TY - GEN
T1 - An investigation into the distribution of membership grades for non-stationary fuzzy sets
AU - Gajjar, Pragnesh A.
AU - Garibaldi, Jonathan M.
N1 - Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
KW - Non-stationary fuzzy sets
KW - Normal distribution
KW - Probability density function
UR - http://www.scopus.com/inward/record.url?scp=77955455732&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:77955455732
SN - 9789896740146
T3 - IJCCI 2009 - International Joint Conference on Computational Intelligence, Proceedings
SP - 79
EP - 84
BT - IJCCI 2009 - International Joint Conference on Computational Intelligence, Proceedings
T2 - 1st International Joint Conference on Computational Intelligence, IJCCI 2009
Y2 - 5 October 2009 through 7 October 2009
ER -