AN INVESTIGATION INTO THE DISTRIBUTION OF MEMBERSHIP GRADES FOR NON-STATIONARY FUZZY SETS

Pragnesh A. Gajjar; Jonathan Garibaldi

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Paper

AN INVESTIGATION INTO THE DISTRIBUTION OF MEMBERSHIP GRADES FOR NON-STATIONARY FUZZY SETS

Topics: Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic; Type-2 Fuzzy Logic

In Proceedings of the International Joint Conference on Computational Intelligence - Volume 0IJCCI, 79-84, 2009 , Funchal - Madeira, Portugal

Authors: Pragnesh A. Gajjar and Jonathan Garibaldi

Affiliation: The University of Nottingham, United Kingdom

Keyword(s): Non-stationary fuzzy sets, Normal distribution, Probability density function.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Computational Intelligence ; Fuzzy Systems ; Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic ; Soft Computing ; Type-2 Fuzzy Logic

Abstract: In this paper we study some properties related to the distribution of membership grades for non-stationary fuzzy sets. We obtain the formulation for the distribution, where the non-stationary fuzzy sets are obtained by generating instantiations about the center values. The two cases considered are for Triangular and Gaussian underlying membership functions. The analytical results obtained are then compared with computer generated results, for completeness.

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Paper citation in several formats:

Gajjar, P. and Garibaldi, J. (2009). AN INVESTIGATION INTO THE DISTRIBUTION OF MEMBERSHIP GRADES FOR NON-STATIONARY FUZZY SETS. In Proceedings of the International Joint Conference on Computational Intelligence (IJCCI 2009) - ICFC; ISBN 978-989-674-014-6; ISSN 2184-3236, SciTePress, pages 79-84. DOI: 10.5220/0002321400790084

@conference{icfc09,
author={Pragnesh A. Gajjar. and Jonathan Garibaldi.},
title={AN INVESTIGATION INTO THE DISTRIBUTION OF MEMBERSHIP GRADES FOR NON-STATIONARY FUZZY SETS},
booktitle={Proceedings of the International Joint Conference on Computational Intelligence (IJCCI 2009) - ICFC},
year={2009},
pages={79-84},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002321400790084},
isbn={978-989-674-014-6},
issn={2184-3236},
}

TY - CONF

JO - Proceedings of the International Joint Conference on Computational Intelligence (IJCCI 2009) - ICFC
TI - AN INVESTIGATION INTO THE DISTRIBUTION OF MEMBERSHIP GRADES FOR NON-STATIONARY FUZZY SETS
SN - 978-989-674-014-6
IS - 2184-3236
AU - Gajjar, P.
AU - Garibaldi, J.
PY - 2009
SP - 79
EP - 84
DO - 10.5220/0002321400790084
PB - SciTePress