Abstract
The aim of this paper is to study the fuzzy measures proposed by Butnariu [1-3]. First, the concept of fuzzy orthogonal measure on a regular fuzzy measurable space is presented. Then, the structural characteristics of fuzzy orthogonal measure, which shows the relation between the classical finite measure and the fuzzy orthogonal measure, is demonstrated. Finally, the weak convergence of fuzzy orthogonal measures is investigated.
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