Results 41 to 50 of about 12,428 (212)
A note on the Sobol' indices and interactive criteria
, 2016 The Choquet integral and the Owen extension (or multilinear extension) are the most popular tools in multicriteria decision making to take into account the interaction between criteria.
Grabisch, Michel, Labreuche, Christophe
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Choquet and Sipos Integrals [PDF]
, 2009 In this chapter we introduce some integrals for real-valued maps with respect to Riesz space-valued set functions, which are not necessarily finitely additive, but in general can be simply only increasing. First we deal with the Sipos (symmetric) integral and prove the monotone and Lebesgue dominated convergence theorems, Fatou’s lemma and the ...
Antonio Boccuto +2 more
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Taking Risks, With and Without Probabilities
Noûs, EarlyView.ABSTRACT Some hold that expected utility is too restrictive in the way it handles risk. Risk‐weighted expected utility is an alternative that allows decision‐makers to have a range of attitudes toward probabilistic risk. It holds that any attitude within this range is instrumentally rational, since these attitudes represent different, equally good ...
Lara Buchak
wiley +1 more source
A localic theory of lower and upper integrals [PDF]
, 2008 An account of lower and upper integration is given. It is constructive in the sense of geometric logic. If the integrand takes its values in the non-negative lower reals, then its lower integral with respect to a valuation is a lower real.
Vickers, Steven
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Obesity Reviews, EarlyView.ABSTRACT Obesity is understood as a condition driven by interactions between genetics and environmental factors. The role of CD36 in the regulation of lipid metabolism and ectopic fat accumulation emerges as a key area of interest. This review presents CD36 not only as a crucial facilitator of fatty acid uptake but also as a regulator of how and where ...
Nahuel Garcia +5 more
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Fermatean Hesitant Fuzzy Choquet Integral Aggregation Operators
IEEE Access, 2023 Fermatean fuzzy hesitant sets provide a flexible and powerful tool for decision making, allowing decision makers to incorporate uncertainty and hesitation into their decision making process, and enabling them to make more informed and effective decisions
Lin Sha, Yabin Shao
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States on pseudo effect algebras and integrals [PDF]
, 2010 We show that every state on an interval pseudo effect algebra $E$ satisfying some kind of the Riesz Decomposition Properties (RDP) is an integral through a regular Borel probability measure defined on the Borel $\sigma$-algebra of a Choquet simplex $K ...
A. Dvurečenskij +21 more
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Choquet integral analytic inequalities [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2020 Summary: Based on an amazing result of \textit{M. Sugeno} [Fuzzy Sets Syst. 222, 1--17 (2013; Zbl 1284.28018)], we are able to transfer classic analytic integral inequalities to Choquet integral setting. We give Choquet integral inequalities of the following types: fractional-Polya, Ostrowski, fractional Ostrowski, Hermite-Hadamard, Simpson and Iyengar.
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Note on the Choquet Integral as an Interval-Valued Aggregation Operators and Their Applications
Journal of Applied Mathematics, 2012 The concept of an interval-valued capacity is motivated by the goal to generalize a capacity, and it can be used for representing an uncertain capacity.
Lee-Chae Jang
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Induced Atanassov's interval-valued intuitionistic fuzzy hybrid Choquet integral operators and their application in decision making [PDF]
International Journal of Computational Intelligence Systems, 2014 Based on the Choquet integral and the generalized Shapley function, two new induced Atanassov's interval-valued intuitionistic fuzzy hybrid aggregation operators are defined, which are named as the induced generalized Shapley Atanassov's interval-valued ...
Fanyong Meng, Hao Cheng, Qiang Zhang
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