Fuzzy Integral
Extension of the fuzzy integral for general fuzzy set valued information
... Abstract—The fuzzy integral (FI) is an extremely flexible aggregation ...and fuzzy measure (FM) for the case of higher-order uncertain information (both integrand and ...on fuzzy number- (FN), ...
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A New Iterative Method For Solving Fuzzy Integral Equations
... of fuzzy integral ...of fuzzy integral equa- tions can be found in [5, 6, 16, 27, 28, ...of fuzzy integral equations are ...of fuzzy integral for solv- ing ...
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The Sugeno fuzzy integral of log convex functions
... A stronger property of convexity is log-convexity. The arithmetic mean-geometric mean inequality easily yields that every log-convex function is also convex. The behavior of cer- tain interference-coupled multiuser ...
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Extension on the fuzzy integral based on ⊕ decomposable measure
... of fuzzy integral based on pseudo- additive integral is very important, it will allow us to introduce Pettis integral and Bochner integral in the theory of fuzzy ...
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Solving Fuzzy Integral Equations of the Second Kind by Fuzzy Laplace Transform Method
... the fuzzy Laplace transform is studied. In section 4, the fuzzy convolution Volterra integral equation of the second kind with fuzzy convolution kernel is ...the fuzzy Laplace ...
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Comparison of fuzzy integral fuzzy measure based ensemble algorithms with the state of the art ensemble algorithms
... Decision-level Fuzzy Integral Multiple Kernel Learning (De- FIMKL) algorithm as an alternative to algorithmic and algorithm-optimisation hybrid FMs, which aggregates the outputs of SVM classifiers through ...
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Risk Assessment Model with Integrated-Information of Copula and Choquet Fuzzy Integral.
... Choquet fuzzy integral has strength on finding a solution corresponding to the decision maker’s preference and ...Choquet fuzzy integral can provide information of the preference structure and ...
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Bounded solutions for fuzzy integral equations of fractional order
... of fuzzy derivative was first introduced by Chang and Zadeh ...of fuzzy derivative as an extension of the Hukuhara derivative and the fuzzy integral, which was the same as that proposed by ...
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Bounded solutions for fuzzy integral equations
... of fuzzy functions ...of fuzzy derivative, which is a generalization of the Hukuhara derivative and the fuzzy integral, which is the same as that proposed by Dubois and Prade [7, ...of ...
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SPFI: shape preserving Choquet fuzzy integral for non normal fuzzy set valued evidence
... Information aggregation is a basic operation in several areas: machine learning, signal processing, distributed sensing, robotics, crowd-sourcing, etc. In this paper, we address a type of aggregation that has been ...
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New iterative method for solving linear Fredholm fuzzy integral equations of the second kind
... for integral equation, therefore numerical methods have been ...Fredholm fuzzy integral equations of the second ...present fuzzy equation, the truncation limit N must be chosen large ...
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On Cauchy problems for fuzzy differential equations
... of fuzzy derivative, followed up ten years later by Dubois and Prade [5], who used the extension principle in their ...of fuzzy functions. This led Seikkala [13] to introduce the notion of fuzzy ...
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Application of Fuzzy Bicubic Splines Interpolation for Solving Two-Dimensional Linear Fuzzy Fredholm Integral Equations
... dimensional fuzzy integral equations [2, 3, 4, 5, 6, 13, 14, 16, 17, 18, 21, 22, 24, 25, 28, 39, 40, ...dimensional fuzzy integral equations have been noticed by a lot of researchers because ...
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Existence and uniqueness theorem for a solution of fuzzy differential equations
... above fuzzy differential equation. Keywords and phrases. Fuzzy set-valued mapping, levelwise continuous, fuzzy derivative, fuzzy integral, fuzzy differential equation, fuzzy ...
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Numerical solution of two-dimensional fuzzy Fredholm integral equations using collocation fuzzy wavelet like operator
... of fuzzy integrals was initiated gated by Kaleva [21], Goetschel and Voxman [20], Nanda [25] and ...of fuzzy-valued functions is defined, while the fuzzy Riemann integral and its numerical in- ...
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On Optimal Quadrature Rule for Solving Fuzzy Fredholm Integral Equations
... and integral equations, fuzzy math- ematics, especially, on solution of fuzzy systems, fuzzy integral equations, and fuzzy ...
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Method For Solving Fuzzy Integro-Differential Equation By Using Fuzzy Laplace Transformation
... of fuzzy sets and set operations was first introduced by Zadeh [19] and subsequently several authors have studied various aspects of the theory and applications of fuzzy ...Fredholm fuzzy ...
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The Use of Fuzzy Variational Iteration Method For Solving Second-Order Fuzzy Abel-Volterra Integro-Differential Equations
... e fuzzy integral equations and the fuzzy ful for solving many problems in several applied fields like mathematical economics, electrical en- gineering, medicine and biology and optimal con- trol ...
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Legendre polynomials for numerical solution of linear fuzzy Fredholm integral equations
... The aim of this paper, is to propose a simple nu- merical method to solve linear fuzzy Fredholm in- tegral equations with nonegative kernels. In this method, we use Legendre polynomials to approx- imate the ...
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An existence and uniqueness theorem for fuzzy H-integral equations of fractional order
... Riemann integral type approach, Kaleva chose to define the integral of fuzzy function, using the Lebesgue-type concept of ...of fuzzy functions and fuzzy integral equations, for ...
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