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

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...

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Veröffentlicht in:	Fuzzy sets and systems 2011-04, Vol.168 (1), p.89-101
Hauptverfasser:	Mordeson, John N., Clark, Terry D., Miller, Nicholas R., Casey, Peter C., Gibilisco, Michael B.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Circuit properties Combinatorics. Ordered structures Computer science control theory systems Covering Cycling Digital circuits Electric, optical and optoelectronic circuits Electronic circuits Electronics Exact sciences and technology Fuzzy Fuzzy logic Fuzzy preferences Fuzzy set theory Information, signal and communications theory Mathematical methods Mathematical models Mathematics Miscellaneous Order, lattices, ordered algebraic structures Pareto optimality Sciences and techniques of general use Social sciences Spatial models Telecommunications and information theory Theoretical computing Uncovered set
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Zusammenfassung:	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.
ISSN:	0165-0114 1872-6801
DOI:	10.1016/j.fss.2010.10.016