scholarly journals New Diagnosis Test under the Neutrosophic Statistics: An Application to Diabetic Patients

2020 ◽  
Vol 2020 ◽  
pp. 1-7 ◽  
Author(s):  
Muhammad Aslam ◽  
Osama H. Arif ◽  
Rehan Ahmad Khan Sherwani

The diagnosis tests (DT) under classical statistics are applied under the assumption that all observations in the data are determined. Therefore, these DT cannot be applied for the analysis of the data when some or all observations are not determined. The neutrosophic statistics (NS) which is the extension of classical statistics can be applied for the data having uncertain, unclear, and fuzzy observations. In this paper, we will present the DT, and gold-standard tests under NS are called neutrosophic diagnosis tests (NDT). Therefore, the proposed NDT is the generalization of the existing DT and can be applied under the uncertainty environment. We will present the NDT table and present a real example from the medical field. The use of the proposed method will be more effective and adequate to be used in medical science, biostatistics, decision, and classification analysis.

2019 ◽  
Vol 2019 ◽  
pp. 1-8 ◽  
Author(s):  
Muhammad Aslam

The variable data is obtained from the measurement process which is not fully complete or clear in nature due to measurement error. The neutrosophic statistics which is the extension of classical statistics can be applied in the industry for the lot senescing when observations or parameters are uncertain or indeterminate or unclear. In this manuscript, a new sampling plan for the measurement error using the neutrosophic statistics is designed. The proposed sampling plan has two neutrosophic parameters, namely, sample size and acceptance number. The neutrosophic operating function is also given. The neutrosophic plan parameters will be determined through the neutrosophic optimization problem. Some tables are given for some specified parameters. From the comparison study, it is concluded that the proposed sampling plan is more flexible, adequate, and effective in the uncertainty environment as compared to the existing sampling plan under the classical statistics. A real example is given for the illustration purpose.


2020 ◽  
Vol 2020 ◽  
pp. 1-6 ◽  
Author(s):  
Muhammad Aslam ◽  
Osama H. Arif

The Hotelling T-squared statistic has been widely used for the testing of differences in means for the multivariate data. The existing statistic under classical statistics is applied when observations in multivariate data are determined, precise, and exact. In practice, it is not necessary that all observations in the data are determined and precise due to measurement in complex situations and under uncertainty environment. In this paper, we will introduce the Hotelling T-squared statistic under neutrosophic statistics (NS) which is the generalization of classical statistics and applied under uncertainty environment. We will discuss the application and advantage of the neutrosophic Hotelling T-squared statistic with the aid of data. From the comparison, we will conclude that the proposed statistic is more adequate and effective in uncertainty.


Author(s):  
Muhammad Ahtisham Aslam

The existing Rayleigh distribution under classical statistics has been widely applied for analyzing the data having all determined, certain, and precise observations. The neutrosophic statistics (NS) are the extension of classical statistics and applied under uncertainty environment. In this chapter, the authors introduce the neutrosophic Rayleigh distribution (NRD) under the NS. The proposed NRD is the generalization of the existing Rayleigh distribution. The authors give some basic properties of the proposed distribution. An application of the proposed distribution is discussed with the help of wind speed data.


Symmetry ◽  
2018 ◽  
Vol 10 (12) ◽  
pp. 690 ◽  
Author(s):  
Muhammad Aslam ◽  
Nasrullah Khan ◽  
Mohammed Albassam

Existing control charts based on failure-censored (Type-II) reliability tests were designed using classical statistics. Classical statistics was applied for the monitoring of the process when observations in the sample or the population were determined. Neutrosophic statistics (NS) are applied when there is uncertainty in the sample or population. In this paper, a control chart for failure-censored (Type-II) reliability tests was designed using NS. The design of a control chart for the Weibull distribution, which is applied when there is a lack of symmetry using neutrosophic statistics, is given. The proposed control chart was used to monitor the neutrosophic mean and neutrosophic variance, which are related to the neutrosophic scale parameter. The advantages of the proposed control chart over the existing control chart are discussed.


Author(s):  
Zaigham Tahir ◽  
Hina Khan ◽  
Muhammad Aslam ◽  
Javid Shabbir ◽  
Yasar Mahmood ◽  
...  

