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

doi:10.1016/j.fss.2010.10.016

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

Department of Political Science and International Relations

Research output: Contribution to journal › Article

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 language	English (US)
Pages (from-to)	89-101
Number of pages	13
Journal	Fuzzy Sets and Systems
Volume	168
Issue number	1
DOIs	https://doi.org/10.1016/j.fss.2010.10.016
State	Published - Apr 1 2011

All Science Journal Classification (ASJC) codes

Logic
Artificial Intelligence

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Mordeson, J. N., Clark, T. D., Miller, N. R., Casey, P. C., & Gibilisco, M. B. (2011). The uncovered set and indifference in spatial models: A fuzzy set approach. Fuzzy Sets and Systems, 168(1), 89-101. https://doi.org/10.1016/j.fss.2010.10.016

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