Results 1 to 10 of about 1,130,697 (134)
Ostrowski and Čebyšev type inequalities for interval-valued functions and applications. [PDF]
PLoS ONE, 2023 As an essential part of classical analysis, Ostrowski and Čebyšev type inequalities have recently attracted considerable attention. Due to its universality, the non-additive integral inequality takes several forms, including Sugeno integrals, Choquet ...
Jing Guo +3 more
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Remarks on Sugeno Integrals on Bounded Lattices
Mathematics, 2022 A discrete Sugeno integral on a bounded distributive lattice L is defined as an idempotent weighted lattice polynomial. Another possibility for axiomatization of Sugeno integrals is to consider compatible aggregation functions, uniquely extending the L ...
Radomír Halaš +2 more
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Hölder Type Inequalities for Sugeno Integrals under Usual Multiplication Operations
Advances in Fuzzy Systems, 2019 The classical Hölder inequality shows an interesting upper bound for Lebesgue integral of the product of two functions. This paper proposes Hölder type inequalities and reverse Hölder type inequalities for Sugeno integrals under usual multiplication ...
Dug Hun Hong, Jae Duck Kim
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Generalized comonotonicity and new axiomatizations of Sugeno integrals on bounded distributive lattices [PDF]
International Journal of Approximate Reasoning, 2017 Two new generalizations of the relation of comonotonicity of lattice-valued vectors are introduced and discussed. These new relations coincide on distributive lattices and they share several properties with the comonotonicity for the real-valued vectors (
Halaš, Radomír +2 more
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On the Minkowski-H\"{o}lder type inequalities for generalized Sugeno integrals with an application [PDF]
Kybernetika (Praha), 2015 In this paper, we use a new method to obtain the necessary and sufficient condition guaranteeing the validity of the Minkowski-H\"{o}lder type inequality for the generalized upper Sugeno integral in the case of functions belonging to a wider class than ...
Boczek, Michał, Kaluszka, Marek
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MathematicsThis study presents new fuzzy adaptations of Ostrowski’s integral inequalities through a novel class of convex fuzzy-valued mappings defined over a harmonic convex set, avoiding the use of the Sugeno integral. These innovative inequalities generalize the
Mesfer H. Alqahtani +4 more
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Decision-making with Sugeno integrals: Bridging the gap between multicriteria evaluation and decision under uncertainty [PDF]
Order, 2015 International audienceThis paper clarifies the connection between multiple criteria decision-making and decision under uncertainty in a qualitative setting relying on a finite value scale.
Couceiro, Miguel +3 more
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Godunova Type Inequality for Sugeno Integral [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we investigate Godunova type inequality for Sugeno integrals in two cases. At the first case, we suppose that the inner integral is the Riemann integral and the remaining two integrals are of Sugeno type.
Bayaz Daraby +2 more
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The Alternative Representation of the Bipolar Sugeno Integral [PDF]
Engineering and Technology Journal, 2022 In the context of decision support systems, bi-capacities were introduced as an extension of classical capacities. Many bipolar fuzzy integrals related to the bi-capacities have been presented in recent years.
Jabbar Abbas, Hossein Jafari
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An Application of Non-additive Measures and Corresponding Integrals in Tourism Management
مجلة بغداد للعلوم, 2020 Non-additive measures and corresponding integrals originally have been introduced by Choquet in 1953 (1) and independently defined by Sugeno in 1974 (2) in order to extend the classical measure by replacing the additivity property to non-additive ...
Sabri et al.
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