0

in this paper, we propose a new definition of intuitionistic fuzzyquasi-metric and pseudo-metric spaces based on intuitionistic fuzzy points. weprove some properties of intuitionistic fuzzy quasi- metric and pseudo-metricspaces, and show that every intuitionistic fuzzy pseudo-metric space is intuitionisticfuzzy regular and intuitionistic fuzzy completely normal and henceintuitionistic fuzzy nor...

A notion of biologic system or just a system implies a functional wholeness of comprising system components. Positive and negative feedback are the examples of how the idea to unite anatomical elements in the whole functional structure was successfully used in practice to explain regulatory mechanisms in biology and medicine. There are numerous examples of functional and metabolic pathways whic...

In a graph G = (V, E), a vertex v ∈ V is said to distinguish two vertices x and y if dG(v, x) 6= dG(v, y). A set S ⊆ V is said to be a local metric generator for G if any pair of adjacent vertices of G is distinguished by some element of S. A minimum local metric generator is called a local metric basis and its cardinality the local metric dimension of G. A set S ⊆ V is said to be a simultaneou...

In this article we consider the stochastic restricted ridge estimation in semipara-metric linear models when the covariates are measured with additive errors. The development of penalized corrected likelihood method in such model is the basis for derivation of ridge estimates. The asymptotic normality of the resulting estimates are established. Also, necessary and sufficient condition...

introduction: appropriate definition of the distance measure between diffusion tensors has a deep impact on diffusion tensor image (dti) segmentation results. the geodesic metric is the best distance measure since it yields high-quality segmentation results. however, the important problem with the geodesic metric is a high computational cost of the algorithms based on it. the main goal of this ...

Here we present an efficient calculation of comprehensive Gröbner systems to derive specific conditions for neural circuits as well as electric circuits. Comprehensive Gröbner systems (CGS) have been applied to problems with a small number of parameters such as the automatic geometric theorem proving and the inverse kinematics problem of a robot arm. In CGS, however, a larger number of paramete...

Although mixed-integer evolution strategies (MIES) have been successfully applied to optimization of mixed-integer problems, they may encounter challenges when fitness evaluations are time consuming. In this paper, we propose to use a radial-basis-function network (RBFN) trained based on the rank correlation coefficient distance metric to assist MIES. For the distance metric of the RBFN, we mod...

In this paper, we propose improving Suzuki-Sato’s algorithm for computing CGS. This paper consists of two parts. In the first part, using known algebraic manipulations on affine varieties, we describe a detail of basic manipulations to improve Suzuki-Sato’s algorithm. In the second part, we present a new algorithm which improves Nabeshima’s approach to compute a CGS. Nabeshima’s approach uses G...