Results 1 to 10 of about 45 (27)
On the Chebyshev type inequality for seminormed fuzzy integral
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Yao Ouyang, Radko Mesiar
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General Chebyshev Type Inequality for Seminormed Fuzzy Integral
We give a necessary and sufficient condition for Chebyshev type inequality in the class of seminormed fuzzy integrals with respect to m-positively dependent functions. Reviewing the literature many known results are generalized. We also present the Chebyshev type inequality for Shilkret integral for independent random variables.
Michał Boczek +2 more
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THE SEMINORMED FUZZY CO-INTEGRAL
In this paper, we introduce the seminormed fuzzy co-integral as a complementary concept of seminormed fuzzy integral, and investigate its properties. Furthermore we propose an application of this new integral for decision making problems.
Sung-Mo Im, Mi-Hye Kim
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POSSIBILITY THEORY I: THE MEASURE- AND INTEGRAL-THEORETIC GROUNDWORK
In this paper, I provide the basis for a measure- and integral-theoretic formulation of possibility theory. It is shown that, using a general definition of possibility measures, and a generalization of Sugeno's fuzzy integral -- the seminormed fuzzy
Gert De Cooman
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General Minkowski type and related inequalities for seminormed fuzzy integrals
Minkowski type inequalities for the seminormed fuzzy integrals on abstract spaces are studied in a rather general form. Also related inequalities to Minkowski type inequality for the seminormed fuzzy integrals on abstract spaces are studied.
Bayaz Daraby, Fatemeh Ghadimi
doaj +1 more source
An answer to an open problem on seminormed fuzzy integral
We give an answer to Problem 9.3 stated by by Mesiar and Stupnanova (2015). We show that the class of semicopulas solving this problem contains any associative semicopula S such that a the function S(a,.) is continuous and increasing on a countable number of intervals.
Boczek, Michal, Kaluszka, Marek
+7 more sources
On the Minkowski-Hölder type inequalities for generalized Sugeno integrals with an application [PDF]
summary:In this paper, we use a new method to obtain the necessary and sufficient condition guaranteeing the validity of the Minkowski-Hölder type inequality for the generalized upper Sugeno integral in the case of functions belonging to a wider class ...
Boczek, Michał, Kaluszka, Marek
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On some properties of seminormed fuzzy integrals
6 ...
Boczek, Michał, Kaluszka, Marek
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On convergence in measure for seminormed fuzzy integrals without the continuity of measure
Abstract The key result in this paper shows that autocontinuity is a sufficient and necessary condition on a monotone measure such that convergence in measure of a sequence of measurable functions implies convergence of the corresponding sequence of seminormed fuzzy integrals of those measurable functions.
Do Huy Hoang +4 more
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Some of the next articles are maybe not open access.
On a convergence in measure theorem for the seminormed and semiconormed fuzzy integrals
Fuzzy Sets and Systems, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Do Huy Hoang, Tran Nhat Luan
exaly +2 more sources

