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In this paper, we further investigate the concept of absolute continuity of fuzzy measures and monotone functions defined by fuzzy integral by using the concept of exhaustivity. The equivalencies among several different types of absolute continuity of fuzzy measures are established.
In this paper, based on Wu's generalized fuzzy integrals of point-valued function [C. Wu et al., Fuzzy Sets and Systems 70 (1995) 75], a theory of generalized fuzzy integrals of fuzzy-valued functions will be investigated. It includes definitions, properties and various kinds of convergence theorems. These are extensions of results in C. Wu et al. [Fuzzy Sets and Systems 70 (1995) 75]; D. Zhang and...
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