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
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;
Conference_Titel :
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location :
Dalian, China
Print_ISBN :
1-4244-0061-9
DOI :
10.1109/ICMLC.2006.258938
