2010
DOI: 10.1109/tsmcb.2009.2028433
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Fuzzy–Rough Sets for Information Measures and Selection of Relevant Genes From Microarray Data

Abstract: Several information measures such as entropy, mutual information, and f-information have been shown to be successful for selecting a set of relevant and nonredundant genes from a high-dimensional microarray data set. However, for continuous gene expression values, it is very difficult to find the true density functions and to perform the integrations required to compute different information measures. In this regard, the concept of the fuzzy equivalence partition matrix is presented to approximate the true mar… Show more

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Cited by 83 publications
(44 citation statements)
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“…In recent decades, rough sets and fuzzy-rough sets theories have been employed in various application areas such as data mining [4,5,86,[301][302][303], software packages [141,304], web ontology [138,[305][306][307], pattern recognition [24,148,187,[308][309][310], granular computing [38,221,238,251], genetic algorithm [310][311][312][313], prototype selection [145,163], solid transportation [146,314,315], social networks [316][317][318], artificial neural network [92,153,319], remote sensing [320,321], and gene selection [158,[322][323][324]]. An et al [140] analysed a regression algorithm based on fuzzy partition, fuzzy-rough sets, estimation of regression values, and fuzzy approximation for estimating wind speed.…”
Section: Distribution Of Papers Based On Other Application Areasmentioning
confidence: 99%
See 1 more Smart Citation
“…In recent decades, rough sets and fuzzy-rough sets theories have been employed in various application areas such as data mining [4,5,86,[301][302][303], software packages [141,304], web ontology [138,[305][306][307], pattern recognition [24,148,187,[308][309][310], granular computing [38,221,238,251], genetic algorithm [310][311][312][313], prototype selection [145,163], solid transportation [146,314,315], social networks [316][317][318], artificial neural network [92,153,319], remote sensing [320,321], and gene selection [158,[322][323][324]]. An et al [140] analysed a regression algorithm based on fuzzy partition, fuzzy-rough sets, estimation of regression values, and fuzzy approximation for estimating wind speed.…”
Section: Distribution Of Papers Based On Other Application Areasmentioning
confidence: 99%
“…Zhao et al [157] developed a rulebased classifier fuzzy-rough using one generalised fuzzyrough set model to introduce a novel idea which was called consistence degree. Maji and Pal [158] presented a new fuzzy equivalence partition matrix for approximating the true marginal and joint distributions of continuous gene expression values. Huang and Kuo [159] investigated two perspectives of cross-lingual semantic document similarity measures based on the fuzzy sets and rough sets which were named formulation of similarity measures and document representation.…”
Section: Distribution Of Papers Based On Other Application Areasmentioning
confidence: 99%
“…Pradipta Maji et al [23] has discussed that the use of many information measures like entropy, mutual information, and finformation has been proved to be successful for choosing a set of relevant and non redundant genes from a high-dimensional micro array data set. But determining the true density functions and carrying out the integrations necessary to calculate diverse information measures is extremely difficult for continuous gene expression values Consequently, the true marginal and joint distributions of continuous gene expression values have been approximated by introducing the concept of the fuzzy equivalence partition matrix.…”
Section: Related Workmentioning
confidence: 99%
“…When we perform attribute reduction using RST, the main goal is to find the minimum attribute set and induce minimal length decision rules inherent in the information system with affordable algorithmic complexity and computational cost [4][5] [6]. So, it usually refers to the preferred technique for data preprocessing in data mining and knowledge discovery [7]- [11].…”
Section: Introductionmentioning
confidence: 99%