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

Article

DOI: 10.1007/s10700-009-9066-1

Cite this article as:
Wang, JH. & Hao, J. Fuzzy Optim Decis Making (2009) 8: 365. doi:10.1007/s10700-009-9066-1

Abstract

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.

Keywords

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

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of Industrial Engineering and ManagementCheng Sieu UniversityKaohsiungTaiwan, ROC
  2. 2.Department of Applied ScienceNaval AcademyKaohsiungTaiwan, ROC

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