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Negative number/value plays an important role in expressing our preferences (i.e., temperature, economic growth, etc.). However, it has received different attention than positive references in the literature. On the other side, many of our decisions have a percentage of uncertainty and are often expressed as interval data. In this paper, the decision method used is the Simple Additive Weighting (SAW) method. This method was developed to be used when the data are of an interval nature. However, the conventional SAW method with interval data cannot deal with negative data. The critical question is, “What can we do when using the data set containing negative numbers in the SAW method with interval data”? This is the problem we wish to address in this chapter. Further, Salehi and Izadikhah (Decision Science Letters 3:225–236, 2014) extended the SAW technique using interval numbers. We use the Salehi and Izadikhah algorithm to calculate the alternative scores, but we change the procedure of calculating the conventional arithmetic operations to the arithmetic operations proposed by Yamanaka and Oishi (RIMS Kokyuroku Bessatsu B54:71–98, 2015). The results have demonstrated our model to be both robust and efficient.

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Incorporating Negative Values into the Simple Additive Weighting (SAW) Under Uncertain Conditions: An Applications in Project Manager Selection Problem

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  • 发表日期：

    2025年

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  • Mohammad Azadfallah

摘要

Negative number/value plays an important role in expressing our preferences (i.e., temperature, economic growth, etc.). However, it has received different attention than positive references in the literature. On the other side, many of our decisions have a percentage of uncertainty and are often expressed as interval data. In this paper, the decision method used is the Simple Additive Weighting (SAW) method. This method was developed to be used when the data are of an interval nature. However, the conventional SAW method with interval data cannot deal with negative data. The critical question is, “What can we do when using the data set containing negative numbers in the SAW method with interval data”? This is the problem we wish to address in this chapter. Further, Salehi and Izadikhah (Decision Science Letters 3:225–236, 2014) extended the SAW technique using interval numbers. We use the Salehi and Izadikhah algorithm to calculate the alternative scores, but we change the procedure of calculating the conventional arithmetic operations to the arithmetic operations proposed by Yamanaka and Oishi (RIMS Kokyuroku Bessatsu B54:71–98, 2015). The results have demonstrated our model to be both robust and efficient.