2010Kongzhi yu jueceRequires access

Relative entropy evaluation method for multiple attribute decision making

Liu Bei-shang

Open publisher page 28 citations

Abstract

To overcome the shortcomings of the technique for order preferenceby similarity to ideal(TOPSIS),this paper presents a new method to solve the problem in the multiple attribute decision making based on relative entropy. By using the relative entropy between an alternative and the ideal solution,and between the alternative and the negative-ideal solution,a new relative closeness to the ideal solutions is defined. Therefore,a new synthetically evaluation method-relative entropy evaluation method is developed. This method is compared with TOPSIS method,angle measure evaluation method and project method,which indicates that the relative entropy evaluation method can get good results when other methods all fail.

About this research paper

What this paper is about

To overcome the shortcomings of the technique for order preferenceby similarity to ideal(TOPSIS),this paper presents a new method to solve the problem in the multiple attribute decision making based on relative entropy. By using the relative entropy between an alternative and the ideal solution,and between the alternative and the negative-ideal solution,a new relative closeness to the ideal solutions is defined. Therefore,a new synthetically evaluation method-relative entropy evaluation method is developed. This method is compared with TOPSIS method,angle measure evaluation method and project method,which indicates that the relative entropy evaluation method can get good results when other methods all fail.

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OpenAlex reports 28 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

To overcome the shortcomings of the technique for order preferenceby similarity to ideal(TOPSIS),this paper presents a new method to solve the problem in the multiple attribute decision making based on relative entropy. By using the relative entropy between an alternative and the ideal solution,and between the alternative and the negative-ideal solution,a new relative closeness to the ideal solutions is defined. Therefore,a new synthetically evaluation method-relative entropy evaluation method is developed. This method is compared with TOPSIS method,angle measure evaluation method and project method,which indicates that the relative entropy evaluation method can get good results when other methods all fail.

Key concepts: TOPSIS, Ideal solution, Closeness, Entropy (arrow of time), Kullback–Leibler divergence, Mathematics, Mathematical optimization, Computer science

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