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