The current paper discusses the uncertainty reasoning method based on gradational lattice-valued firstorder logic Lvfl. For some representative uncertainty reasoning models, some concrete methods for selecting appropriate parameters during the uncertainty reasoning process based on lattice-valued first-order logic Lvfl are proposed. Emphasis is placed on the research of the consistent of L-type...

Estimating the parameters of complex-valued exponential signals is a very well known problem in signal processing. Osborne (1975) proposed a new iterative algorithm to estimate the unknown parameters when they are real-valued. In this paper the idea has been generalized to the complex parameters case. Theoretical justification has been provided for the convergence of the iterative process.

In this paper, we study properties of the dual process and Schrödinger-type operators of a non-symmetric diffusion with measure-valued drift. Let μ = (μ, . . . , μ) be such that each μ is a signed measure on R belonging to the Kato class Kd,1. A diffusion with drift μ is a diffusion process in R whose generator can be informally written as L + μ · ∇ where L is a uniformly elliptic differential ...

Wavelet transforms using matrix-valued wavelets (MVWs) can process the components of vector-valued signals jointly, and thus offer potential advantages over scalar wavelets. For every matrix-valued scaling filter, there are infinitely many matrix-valued wavelet filters corresponding to rotated bases. We show how the arbitrary orthogonal factor in the choice of wavelet filter can be selected ada...

In this work, we shall present some novel process to measure the similarity between picture fuzzy sets. Firstly, we adopt the concept of intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets and picture fuzzy sets. Secondly, we develop some similarity measures between picture fuzzy sets, such as, cosine similarity measure, weighted cosine similarity measure, set-theoretic similar...

Let $(X,d)$ be an infinite compact metric space, let $(B,parallel . parallel)$ be a unital Banach space, and take $alpha in (0,1).$ In this work, at first we define the big and little $alpha$-Lipschitz vector-valued (B-valued) operator algebras, and consider the little $alpha$-lipschitz $B$-valued operator algebra, $lip_{alpha}(X,B)$. Then we characterize its second dual space.

Single-valued neutrosophic hesitant fuzzy set (SVNHFS) is a combination of single-valued neutrosophic set and hesitant fuzzy set, and its aggregation tools play an important role in the multiple criteria decision-making (MCDM) process. This paper investigates the MCDM problems in which the criteria under SVNHF environment are in different priority levels. First, the generalized single-valued ne...

Functional magnetic resonance imaging (fMRI) data are originally acquired as complex-valued images, which motivates the use of complex-valued data analysis methods. Due to the high dimension and high noise level of fMRI data, order selection and dimension reduction are important procedures for multivariate analysis methods such as independent component analysis (ICA). In this work, we develop a...

The Classical statistical inference for integer valued time-series has primarily been restricted to the integer valued autoregressive (INAR) process. Markov chain Monte Carlo (MCMC) methods have been shown to be a useful tool in many branches of statistics and is particularly well suited to integer valued time-series where statistical inference is greatly assisted by data augmentation. Thus in ...