This paper presents a critical analysis of conventional operations on intuitionistic fuzzy values (IFVs), and some limitations of the conventional aggregation operator on IFVs are analyzed in detail. In order to overcome these limitations, according to new operation laws on IFVs based on Achimedean t-norm and t-conorm, we propose a new quasi-intuitionistic fuzzy OWA (QIFOWA) operator. Some corr...

Fundamental solutions of Dirac type operators are introduced for a class of conformally flat manifolds. This class consists of manifolds obtained by factoring out the upper half-space of Rn by arithmetic subgroups of generalized modular groups. Basic properties of these fundamental solutions are presented together with associated Eisenstein and Poincaré type series.

This paper describes PSEUDEC, a dedicated co-processor and the rationale behind it's design. The nal goal of our work is to present a single chip solution with low power consumption for an advanced digital hearing aid based on a parameterized transformation of speech (PARTRAN). Characterization of the constituent parts of the PAR-TRAN algorithm shows, that it is well suited for implementation o...

We consider the e cient solution of partial di↵erential equations for strongly elliptic operators with constant coe cients and stochastic Dirichlet data by the boundary integral equation method. The computation of the solution’s twopoint correlation is well understood if the two-point correlation of the Dirichlet data is known and su ciently smooth. Unfortunately, the problem becomes much more ...

We present some basic integer arithmetic quantum circuits, such as adders and multipliers-accumulators of various forms, as well as diagonal operators, which operate on multilevel qudits. The integers to be processed are represented in an alternative basis after they have been Fourier transformed. Several arithmetic circuits operating on Fourier transformed integers have appeared in the literat...

Using the Arthur-Selberg trace formula we express the index of a Dirac operator on an arithmetic quotient manifold as the integral over the index form plus a sum of orbital integrals. For the Euler operator these orbital integrals are shown to vanish for products of certain rank one spaces. In this case the index theorem looks exactly as in the compact case.

We consider Baxter Q-operators for various versions of quantum affine Toda chain. The interpretation of eigenvalues of the finite Toda chain Baxter operators as local Archimedean L-functions proposed recently is generalized to the case of affine Lie algebras. We also introduce a simple generalization of Baxter operators and local L-functions compatible with this identification. This gives a con...

We characterize chaotic linear operators on reflexive Banach spaces in terms of the existence long arithmetic progressions sets return times. also show that this characterization does not hold for arbitrary spaces. To achieve this, we study $$\mathcal {F}$$ -hypercyclicity a family subsets natural numbers associated to arbitrarily progressions.

Let Q denote the field of algebraic numbers in C. A discrete group G is said to have the σ-multiplier algebraic eigenvalue property, if for every matrix A ∈ Md(Q(G,σ)), regarded as an operator on l(G), the eigenvalues of A are algebraic numbers, where σ ∈ Z(G,U(Q)) is an algebraic multiplier, and U(Q) denotes the unitary elements of Q. Such operators include the Harper operator and the discrete...