Dimensionality reduction - A soft set-theoretic and soft graph approach

Due to the digitization of information, organizations have abundant data in databases. Large-scale data are equally important and complex hence gathering, storing, understanding, and analyzing data is a problem for organizations. To extract information from this superfluous data, the need for dime...

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Autores principales: Omdutt Sharma, Pratiksha Tiwari, Priti Gupta
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Lenguaje:EN
Publicado: Prince of Songkla University 2021
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spelling oai:doaj.org-article:eafde47fed1b4298acc24009ca212fc42021-11-07T16:44:10ZDimensionality reduction - A soft set-theoretic and soft graph approach10.14456/sjst-psu.2021.1400125-3395https://doaj.org/article/eafde47fed1b4298acc24009ca212fc42021-08-01T00:00:00Zhttps://rdo.psu.ac.th/sjstweb/journal/43-4/20.pdfhttps://doaj.org/toc/0125-3395Due to the digitization of information, organizations have abundant data in databases. Large-scale data are equally important and complex hence gathering, storing, understanding, and analyzing data is a problem for organizations. To extract information from this superfluous data, the need for dimensionality reduction increases. Soft set theory has been efficaciously applied and solved problems of dimensionality, which saves the cost of computation, reduces noise, and redundancy in data. Different methods and measures are developed by researchers for the reduction of dimensions, in which some are probabilistic, and some are non-probabilistic. In this paper, a non-probabilistic approach is developed by using soft set theory for dimensionality reduction. Further, an algorithm of dimensionality reduction through bipartite graphs is also described. Lastly, the proposed algorithm is applied to a case study, and a comparison of results indicates that the proposed algorithm is better than the existing algorithms. Omdutt SharmaPratiksha TiwariPriti GuptaPrince of Songkla Universityarticledimensionality reductionsoft setgrade membershipbinary-valued information systemsoft graphTechnologyTTechnology (General)T1-995ScienceQScience (General)Q1-390ENSongklanakarin Journal of Science and Technology (SJST), Vol 43, Iss 4, Pp 1063-1070 (2021)
institution DOAJ
collection DOAJ
language EN
topic dimensionality reduction
soft set
grade membership
binary-valued information system
soft graph
Technology
T
Technology (General)
T1-995
Science
Q
Science (General)
Q1-390
spellingShingle dimensionality reduction
soft set
grade membership
binary-valued information system
soft graph
Technology
T
Technology (General)
T1-995
Science
Q
Science (General)
Q1-390
Omdutt Sharma
Pratiksha Tiwari
Priti Gupta
Dimensionality reduction - A soft set-theoretic and soft graph approach
description Due to the digitization of information, organizations have abundant data in databases. Large-scale data are equally important and complex hence gathering, storing, understanding, and analyzing data is a problem for organizations. To extract information from this superfluous data, the need for dimensionality reduction increases. Soft set theory has been efficaciously applied and solved problems of dimensionality, which saves the cost of computation, reduces noise, and redundancy in data. Different methods and measures are developed by researchers for the reduction of dimensions, in which some are probabilistic, and some are non-probabilistic. In this paper, a non-probabilistic approach is developed by using soft set theory for dimensionality reduction. Further, an algorithm of dimensionality reduction through bipartite graphs is also described. Lastly, the proposed algorithm is applied to a case study, and a comparison of results indicates that the proposed algorithm is better than the existing algorithms.
format article
author Omdutt Sharma
Pratiksha Tiwari
Priti Gupta
author_facet Omdutt Sharma
Pratiksha Tiwari
Priti Gupta
author_sort Omdutt Sharma
title Dimensionality reduction - A soft set-theoretic and soft graph approach
title_short Dimensionality reduction - A soft set-theoretic and soft graph approach
title_full Dimensionality reduction - A soft set-theoretic and soft graph approach
title_fullStr Dimensionality reduction - A soft set-theoretic and soft graph approach
title_full_unstemmed Dimensionality reduction - A soft set-theoretic and soft graph approach
title_sort dimensionality reduction - a soft set-theoretic and soft graph approach
publisher Prince of Songkla University
publishDate 2021
url https://doaj.org/article/eafde47fed1b4298acc24009ca212fc4
work_keys_str_mv AT omduttsharma dimensionalityreductionasoftsettheoreticandsoftgraphapproach
AT pratikshatiwari dimensionalityreductionasoftsettheoreticandsoftgraphapproach
AT pritigupta dimensionalityreductionasoftsettheoreticandsoftgraphapproach
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