A grey-based rough approximation model for interval data processing

Yamaguchi, Daisuke; Li, Guodong; Nagai, Masao

doi:10.1016/j.ins.2007.05.022

Cited by 75 publications

(33 citation statements)

References 33 publications

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“…The second type contains four categories based on the model of grey information system and their attribute analysis and application, integration of grey system theory and rough set model [12][13][14], etc.…”

Section: Literature Reviewmentioning

confidence: 99%

Assessment on the Cohesion Pattern of Rail Transit: Integration of Rough Set and Grey Correlation Theory

2016

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Abstract. Most existing project assessment relies on expert scoring, whose precision can be deteriorated by personal subjectivity. This paper presents an assessment method to compare the advantages and disadvantages of three cohesion patterns between suburban and urban rail transit network, which reduces the influence of subjective score. A modified rough set -grey correlation model is developed as a core of this assessment, based on the integration of rough set theory and grey correlational analysis, where an index system is set up for model calculation. A case study using the network in Ningbo is applied to demonstrate the effectiveness of the method, the results show that the method is more effective using discretely distributed data sensitive to sample size. The consistency of the results in comparison with marginal cost analysis can be a preliminary verification of the model.

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Section: Literature Reviewmentioning

confidence: 99%

Assessment on the Cohesion Pattern of Rail Transit: Integration of Rough Set and Grey Correlation Theory

2016

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“…Due to the adoption of interval representation for grey numbers, however, grey sets have been considered the same as interval-valued fuzzy sets [15,16]. Some recent publications have reported work on the combination of grey sets with rough sets [40,42]. However, in their work, grey sets are still defined using interval grey numbers which makes them equivalent to interval-valued fuzzy sets.…”

Section: A Fuzzy Set With Interval Values As Its Membership Values Ismentioning

confidence: 99%

“…Grey numbers and intervals have some similarity and grey sets are considered to be the same as interval-valued fuzzy sets [15]. With the increasing applications of grey systems, the combination of grey sets with fuzzy sets and rough sets have been investigated recently [40,42]. However, all these research works considered grey sets using interval grey numbers only, and such a restriction makes grey sets and interval-valued fuzzy sets equivalent.…”

Section: Introductionmentioning

confidence: 99%

Grey sets and greyness

Yang

John

2012

Information Sciences

109

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This paper discusses the application of grey numbers for uncertainty representation. It highlights the difference between grey sets and interval-valued fuzzy sets, and investigates the degree of greyness for grey sets. It facilitates the representation of uncertainty not only for elements of a set, but also the set itself as a whole. Our results show that a grey set could be specified for interval-valued fuzzy sets or rough sets under special conditions. With the notion of grey sets and their associated degrees of greyness, various set operations between grey sets are discussed.

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“…The results can be easily related to interval sets and interval fuzzy sets [52]. Yamaguchi et al [38] proposed the notion of grey-rough sets based on interval-valued attributes and compared it with other definitions of rough sets and interval sets. Oukbir [21] examined the connections between rough sets and interval sets and considered their potential applications in spatial information systems.…”

Section: Studies Related To Interval Setsmentioning

confidence: 99%

Interval sets and interval-set algebras

Yao

2009

2009 8th IEEE International Conference on Cognitive Informatics

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An interval set is an interval in the power set lattice based on a universal set and is a family of subsets of the universal set. Interval sets and interval-set algebras provide a tool for modeling and processing partially known concepts and for approximating undefinable or complex concepts. Existing results on interval sets and interval-set algebras are reviewed and new results are given. Two types of interval-set algebras are examined based on an inclusion ordering and a knowledge ordering, respectively. Related studies are summarized.

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A grey-based rough approximation model for interval data processing

Cited by 75 publications

References 33 publications

Assessment on the Cohesion Pattern of Rail Transit: Integration of Rough Set and Grey Correlation Theory

Assessment on the Cohesion Pattern of Rail Transit: Integration of Rough Set and Grey Correlation Theory

Grey sets and greyness

Interval sets and interval-set algebras

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