Objective:
Cardiovascular, especially coronary artery disease (CAD), is the number one cause of death globally. Every year, more people die from cardiovascular disease than any other disease. There ...are several factors and symptoms of coronary artery disease that are easily recognized. To find out the severity of CAD, a diagnosis of CAD is needed to facilitate medical treatment. This study aims to explain the diagnostic process for CAD using a fuzzy system and to determine the accuracy of the fuzzy system.
Design and method:
This study uses a fuzzy system to diagnose the severity of coronary artery disease. Input variables used in the study were gender, age, pulse, systolic blood pressure, cholesterol, blood sugar, triglycerides, electrocardiogram (ECG), chest pain, shortness of breath, and cough. In making the system, 90 data were used which were then divided into two types of data, namely 70 training data and 20 testing data. The fuzzy inference system used in this study is the Mamdani inference system which uses centroid defuzzification and maximum defuzzifier mean of maxima (MOM). This defuzzification process is used to diagnose types of coronary artery disease, namely: CAD level 1 (Asymptomatic), CAD level 2 (Angina Pectoris), and CAD level 3 (Acute Myocardial Infarction).
Results:
The results of the research on the application of the fuzzy system for diagnosing coronary artery disease were the accuracy of the defuzzification centroid method of 98.5% for training data and 95% for testing data, while for the MOM defuzzification method, the accuracy level of training data was 98.5% and 90% for testing data.
Conclusions:
Based on the research results, it can be concluded that the centroid defuzzification method is better than the MOM defuzzification system for the coronary artery disease diagnosis system, so, it can be said that by using a fuzzy system with centroid defuzzification, the probability of correctly diagnosing one patient is 95%.
In this paper, we defined (F, h, a, u) -( ) -contractions using pair of (F, h) upper class functions for a-admissible and u-subadmissible mappings.We proved some fixed point theorems for this type ...contractive mappings in b-metric spaces. Our results generalize a-admissible results in the literature.
(Weakly) n-nil cleanness of the ring Zm Khashan,Hani A; Handam,Ali H
Communications Series A1 Mathematics & Statistics,
2/2018, Letnik:
67, Številka:
2
Journal Article
Recenzirano
Let R be an associative ring with identity. For a positive integer n≥2, an element a∈R is called n-potent if aⁿ=a . We define R to be (weakly) n-nil clean if every element in R can be written as a ...sum (a sum or a difference) of a nilpotent and an n-potent element in R. This concept is actually a generalization of weakly nil clean rings introduced by Danchev and McGovern, 6. In this paper, we completely determine all n,m∈ℕ such that the ring of integers modulo m, ℤm is (weakly) n-nil clean.
Ebola virus is one of the most virulent pathogens for humans. We present a mathematical description of different Susceptible-Exposed-Infectious- Recovered (SEIR) models. By using mathematical ...modeling and analysis, the latest major outbreak of Ebola virus in West Africa is described. Our aim is to study and discuss the properties of SEIR models with respect to Ebola virus, the information they provide, and when the models make sense. We added to the basic SEIR model demographic effects in order to analyze the equilibria with vital dynamics. Numerical simulations confirm the theoretical analysis. The control of the propagation of the virus through vaccination is investigated and the case study of Liberia is discussed in detail.
This article presents optimal fractional control. This control is based on the property of the invariance of a fractional order differential equation. The problem formulation of the used control is ...expressed by diffusive representation. The fractional control problem is described in a minimization form, where the global optimum represents the diffusive realization of the controller. To determine the optimal fractional diffusive control, an adaptive partitioning algorithm is used. As an application, we have chosen the control of a DC motor with uncertain parameters.
The author consider hyperspaces in the setting of textures and di-
topological texture spaces. According to that, the de nitions of hypertexture,
plain hypertexture and hyperspace of ditopological ...texture space are presented.
Then the author obtained some properties of hypertextures in the categorical
respect and give some examples of hypertextures.