This paper presents an axiomatic framework for qualitative decision under uncertainty in a finite setting. The corresponding util­ ity is expressed by a sup-min expression, called Sugeno (or fuzzy) integral. Techni­ cally speaking, Sugeno integral is a median, which is indeed a qualitative counterpart to the averaging operation underlying expected utility. The axiomatic justification of Sugeno ...

Keywords: Nonadditive measure Sugeno integral Comonotone functions Chebyshev's inequality Minkowski's inequality Hölder's inequality a b s t r a c t In this paper strengthened versions of the Minkowski, Chebyshev, Jensen and Hölder inequalities for Sugeno integral and T-(S-)evaluators are given. As an application, some equivalent forms and some particular results have been established. The theo...

fuzzy logic has a high potential for managing the uncertainty sources associated with the medical expert systems. application of fuzzy inference model has been widely concentrated for managing uncertainties in computer based practices of medicine. this paper has proposed two fuzzy expert systems for prognosis of the heart disease based on: 1) mamdani inference model, and 2) sugeno inference mod...

The concept of universal integral, recently proposed, generalizes the Choquet, Shilkret and Sugeno integrals. Those integrals admit a bipolar formulation, useful in those situations where the underlying scale is bipolar. In this paper we propose the bipolar universal integral generalizing the Choquet, Shilkret and Sugeno bipolar integrals. To complete the generalization we also provide the char...

The concept of universal integral, recently proposed, generalizes the Choquet, Shilkret and Sugeno integrals. Those integrals admit a discrete bipolar formulation, useful in those situations where the underlying scale is bipolar. In this paper we propose the concept of discrete bipolar universal integral, in order to provide a common framework for bipolar discrete integrals, including as specia...

We consider a fixed probability μ. For any λ ∈ (−1,∞), we denote by m(λ, μ) the λ-Sugeno measure generated by μ. For a fixed measurable set A, the continuity of the map λ 7−→ ∫ A fdm(λ, μ) is proved, where the integral is either Choquet or Sugeno. The asymptotic (marginal) cases λ = −1 and λ =∞ are studied too. Finally, some concrete computations illustrate the previous theory.

We establish the functional equivalence of a generalized class of Gaussian radial basis function (RBFs) networks and the full Takagi-Sugeno model (1983) of fuzzy inference. This generalizes an existing result which applies to the standard Gaussian RBF network and a restricted form of the Takagi-Sugeno fuzzy system. The more general framework allows the removal of some of the restrictive conditi...

We consider a fixed probability µ. For any () 1, λ ∈ − ∞ , we denote by () , m λ µ the λ-Sugeno measure generated by µ. For a fixed measurable set A, the continuity of the map () , A fdm λ λ µ ∫ ֏ is proved, where the integral is either Choquet or Sugeno. The asymptotic (marginal) cases 1 λ = − and λ = ∞ are studied too. Finally, some concrete computations illustrate the previous theory.

In this paper, we present two results concerning the fuzzy modeling and control of nonlinear systems. The first result is on the approximation of smooth nonlinear dynamical systems using linear Takagi-Sugeno fuzzy models. The second result is on the approximation of smooth nonlinear state-feedback controllers using the the so-called parallel distributed compensation (PDC) controller. Both resul...