Double-faced rough sets and rough communication

Mousavi, Amin; Jabedar-Maralani, Parviz

doi:10.1016/s0020-0255(02)00275-x

Cited by 25 publications

(18 citation statements)

References 2 publications

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“…Similar to [28], we adopt the set-oriented interpretation of rough sets [20,28,30,32,36,46,47,51,52] and define a rough set as a pair of definable sets.…”

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

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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“…Similar to [28], we adopt the set-oriented interpretation of rough sets [20,28,30,32,36,46,47,51,52] and define a rough set as a pair of definable sets.…”

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

confidence: 99%

Grey sets and greyness

Yang

John

2012

Information Sciences

109

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“…The objects in the set of the B-upper approximation are possible members of X. In this paper, we adopt the set-oriented interpretation of rough sets [19,26,29,47,50] and define a rough set as a pair of definable sets [19].…”

Section: Basic Definitionsmentioning

confidence: 99%

“…A comprehensive review was given by Yao in [50]. Here, we adopt the Iwinsky type set-oriented rough sets [19], although there are other similar definitions of set-oriented rough sets, such as the P-rough sets defined by Pawlak [29,50] and the disjoint pair [26].…”

Section: Basic Definitionsmentioning

confidence: 99%

A new extension of fuzzy sets using rough sets: R-fuzzy sets

Yang

Hinde

2010

Information Sciences

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• This is the author's version of a work that was accepted for publication in the journal Information Sciences. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published at:

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“…In this paper, similar to [9], we adopt the set-oriented interpretation of rough sets [6,9,12,19] and define a rough set as a pair of disjoint sets.…”

Section: Set-oriented Rough Set Interpretation and Its Operationsmentioning

confidence: 99%