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Lexicographic Refinements of Sugeno Integrals
2007This paper deals with decision-making under uncertainty when the worth of acts is evaluated by means of Sugeno integral on a finite scale. One limitation of this approach is the coarse ranking of acts it produces. In order to refine this ordering, a mapping from the common qualitative utility and uncertainty scale to the reals is proposed, whereby ...
Didier Dubois, Hélène Fargier
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On the comonotonic-★-property for Sugeno integral
Applied Mathematics and Computation, 2009The paper deals mainly with the Sugeno integral possessing the comonotonic \(*\) property; this property is defined as follows: with \(*: [0,\infty]^2\to[0, \infty]\) a binary operation, a Sugeno integral is said to possess the comonotonic \(*\) property if \((s)\int_Af*g\,d\mu= (s)\int_Af\,d \mu*(s)\int_Ag\,d\mu\) holds for any fuzzy measure space ...
Ouyang, Yao, Mesiar, Radko, Li, Jun
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Takagi-Sugeno Fuzzy Logic Systems
2017The achievements obtained by Fuzzy Logic undoubtedly changed the way expert information is represented, manipulated, and interpreted in computational systems. Nevertheless, the initialization of Mamdani FLSs’ main parameters, namely its membership functions and their interdependency relations, is a process that depends on the knowledge of an expert ...
Rómulo Antão +3 more
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Sugeno Utility Functions II: Factorizations
2010In this paper we address and solve the problem posed in the companion paper [3] of factorizing an overall utility function as a composition q(ϕ1(x1),..., ϕn(xn)) of a Sugeno integral q with local utility functions ϕi, if such a factorization exists.
Miguel Couceiro, Tamás Waldhauser
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Sugeno Utility Functions I: Axiomatizations
2010In this paper we consider a multicriteria aggregation model where local utility functions of different sorts are aggregated using Sugeno integrals, and which we refer to as Sugeno utility functions. We propose a general approach to study such functions via the notion of pseudo-Sugeno integral (or, equivalently, pseudo-polynomial function), which ...
Miguel Couceiro, Tamás Waldhauser
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Improved Takagi-Sugeno fuzzy approach
2008 IEEE International Conference on Fuzzy Systems (IEEE World Congress on Computational Intelligence), 2008In this paper Takagi-Sugeno fuzzy approach in analyzed under the fuzzy mapping perspective. Although similar to classical Takagi-Sugeno fuzzy approach in structure, this rule based system differs when employing a subnormal fuzzy mapping instead of using a normalized one.
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Improved inference for takagi–sugeno models.
1996Some undesirable properties of the standard Takagi–Sugeno (TS) inference method are discussed in relation to analysis of the TS model and to its approximation accuracy. A new inference method based on a smoothing maximum function is proposed. This method guarantees smoothness of the model output to a desired degree, boundedness of the output gradient ...
R. Babuska +2 more
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$$L_1$$-space for Sugeno Integral
2017Let \(L_1(Su)\) be the \(L_1\) space with respect to the Sugeno integral for a fuzzy measure [7, 9]. \(L_1(Su)\) is a linear space with the natural quasi-metric. In general \(L_1(Su)\) is not necessarily a topological linear space. We shall characterize explicitely the maximal topological linear subspace of \(L_1(Su)\).
Aoi Honda, Yoshiaki Okazaki
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Takagi–Sugeno Fuzzy Control System
2009A nonlinear dynamic system can usually be represented by a set of nonlinear differential equations of the form $$ \dot{x}=f(x,u), (8.1) $$
Dan Huang, Sing Kiong Nguang
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