Description Usage Arguments Details Value References Examples
This function is indifferent as to where it is a cost_ids or not, since the same formula works for both. It does have a limitation, i.e. if on a single attribute, there are simultaneously negative and positive values, in details?
1 | normalize.sum(aMatrix)
|
aMatrix |
|
aMatrix |
a numeric (decision) matrix - if matrix has only one row, then all values will be normalized to 1 even if the initial value is 0. |
Note: this function has one important limitation, if within a same
attribute there are negative and positive values, the function will likely
produce a NaN
.
This functions uses the same equation to normalize benefit and cost
type attributes. It returns values between 0 and 1, with the only
limitation that when an attribute has both negative and positive values, it
may return a NaN
.
a normalized matrix
[1]Lotfi, F. H., and Fallahnejad, R. (2010). Imprecise Shannons entropy and multi attribute decision making. Entropy, 12(1), 53-62.
[2] Fan, Z. P. (1996). Complicated multiple attribute decision making: theory and applications (Doctoral dissertation, Ph. D. Dissertation, North-eastern University, Shenyang, PRC).
[2] Hwang, C. L., & Yoon, K. (2012). Multiple attribute decision making: methods and applications a state-of-the-art survey (Vol. 186). Springer Science & Business Media.
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