BBTOPSIS - A BAG BASED TECHNIQUE FOR ORDER PREFERENCE BY SIMILARITY TO IDEAL SOLUTION

This contribution explores the way of accomplishing a TOPSIS ranking o f various submitted Variants taking into account (a) our newly-develop ed notions of variant superiority, inferiority and noninferiority mult iattribute canonical fuzzy bags defined on attributes and (b) making u se of bag metrics to compute the relative closeness of the different v ariants to an ideal solution. In particular, we prove the existence an d the uniqueness of a bag metric fulfilling a number of interesting pr operties.