On the structure of generalized rough sets

Kondo, Michiro

doi:10.1016/j.ins.2005.01.001

Cited by 276 publications

(109 citation statements)

References 4 publications

(4 reference statements)

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“…In rough sets introduced by Pawlak, the key role is played by equivalence relations. In literature [5,15,22], several generalizations of rough sets have been made by replacing the equivalence relation by an arbitrary relation. After Dubois and Prade [3] introduced a fuzzy rough set, which is a generalization of a rough set, the relationship between fuzzy rough sets and fuzzy topological spaces were studied [1,14,20,21].…”

Section: Introductionmentioning

confidence: 99%

On the relationship among F-transform, fuzzy rough set and fuzzy topology

Perfilieva¹,

Singh²,

Tiwari³

2015

Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and

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The objective of this work is to associate the concepts of fuzzy rough sets and fuzzy topologies with fuzzy transform. It is shown here that the fuzzy transform can be viewed as fuzzy approximation operators studied in the operator-oriented view of fuzzy rough set theory and the use of fuzzy rough set results reduces efforts in proving fuzzy transform theoretic results. We present a glimpse that fuzzy topological results can also be used in similar fashion for fuzzy transform theoretical results.

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Section: Introductionmentioning

confidence: 99%

On the relationship among F-transform, fuzzy rough set and fuzzy topology

Perfilieva¹,

Singh²,

Tiwari³

2015

Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and

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“…We have proved that there exist similar properties and there exist different properties among the approximations raised from this paper and that studied from many authors [5,6,7,11,13,14,15,16,25,27,30]. We will investigate new applications of these tools using topological generalizations in a future paper.…”

Section: Discussionmentioning

confidence: 58%

Applications of Some Topological Near Open Sets to Knowledge Discovery

Salama¹,

Elbarbary²

2016

ijacsa

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“…Classical rough set theory then has been extended from equivalence relation to some other relations, such as similarity relation, tolerance relation and arbitrary binary relation (Zhu, 2007a;Liu & Zhu, 2008). Notably, classical rough set theory has also been extended to covering-based rough sets (Zhu, 2007b;Kondo, 2006).…”

Section: Deficiencies Of the Classical Rough Setmentioning

confidence: 99%

Port throughput influence factors based on neighborhood rough sets: An exploratory study

Cui¹,

Huang²,

Wang³

2015

JIEM

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Abstract:Purpose: The purpose of this paper is to devise an efficient method for the importance analysis on Port Throughput Influence Factors.Design/methodology/approach: Neighborhood rough sets is applied to solve the problem of selection factors. First the throughput index system is established. Then, we build the attribute reduction model using the updated numerical attribute to reduction algorithm based on neighborhood rough sets. We optimized the algorithm in order to achieve high efficiency performance. Finally, the article do empirical validation using Guangzhou Port throughput and influencing factors' historical data of year 2000 to 2013. Practical implications:The results provide support for port business investment, decisions and risk control, and also provide assistance for port enterprises' or other researchers' throughput forecasting.-1396-Journal of Industrial Engineering and Management -http://dx

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On the structure of generalized rough sets

Cited by 276 publications

References 4 publications

On the relationship among F-transform, fuzzy rough set and fuzzy topology

On the relationship among F-transform, fuzzy rough set and fuzzy topology

Applications of Some Topological Near Open Sets to Knowledge Discovery

Port throughput influence factors based on neighborhood rough sets: An exploratory study

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