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41 results on '"Xie, Ningxin"'

26. Measures of uncertainty for a fuzzy probabilistic approximation space.

Author

Chen, Lijun, Luo, Damei, Wang, Pei, Li, Zhaowen, and Xie, Ningxin

Subjects
ROUGH sets, PROBABILITY theory, SET theory, FUZZY measure theory, DISTRIBUTION (Probability theory), FUZZY sets
Abstract

An approximation space (A-space) is the base of rough set theory and a fuzzy approximation space (FA-space) can be seen as an A-space under the fuzzy environment. A fuzzy probability approximation space (FPA-space) is obtained by putting probability distribution into an FA-space. In this way, it combines three types of uncertainty (i.e., fuzziness, probability and roughness). This article is devoted to measuring the uncertainty for an FPA-space. A fuzzy relation matrix is first proposed by introducing the probability into a given fuzzy relation matrix, and on this basis, it is expanded to an FA-space. Then, granularity measurement for an FPA-space is investigated. Next, information entropy measurement and rough entropy measurement for an FPA-space are proposed. Moreover, information amount in an FPA-space is considered. Finally, a numerical example is given to verify the feasibility of the proposed measures, and the effectiveness analysis is carried out from the point of view of statistics. Since three types of important theories (i.e., fuzzy set theory, probability theory and rough set theory) are clustered in an FPA-space, the obtained results may be useful for dealing with practice problems with a sort of uncertainty. [ABSTRACT FROM AUTHOR]

Published
2022
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39. An approximate factorization of multivariate polynomials using improved PSO

Author

Zhou Yangquan and Xie Ningxin

Subjects
Mathematical optimization, Generalization, Computer Science::Neural and Evolutionary Computation, MathematicsofComputing_NUMERICALANALYSIS, Particle swarm optimization, Order (ring theory), Approximation algorithm, Multivariate polynomials, ComputingMethodologies_ARTIFICIALINTELLIGENCE, Factorization, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, Applied mathematics, Multi-swarm optimization, Mathematics, Premature convergence
Abstract

In order to avoid the premature convergence of the Particle Swarm Optimization (PSO) algorithm, a modified PSO algorithm is proposed. As an example, the improved algorithm is used for an approximate factorization of multivariate polynomials and the experiment result has proved its efficiency. The method in this paper may be as certain generalization of an precise factorization of multivariate polynomials.

Published
2012

41. An approximate factorization of multivariate polynomials using improved PSO.

Author

Xie Ningxin and Zhou Yangquan

Abstract

In order to avoid the premature convergence of the Particle Swarm Optimization (PSO) algorithm, a modified PSO algorithm is proposed. As an example, the improved algorithm is used for an approximate factorization of multivariate polynomials and the experiment result has proved its efficiency. The method in this paper may be as certain generalization of an precise factorization of multivariate polynomials. [ABSTRACT FROM PUBLISHER]

Published
2012
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