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

John N. Mordeson, Terry D. Clark, Nicholas R. Miller, Peter C. Casey, Michael B. Gibilisco

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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.

Original languageEnglish
Pages (from-to)89-101
Number of pages13
JournalFuzzy Sets and Systems
Issue number1
Publication statusPublished - Apr 1 2011


All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Logic

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