Weakly maxitive set functions and their possibility distributions
نویسندگان
چکیده
The Shilkret integral with respect to a completely maxitive capacity is fully determined by possibility distribution. In this paper, we introduce weaker topological form of maxitivity and show that under assumption the still its distribution for functions are sufficiently regular. Motivated large deviations theory, provide Laplace principle integrals characterize certain separation convexity assumptions. Moreover, representation result weakly non-linear expectations. theoretical results illustrated providing bounds sequences capacities, deriving monotone analogue Cramér's theorem.
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ژورنال
عنوان ژورنال: Fuzzy Sets and Systems
سال: 2023
ISSN: ['1872-6801', '0165-0114']
DOI: https://doi.org/10.1016/j.fss.2023.03.009