An approach to aggregation of ordinal information in multi-criteria multi-person decision making using Choquet integral of Fubini type

作者：Wang Jin Hsien; Hao Jongyun^*

来源：Fuzzy Optimization and Decision Making, 2009, 8(4): 365-380.

DOI：10.1007/s10700-009-9066-1

• Multi-criteria multi-person decision making
• Ordered weighted averaging (OWA)
• Anchoring value-based ordered weighted averaging (AV-OWA)
• Choquet integral

An algorithm for the selection among n alternatives based on the evaluation of n (distinct) groups of persons according to the same m criteria is described. The evaluation of each person for each criterion is represented by a proportional ordinal 2-tuple and the overall opinion is aggregated by a pair of quantifier-guided ordered weighted averaging (OWA) aggregation and (floating) anchoring value-based ordered weighted averaging (AV-OWA) aggregation operators. An example is provided to illustrate the algorithm. The decision function of the algorithm is shown to be a Choquet integral of the associated function of two variables (corresponding to the two aggregation processes in the algorithm) which can be accomplished alternatively by a Choquet integral of Fubini type.

• 出版日期2009-12
• 单位中国人民解放军海军大连舰艇学院