Cycling in fuzzy spatial models

Terry D. Clark; Jennifer M. Larson; John N. Mordeson; Joshua D. Potter; Mark J. Wierman

doi:10.1007/978-3-540-77461-7_7

Cycling in fuzzy spatial models

Terry D. Clark, Jennifer M. Larson, John N. Mordeson, Joshua D. Potter, Mark J. Wierman

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

As we discussed in the opening chapter of this volume, cycling is a persistent and troubling problem for formal models in comparative politics. While the problem is not as acute in single-dimensional problems as it is in multi-dimensional models, chapter five demonstrated that a fuzzy set theory approach can reduce the problem substantially in spatial models. In this concluding chapter we give consideration to the degree to which fuzzy spatial models are plagued by cycling. We argue that while the use of fuzzy math reduces the extent of the problem in a number of circumstance, it does not do away entirely with cycling. We conclude by identifying future avenues for research on this important topic.

Original language	English
Title of host publication	Applying Fuzzy Mathematics to Formal Models in Comparative Politics
Pages	169-182
Number of pages	14
Volume	225
DOIs	https://doi.org/10.1007/978-3-540-77461-7_7
State	Published - 2008

Publication series

Name	Studies in Fuzziness and Soft Computing
Volume	225
ISSN (Print)	14349922

Fingerprint

All Science Journal Classification (ASJC) codes

Computer Science (miscellaneous)
Computational Mathematics

Cite this

Clark, T. D., Larson, J. M., Mordeson, J. N., Potter, J. D., & Wierman, M. J. (2008). Cycling in fuzzy spatial models. In Applying Fuzzy Mathematics to Formal Models in Comparative Politics (Vol. 225, pp. 169-182). (Studies in Fuzziness and Soft Computing; Vol. 225). https://doi.org/10.1007/978-3-540-77461-7_7

@inbook{7b820934e72045c1a7f0fcfd5958f801,

title = "Cycling in fuzzy spatial models",

abstract = "As we discussed in the opening chapter of this volume, cycling is a persistent and troubling problem for formal models in comparative politics. While the problem is not as acute in single-dimensional problems as it is in multi-dimensional models, chapter five demonstrated that a fuzzy set theory approach can reduce the problem substantially in spatial models. In this concluding chapter we give consideration to the degree to which fuzzy spatial models are plagued by cycling. We argue that while the use of fuzzy math reduces the extent of the problem in a number of circumstance, it does not do away entirely with cycling. We conclude by identifying future avenues for research on this important topic.",

author = "Clark, {Terry D.} and Larson, {Jennifer M.} and Mordeson, {John N.} and Potter, {Joshua D.} and Wierman, {Mark J.}",

year = "2008",

doi = "10.1007/978-3-540-77461-7_7",

language = "English",

isbn = "9783540774600",

volume = "225",

series = "Studies in Fuzziness and Soft Computing",

pages = "169--182",

booktitle = "Applying Fuzzy Mathematics to Formal Models in Comparative Politics",

}

TY - CHAP

T1 - Cycling in fuzzy spatial models

AU - Clark, Terry D.

AU - Larson, Jennifer M.

AU - Mordeson, John N.

AU - Potter, Joshua D.

AU - Wierman, Mark J.

PY - 2008

Y1 - 2008

N2 - As we discussed in the opening chapter of this volume, cycling is a persistent and troubling problem for formal models in comparative politics. While the problem is not as acute in single-dimensional problems as it is in multi-dimensional models, chapter five demonstrated that a fuzzy set theory approach can reduce the problem substantially in spatial models. In this concluding chapter we give consideration to the degree to which fuzzy spatial models are plagued by cycling. We argue that while the use of fuzzy math reduces the extent of the problem in a number of circumstance, it does not do away entirely with cycling. We conclude by identifying future avenues for research on this important topic.

AB - As we discussed in the opening chapter of this volume, cycling is a persistent and troubling problem for formal models in comparative politics. While the problem is not as acute in single-dimensional problems as it is in multi-dimensional models, chapter five demonstrated that a fuzzy set theory approach can reduce the problem substantially in spatial models. In this concluding chapter we give consideration to the degree to which fuzzy spatial models are plagued by cycling. We argue that while the use of fuzzy math reduces the extent of the problem in a number of circumstance, it does not do away entirely with cycling. We conclude by identifying future avenues for research on this important topic.

UR - http://www.scopus.com/inward/record.url?scp=39049097794&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=39049097794&partnerID=8YFLogxK

U2 - 10.1007/978-3-540-77461-7_7

DO - 10.1007/978-3-540-77461-7_7

M3 - Chapter

AN - SCOPUS:39049097794

SN - 9783540774600

VL - 225

T3 - Studies in Fuzziness and Soft Computing

SP - 169

EP - 182

BT - Applying Fuzzy Mathematics to Formal Models in Comparative Politics

ER -

Access to Document

10.1007/978-3-540-77461-7_7