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Published April 1, 2011 | public
Journal Article

The uncovered set and indifference in spatial models: A fuzzy set approach

Abstract

The uncovered set was developed in order to predict outcomes when spatial models result in an empty core. In contrast to conventional approaches, fuzzy spatial models induce a substantial degree of individual and collective indifference over alternatives. Hence, existing definitions of the covering relationship return differing results. We develop a definition for a fuzzy covering relation. Our definition results in an uncovered set that is, in most cases, contained within the Pareto set. We conclude by characterizing the exceptions.

Additional Information

© 2010 Elsevier B.V. Received 24 June 2009, Revised 25 October 2010, Accepted 26 October 2010, Available online 9 November 2010.

Additional details

Created:
August 22, 2023
Modified:
October 18, 2023