ABSTRACT

The SIR method [1] is a generalization of the illustration of superiority and inferiority scores introduced by Rebai [2, 3]. Superiority and inferiority scores are estimated while measuring the difference in the criteria (response) values to calculate the degree of preference for alternative x over alternative x´. For instance, the scores for ordinal values can be estimated for two alternatives x and x´ related to a criterion c (for maximization problem) while employing the following preference framework {P, I}: https://www.w3.org/1998/Math/MathML"> x P x ′ ( x   i s   p r e f e r r e d   t o   x ′ )   i f f   c ( x ) > c ( x ′ ) x I x ′ ( x   i s   i n d i f f e r e n t   t o   x ′ )   i f f   c ( x ) = c ( x ′ ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003377030/d9605bd9-7b4d-4c40-a5a9-8fc61b88ce2e/content/math237_1_B.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>