Approximation Set of the Interval Set in Pawlak's Space

المؤلفون المشاركون

Hu, Feng
Wang, Jin
Zhang, Qinghua
Wang, Guoyin

المصدر

The Scientific World Journal

العدد

المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-12، 12ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2014-08-11

دولة النشر

مصر

عدد الصفحات

12

التخصصات الرئيسية

الطب البشري
تكنولوجيا المعلومات وعلم الحاسوب

الملخص EN

The interval set is a special set, which describes uncertainty of an uncertain concept or set Z with its two crisp boundaries named upper-bound set and lower-bound set.

In this paper, the concept of similarity degree between two interval sets is defined at first, and then the similarity degrees between an interval set and its two approximations (i.e., upper approximation set R ¯ ( Z ) and lower approximation set R _ ( Z )) are presented, respectively.

The disadvantages of using upper-approximation set R ¯ ( Z ) or lower-approximation set R _ ( Z ) as approximation sets of the uncertain set (uncertain concept) Z are analyzed, and a new method for looking for a better approximation set of the interval set Z is proposed.

The conclusion that the approximation set R 0.5 ( Z ) is an optimal approximation set of interval set Z is drawn and proved successfully.

The change rules of R 0.5 ( Z ) with different binary relations are analyzed in detail.

Finally, a kind of crisp approximation set of the interval set Z is constructed.

We hope this research work will promote the development of both the interval set model and granular computing theory.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Zhang, Qinghua& Wang, Jin& Wang, Guoyin& Hu, Feng. 2014. Approximation Set of the Interval Set in Pawlak's Space. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1049201

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Zhang, Qinghua…[et al.]. Approximation Set of the Interval Set in Pawlak's Space. The Scientific World Journal No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1049201

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Zhang, Qinghua& Wang, Jin& Wang, Guoyin& Hu, Feng. Approximation Set of the Interval Set in Pawlak's Space. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1049201

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1049201