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Some properties of the variations of non-additive set functions II
Fuzzy Sets and Systems, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Qiang, Gao, Ziyou
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Unsplittable non-additive capacitated network design using set functions polyhedra
Computers & Operations Research, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benhamiche, Amal +3 more
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Regularity properties of non-additive set functions
Fuzzy Sets and Systems, 1991A variant of the Lebesgue decomposition theorem is proved for so-called decomposable measures with regard to a triangular conorm. A similar result (of course, not including the result mentioned above) has been achieved by \textit{E. Pap} [Fuzzy Sets Syst. 38, No. 3, 345-353 (1990; Zbl 0722.28015)].
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The Inclusion Variation of Non-additive Set Functions on T-Tribe
Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007), 2007Inclusion variation on Tinfin-tribe play an important role in Tinfin-measures and fuzzy games theory, where they were used for additive set functions on Tinfin-tribe. In this paper classical variations theory is extended to non-additive set functions on T-tribe, after defining the inclusion variation, we investigate its some properties in detailed ...
Chunqiao Tan, Qiang Zhang, Wangbin Hu
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Some properties of the variations of non-additive set functions on T-tribes
Fuzzy Sets and Systems, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tan, Chunqiao, Zhang, Qiang
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2022
Fuzzy measures are set functions that are monotonic with respect to the set inclusion. They are also called non-additive measures, monotonic games, and capacities. Cost functions, as the ones used in the optimal transport problem, are typically functions between pairs of elements of, in general, two different sets. In some particular problems, they can
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Fuzzy measures are set functions that are monotonic with respect to the set inclusion. They are also called non-additive measures, monotonic games, and capacities. Cost functions, as the ones used in the optimal transport problem, are typically functions between pairs of elements of, in general, two different sets. In some particular problems, they can
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Some properties of the variations of non-additive set functions I
Fuzzy Sets and Systems, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Large Deviation Principles for Non-Additive Set Functions
This paper explores the challenging yet crucial extension of Large Deviation Principles (LDPs) to the domain of non-additive set functions, a class of measures that includes capacities, fuzzy measures, and belief functions. Traditional LDPs, foundational in probability theory and statistical mechanics, quantify the exponential decay rates of ...Revista, Zen, MATH, 10
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The absolute continuity of non-additive set functions on T<inf>∞</inf>-tribe
2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery, 2010Fengye Wang, Zhiyong Huang, Youlin Shang
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Further research on absolute continuity of non-additive set functions on T<inf>∞</inf>-tribe
2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2011Fengye Wang, Zhiyong Huang, Wancai Yang
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