Apichat Sopadang: MADM - Scoring Method 1 SCORING METHODS Management Science Multiple Attribute Decision Making By Dr. Apichat Sopadang Apichat Sopadan g: MADM - Scoring Method 2 Scoring Methods Transformation of a vector to an appropriate scalar value Formulate an index to represent its effectiveness => wind-chill factor, graduate school admission index Two scoring techniques: The Simple Additive Weighting method (SAW) and the Weighted Product method Apichat Sopadang: MADM - Scoring Method 3 Simple Additive Weighting (SAW) Method Best know and most widely used method Uses all n attribute values of a n alternative and uses the regular arithmetical operations of multiplication and addition The attribute values must be both numerical and comparable ∑ = = = n j ij j i m i rw V1 ,..., 1 , Apichat Sopadan g: MADM - Scoring Method 4 SAW, Cont.
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Outrank relationship A1($13000, 18MPG), A2($16000, 21MPG) and
A3($18000, 25MPG) => nondominate
(A1 R A2) and (A2 R A3) but not imply that (A1 R A3)
Pairwise comparison
It examines both the degree to which the preferenceweights are in agreement with pairwise dominancerelationships and the degree to which weightedevaluations differ from each other
Apichat Sopadang: MADM - ScoringMethod 19
Outrank Relationship
Apichat Sopadang: MADM - ScoringMethod 20
Procedure of ELECTRE.
1. Calculate the normalized decision matrix2. Calculate the weighted normalized decision