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Using interval arithmetic for providing a MADM approach

Document Type : Research Paper

Authors

1 Young Researchers and Elite Club, Arak Branch, Islamic Azad University, Arak, Iran.

2 Department of Industrial Engineering, Islamic Azad University of Arak, Arak, Iran.

Abstract

The VIKOR method was developed for Multi-Criteria Decision Making (MCDM). It determines the compromise ranking list and the compromise solution obtained with the initial weights. This method focuses on ranking and selecting from a set of alternatives in the presence of conflicting criteria. It introduces the multi-criteria ranking index based on the particular measure of ‘‘closeness” to the “Ideal” solution. The aim of this paper is to extend the VIKOR method for decision making problems with interval number. The extended VIKOR method’s ranking is obtained through comparison of interval numbers and for doing the comparisons between intervals. In the end, a numerical example illustrates and clarifies the main results developed in this paper.

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References
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Journal of Fuzzy Extension and Applications
Volume 1, Issue 1
March 2020
Pages 57-65
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