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Rotational temperature measurements in molecular plasmas using nonadditive Tsallis statistics
Physica A: Statistical Mechanics and its Applications, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Reis, J. L., Amorim, J., Pino, A. Dal
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Inequalities for integrals based on nonadditive measures
2011 IEEE 12th International Symposium on Computational Intelligence and Informatics (CINTI), 2011There are considered generalizations of the classical integral inequalities as Holder, Minkowski, Chebishev, Berwald to fuzzy integrals, e.g., Choquet and Sugeno integrals. For the universal integral, as generalization of Choquet and Sugeno integral, there are given a general inequality which cover Holder and Minkowski type inequalities.
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DC optimization for constructing discrete Sugeno integrals and learning nonadditive measures
Optimization, 2019Defined solely by means of order-theoretic operations meet (min) and join (max), weighted lattice polynomial functions are particularly useful for modelling data on an ordinal scale.
G. Beliakov, M. Gagolewski, S. James
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Fuzzy Sets and Systems, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalizations of Integral Inequalities for Integrals Based on Nonadditive Measures
2013There is given an overview of generalizations of the integral inequalities for integrals based on nonadditive measures. The Holder, Minkowski, Jensen, Chebishev and Berwald inequalities are generalized to the Choquet and Sugeno integrals. A general inequality which cover Holder and Minkowski type inequalities is considered for the universal integral ...
Pap, Endre, Štrboja, Mirjana
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Weak convergence of nonadditive measures based on nonlinear integral functionals
Fuzzy Sets and Systems, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Econometrica, 2001
Summary: In expected utility theory, risk attitudes are modeled entirely in terms of utility. In the rank-dependent theories, a new dimension is added: chance attitude, modeled in terms of nonadditive measures or nonlinear probability transformations that are independent of utility.
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Summary: In expected utility theory, risk attitudes are modeled entirely in terms of utility. In the rank-dependent theories, a new dimension is added: chance attitude, modeled in terms of nonadditive measures or nonlinear probability transformations that are independent of utility.
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Journal of Intelligent & Fuzzy Systems
Both the nonadditivity index and nonmodularity index have emerged as valuable indicators for characterizing the interaction phenomenon within the realm of fuzzy measures. The axiomatic representation plays a crucial role in distinguishing and elucidating the relationship and distinctions between these two interaction indices. In this paper, we employ a
Wu, Jian-Zhang +2 more
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Both the nonadditivity index and nonmodularity index have emerged as valuable indicators for characterizing the interaction phenomenon within the realm of fuzzy measures. The axiomatic representation plays a crucial role in distinguishing and elucidating the relationship and distinctions between these two interaction indices. In this paper, we employ a
Wu, Jian-Zhang +2 more
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A Lyapunov-Type Theorem for Nonadditive Vector Measures
2009We prove the convexity and compactness of the closure of the lower partition range of an *** n -valued, nonatomic, supermodular capacity, employing a useful relationship between convex games and their Choquet integrals. The main result is applied to fair division problems, and the existence of Pareto optimal *** -fair partitions is demonstrated for the
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2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2014
Numerous research works have been done on the Choquet integral model due to the tremendous usage in many fields. However, the application is still significantly restricted by the curse of dimensionality, involved in determining the non-additive interaction measures, that can properly reflect the interactions among predictive attributes toward the ...
Wei An +5 more
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Numerous research works have been done on the Choquet integral model due to the tremendous usage in many fields. However, the application is still significantly restricted by the curse of dimensionality, involved in determining the non-additive interaction measures, that can properly reflect the interactions among predictive attributes toward the ...
Wei An +5 more
openaire +1 more source