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Vague sets

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2 Author(s)
W. -L. Gau ; Inst. of Comput. Sci. & Inf. Eng., Nat. Chung Cheng Univ., Chia-Yi, Taiwan ; D. J. Buehrer

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

Published in:

IEEE Transactions on Systems, Man, and Cybernetics  (Volume:23 ,  Issue: 2 )