Autocontinuity of set-valued fuzzy measures and applications. (English) Zbl 1218.28016
Summary: The main object of this paper is to further the study of set-valued fuzzy measures introduced by A. Gavriluţ [Fuzzy Sets Syst. 160, No. 9, 1308–1317 (2009; Zbl 1182.28020)]. Some asymptotic structural characteristics of set-valued fuzzy measures, such as null-additivity and autocontinuity, are investigated. In terms of applications, convergence theorems for sequences of measurable functions are established.
MSC:
| 28E10 | Fuzzy measure theory |
Keywords:
non-additive measure; set-valued fuzzy measure; null-additivity; autocontinuity; measurable function; convergence theoremCitations:
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