DocumentCode
929483
Title
Vague sets
Author
Gau, Wen-Lung ; Buehrer, Daniel J.
Author_Institution
Inst. of Comput. Sci. & Inf. Eng., Nat. Chung Cheng Univ., Chia-Yi, Taiwan
Volume
23
Issue
2
fYear
1993
Firstpage
610
Lastpage
614
Abstract
A vague set is a set of objects, each of which has a grade of membership whose value is a continuous subinterval of [0,1]. Such a set is characterized by a truth-membership function and a false-membership function. The notion of inclusion, union, intersection, and complement are extended to such sets, and various properties of vague sets are established. Finally, convex vague sets are introduced
Keywords
set theory; continuous subinterval membership grade; convex vague sets; false-membership function; set complement; set inclusion; set intersection; set union; truth-membership function; Computer science; Fuzzy sets; TV; Upper bound;
fLanguage
English
Journal_Title
Systems, Man and Cybernetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9472
Type
jour
DOI
10.1109/21.229476
Filename
229476
Link To Document