DocumentCode
2899503
Title
Axiomatization of Fuzzy Lower Approximation Operators
Author
Zhao, Ming-qing ; Zhao, Xiao-yan
Author_Institution
Coll. of Inf. Sci. & Eng., Shandong Univ. of Sci. & Technol., Qingdao
fYear
2006
fDate
13-16 Aug. 2006
Firstpage
4173
Lastpage
4177
Abstract
In paper (Liu Gui-long, 2004), author had studied the axiomatization of general fuzzy rough sets when relations and sets are both fuzzy and obtained axiom group of fuzzy upper approximation operator. While the discussion of fuzzy lower approximation is too complicated, they have not get corresponding axiom group. In this paper, we deduce axiom group of fuzzy lower approximation operator and prove its credibility and independence by introducing two new concepts, which are number added fuzzy sets and outside composition operations
Keywords
fuzzy set theory; group theory; mathematical operators; matrix algebra; number theory; rough set theory; axiom group; fuzzy lower approximation operator axiomatization; fuzzy matrix; fuzzy rough sets; fuzzy upper approximation operator; number added fuzzy sets; outside composition operations; Concrete; Cybernetics; Fuzzy sets; Information science; Machine learning; Paper technology; Rough sets; Axiomatization; Fuzzy Approximation Operators; Fuzzy Rough sets; Fuzzy approximation space;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location
Dalian, China
Print_ISBN
1-4244-0061-9
Type
conf
DOI
10.1109/ICMLC.2006.258938
Filename
4028804
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