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 |
|---|---|
| Pages (from-to) | 89-101 |
| Number of pages | 13 |
| Journal | Fuzzy Sets and Systems |
| Volume | 168 |
| Issue number | 1 |
| DOIs | |
| State | Published - Apr 1 2011 |
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All Science Journal Classification (ASJC) codes
- Artificial Intelligence
- Logic
Cite this
The uncovered set and indifference in spatial models : A fuzzy set approach. / Mordeson, John N.; Clark, Terry D.; Miller, Nicholas R.; Casey, Peter C.; Gibilisco, Michael B.
In: Fuzzy Sets and Systems, Vol. 168, No. 1, 01.04.2011, p. 89-101.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - The uncovered set and indifference in spatial models
T2 - A fuzzy set approach
AU - Mordeson, John N.
AU - Clark, Terry D.
AU - Miller, Nicholas R.
AU - Casey, Peter C.
AU - Gibilisco, Michael B.
PY - 2011/4/1
Y1 - 2011/4/1
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=79551525395&partnerID=8YFLogxK
U2 - 10.1016/j.fss.2010.10.016
DO - 10.1016/j.fss.2010.10.016
M3 - Article
VL - 168
SP - 89
EP - 101
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
SN - 0165-0114
IS - 1
ER -