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Allen, C.R., Gunderson, L.H. and Holling, C.S. (2010) Commentary on Part Three Articles. In: Gunderson, L.H., Allen, C.R. and Holling, C.S., Eds., Foundations of Ecological Resilience, Island Press, Washington DC, 301-307.

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• TITLE: Discussing an Expected Utility and Weighted Entropy Framework

  AUTHORS: José Pinto Casquilho

  KEYWORDS: Mosaic Composition, Expected Utility, Weighted Entropy, Mean Contributive Value

  JOURNAL NAME: Natural Science, Vol.6 No.7, April 25, 2014

  ABSTRACT: In this paper, it is discussed a framework combining traditional expected utility and weighted entropy (EU-WE)—also named mean contributive value index—which may be conceived as a decision aiding procedure, or a heuristic device generating compositional scenarios, based on information theory concepts, namely weighted entropy. New proofs concerning the maximum value of the index and the evaluation of optimal proportions are outlined, with emphasis on the optimal value of the Lagrange multiplier and its meaning. The rationale is a procedure of maximizing the combined value of a system expressed as a mosaic, denoted by characteristic values of the states and their proportions. Other perspectives of application of this EU-WE framework are suggested.