On redundancy in multi criteria decision making |
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| Affiliation: | 1. Internal Vascular and Emergency Medicine and Stroke Unit, University of Perugia, Perugia, Italy;2. Statistics Division, Department of Economy, University of Perugia, Perugia, Italy;3. Division of Cardiology, S. Matteo Degli Infermi Hospital, Spoleto, Italy;4. Department of Medicine, Hospital of Assisi, Assisi, Italy;5. Emergency Medicine, S. Maria Delle Croci Hospital, Ravenna, Italy;1. Department of Paediatric Otorhinolaryngology, Faculty of Medicine, Masaryk University and University Hospital Brno, Czech Republic;2. Department of Pathology, University Hospital Ostrava, Czech Republic;3. Department of Pathology, Faculty of Medicine, University of Ostrava, Czech Republic;4. CGB laboratory, Ostrava, Vítkovice, Czech Republic;5. Nanotechnology centre, VŠB-Technical University of Ostrava, Czech Republic |
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| Abstract: | The concept of redundancy is accepted in Operations Research and Information Theory. In Linear Programming, a constraint is said to be redundant if the feasible decision space is identical with or without the constraint. In Information Theory, redundancy is used as a measure of the stability against noise in transmission. Analogies with Multi Criteria Decision Making (MCDM) are indicated and it is argued that the redundancy concept should be used as a regular feature in conditioning and analysis of Multi Criteria Programs. Properties of a proposed conflict-based characterisation are stated and some existence results are derived. Redundancy is here intended for interactive methods, when the efficient set is progressively explored. A new redundancy test for the linear case is formulated from the framework. A probabilistic method based on correlation is proposed and tested for the non-linear case. Finally, some general guidelines are given concerning the redundancy problem. |
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