Author :
Gau, Wen-Lung ; Buehrer, Daniel J.
Author_Institution :
Inst. of Comput. Sci. & Inf. Eng., Nat. Chung Cheng Univ., Chia-Yi, Taiwan
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;
Journal_Title :
Systems, Man and Cybernetics, IEEE Transactions on
