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

Research output: Contribution to journalArticle

6 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)89-101
Number of pages13
JournalFuzzy Sets and Systems
Volume168
Issue number1
DOIs
StatePublished - Apr 1 2011

All Science Journal Classification (ASJC) codes

  • Logic
  • Artificial Intelligence

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