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In the current research, two forms of significance coefficient of attributes are demonstrated: the subjective significance coefficient which is already demonstrated i.e., based on expert judgments, and the objective significance coefficient which is obtained through Shannon's entropy.
Significance coefficient or importance weight of attributes can be added to the ratio system.
In the present paper, we designate two forms of weight as significance coefficient of attributes.
Significance coefficient (w_{j}) is assumed to attach relative importance for each attribute.
The subjective significance coefficient is obtained directly from decision makers opinions.
By replacing the subjective significance coefficient ( {w}_j^s ) with the combination of subjective significance coefficient with Shannon's entropy ( {w}_j^{ast } ) the extended ratio system method is calculated by Eq. (17).
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In the present study, subjective significance coefficients were considered, and objective significance coefficients were determined based on Shannon entropy.
Subjective significance coefficients may be computed by applying various methods such as ANP, AHP, and BWM.
Therefore TOPSIS introduces Significance Coefficients, called wrongly weights (Hwang and Yoon 1981).
The significance coefficients of attributes fulfill (sumnolimits_{j; = ;1}^{n} {w_{j} ; = 1}).
Third, significance coefficients of attributes may be achieved using various techniques.
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