production possibility set, Fuzzy number, Fuzzy Inference,

Abstract :

In this paper, we consider the production possibility set with n production units such that the following four principles that governs: inclusion observations, conceivability, immensity and convexity. Our goal is to estimate the output of a same and new production unit with existing production possibility and amount of input is specified. So, initially we find the interval changes of each inputs and outputs and then partitioning each interval with fuzzy numbers. We use each of the possible to produce with specific inputs and outputs the fuzzy if-then rules and estimate the amount of outputs with mamdany method in fuzzy inference mechanism. In the end, we present an example of implementation.

References:

[1] S. Abbasbandy, M. Adabitabar Firozja, Fuzzy linguistic model for interpolation, Chaos, Solitons and Fractals 34 (2007) 551- 556.

[2] M. Adabitabar Firozja, G.H. Fath-Tabar, Z. Eslampia, The similarity measure of generalized fuzzy numbers based on interval distance, Applied Mathematics Letters 25 (2012) 1528-1534.

[3] T. Allahviranloo, F. Hosseinzadeh lotfi and M. Adabitabar firozja, Efficiency in fuzzy production possibility set, Iranian Journal of Fuzzy Systems Vol. 9, No. 4, (2012) pp. 17- 30.