Testing the Consistency of Subjective Weights in Goal Programming – the Analytical Hierarchy Process Approach

T. Ganesh^1, and PRS Reddy^2,

¹Department of Food Science and Technology, Pondicherry University, Puducherry, India

²Department of Statistics, Sri Venkateswara University, Tirupati, India

Cite this paper:
T. Ganesh and PRS Reddy. Testing the Consistency of Subjective Weights in Goal Programming – the Analytical Hierarchy Process Approach. American Journal of Applied Mathematics and Statistics. 2014; 2(3):92-95. doi: 10.12691/ajams-2-3-2

Abstract

In the context of multi-criteria decision making every individual will act as a decision maker. The decision maker is involved in assigning preferences or weights to the alternatives. Goal programming will also come under the hub of MCDA, where the DM will assign the subjective weights to each goal. By giving so, the weighted sum of deviations will be minimized to some extent but one cannot ascertain whether the weights are consistent or not. In this paper the authors have proposed a simpler way of testing the consistency of weights and demonstrated an easier way to achieve the minimized weighted sum of deviations through AHP. This attempt showed better results and allows the DM to think well before giving the weights to each goal.

Keywords:
multi-criteria decision making analytical hierarchy process consistency

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