Mordeson, John N.Clark, Terry D.Miller, Nicholas R.Casey, Peter C.Gibilisco, Michael B.2021-02-052021-02-052010-11-09Mordeson, John N.; Clark, Terry D.; Miller, Nicholas R.; Casey, Peter C.; Gibilisco, Michael B.; The uncovered set and indifference in spatial models: A fuzzy set approach; Fuzzy Sets and Systems, Volume 168, Issue 1, Pages 89-101 (2010); https://www.sciencedirect.com/science/article/abs/pii/S0165011410004471#!https://doi.org/10.1016/j.fss.2010.10.016http://hdl.handle.net/11603/20950The 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.31 pagesen-USThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.© 2010 Elsevier B.V. All rights reserved.Text