Based on credibilistic value-at-risk (CVaR) of regularfuzzy variable, we introduce a new CVaR reduction method fortype-2 fuzzy variables. The reduced fuzzy variables arecharacterized by parametric possibility distributions. We establishsome useful analytical expressions for mean values and secondorder moments of common reduced fuzzy variables. The convex properties of second order moments with ...

This paper presents the concept of partition of a nonempty fuzzy set in nonempty convex fuzzy subsets. We restrict our discussion when the universal set, where are defined the fuzzy sets, is the real n-dimensional Euclidean space. We also show that a nonempty fuzzy set has a least one partition in nonempty convex fuzzy subsets.

The paper presents the problem of decentralized state feedback control for nonlinear interconnected systems with time-varying delay in both states and inputs which is composed by a number of Takagi-Sugeno (T-S) fuzzy bilinear subsystems with interconnections. Based on the Lyapunov criterion and the parallel distribute compensation scheme, the delay-dependent stabilization sufficient conditions ...

We say that a C*-algebra A has the ‘sublattice property’ if the set P(A) of all projections in A is a sublattice of the projection lattice of its enveloping von Neumann algebra A∗∗. It is shown that this property is equivalent to the requirement that all pairs of projections have strictly positive ‘angle’. We discuss this property in relation to some results obtained by C. Akemann and by A. Laz...

This paper presents the problem of decentralized robust control for discrete-time fuzzy bilinear interconnected large-scale system. Based on the Lyapunov criterion and the parallel distribute compensation (PDC) scheme, the sufficient conditions are derived to guarantee the robust stability of the overall fuzzy system via bilinear matrix inequalities (BMIs). The V-K iteration algorithm is employ...

By using parameterized representation of fuzzy numbers, criteria for a lower semicontinuous fuzzy mapping defined on a non-empty convex subset of Rn to be a convex fuzzy mapping are obtained. c © 2007 Elsevier Ltd. All rights reserved.

For a smooth canonically embedded curve C of genus 9 together with pencil |L| degree 6, we study the relative canonical resolution C⊂X⊂P8, where X is scroll swept out by |L|. We show that second syzygy bundle in this C⊂X unbalanced. The proof reveals new geometric connection between universal Brill–Noether variety W9,61 and moduli space Fh lattice polarized K3 surfaces (for certain rank 3 h). A...