Multicriteria Prioritization and Partial Order in Environmental Statistics

• Activity Number: 7
• Type: Invited
• Date/Time: Sunday, August 1, 2010 : 2:00 PM to 3:50 PM
• Sponsor: Environmental and Ecological Statistics
• Author(s): Rainer Brüggemann*+ and Ganapati P. Patil
• Companies: Leibniz Institute for Freshwater Ecology and Inland Fisheries and Penn State
• Keywords: ranking and prioritization with multiple indicators ; partial order modeling ; formal concept analysis ; linear orders with and without weighting schemes

Abstract

The complexity of the present data-centric world finds its expression in the increasing number of multiple indicator situations. This has led to the development of multicriteria ranking systems based on partial order. Partial order is a main pillar of structural mathematics. We show that partial order relations are important outcomes of data exploration and knowledge discovery. Partial order helps (1) reveal why an object of interest holds a certain ranking position and how much it is subject to change if a composite indicator is upgraded, (2) derive linear orders with and without weighting schemes, (3) discover logical implication structures in data matrices leading to formal concept lattices. New and innovative concepts, like partial order modeling, antagonistic indicators, stability fields and hot spots, network walks will be introduced in conjuction with live case studies.