On a convergence in measure theorem for the seminormed and semiconormed fuzzy integrals. (English) Zbl 07898094
Summary: In this paper, we study convergence in measure theorems without the continuity of the measure with respect to seminormed and semiconormed fuzzy integrals. By using the obtained results, we achieve results about pointwise convergence and almost uniform convergence for seminormed fuzzy integrals.
MSC:
| 28E10 | Fuzzy measure theory |
| 28A20 | Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence |
Keywords:
convergence in mean; convergence in measure; convergence strictly in measure; monotone measure; semicopula; the smallest semicopula-based integralReferences:
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