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 Citations (Scopus)

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

Fingerprint

Spatial Model
Fuzzy sets
Fuzzy Sets
Covering
Pareto Set
Fuzzy Model
Exception
Predict
Alternatives

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 journalArticle

Mordeson, 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. In: Fuzzy Sets and Systems. 2011 ; Vol. 168, No. 1. pp. 89-101.
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