AbstractAll researches, under classical statistics, are based on determinate, crisp data to estimate the mean of the population when auxiliary information is available. Such estimates often are biased. The goal is to find the best estimates for the unknown value of the population mean with minimum mean square error (MSE). The neutrosophic statistics, generalization of classical statistics tackles vague, indeterminate, uncertain information. Thus, for the first time under neutrosophic statistics, to overcome the issues of estimation of the population mean of neutrosophic data, we have developed the neutrosophic ratio-type estimators for estimating the mean of the finite population utilizing auxiliary information. The neutrosophic observation is of the form $${Z}_{N}={Z}_{L}+{Z}_{U}{I}_{N}\, {\rm where}\, {I}_{N}\in \left[{I}_{L}, {I}_{U}\right], {Z}_{N}\in [{Z}_{l}, {Z}_{u}]$$ Z N = Z L + Z U I N where I N ∈ I L , I U , Z N ∈ [ Z l , Z u ] . The proposed estimators are very helpful to compute results when dealing with ambiguous, vague, and neutrosophic-type data. The results of these estimators are not single-valued but provide an interval form in which our population parameter may have more chance to lie. It increases the efficiency of the estimators, since we have an estimated interval that contains the unknown value of the population mean provided a minimum MSE. The efficiency of the proposed neutrosophic ratio-type estimators is also discussed using neutrosophic data of temperature and also by using simulation. A comparison is also conducted to illustrate the usefulness of Neutrosophic Ratio-type estimators over the classical estimators.


Lituanistica ◽  
2020 ◽  
Vol 66 (4) ◽  
Author(s):  
Palmira Zemlevičiūtė

The article deals with the names referring to persons engaged in medicine and related sciences as used in the 1920 issues of Medicina, a medical theory and practice magazine of independent Lithuania. The author identifies their meanings and typical groups, discusses their composition and characteristics, and, to some extent, touches upon the matters of their structure and origin. The names of the actors in the medical field carry a high degree of semantic diversity and fall into four identifiable core groups: (1) the names of persons administering treatment, (2) the names of medical training persons, (3) the names of pharmacy persons, and (4) the names of persons undergoing treatment. Within these groups, names further branch off into subgroups based on a set of different, often individual aspects. Still, there are several frequently occurring aspects that should be distinguished: these are the aspects of college medical education, the connection with the military, and the qualifying degree. Although all names of these actors in the medical field are covered by the overarching seme of medicine, they all vary in differential semes. In terms of word formation, the prevailing names for the actors in the medical field are compound words with their key components mostly deriving from Lithuanian terms. Obviously, the prevalence of compounds is the outcome of the need to name different persons associated with medical science and practice, as well as patients, something that cannot be done with single-word terms. Today, many think of a scientific text as one defined by an abundance of foreign terms. The subject source of the names for the actors in the medical field is a science magazine, yet most of the names are of Lithuanian origin. Many of them are suffixal derivatives: gydytojas ‘physician’, mokovas ‘expert’, slaugytojas ‘nurse’, pribuvėja ‘midwife’, seselė ‘sister’, vaistininkas ‘pharmacist’, ligonis ‘a sick person’, džiovininkas ‘a consumptive’, etc. Loanwords are dominated by words of Latin (daktaras ‘doctor’, medikas ‘medic’, pacientas ‘patient’, provizorius ‘pharmaceutical chemist’, sanitaras (‘orderly’), etc.) and Greek (anatomas ‘anatomist’, chirurgas ‘surgeon’, fiziologas ‘physiologist’, terapeutas ‘therapist’, etc.) origin. Hybrids are not very common and usually have a borrowed root and a Lithuanian suffix (stipendininkas ‘scholar’, farmacininkas ‘pharmacist’, venerininkas ‘a male with a venereal disease’, kretinaitė ‘a female with cretinism’, and so on). Conformity with the terminological criterion can mostly be observed in the names of persons administering treatment, whereas a number of the names of persons undergoing treatment are not very terminological due to them being expressed by substantival adjectives and, typically, participles (apsikrėtusysis ‘one who has caught a disease’, pažeistasis ‘(the) affected’, sergantysis ‘(the) sick’, sveikasis ‘(the) healthy’, etc.), or descriptive word combinations (akių liga sergantysis ‘one with an eye disease’, grįžtamąja šiltine sergantysis (‘one with recurrent typhus’, etc.). In addition to linguistic and terminological evidence, the names of actors in the medical field convey a certain amount of subject-related (medical) information. Their meanings provide insight into the medical situation in Lithuania in 1920, practitioners, the most common illnesses of the period, and so on.


Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-6 ◽  
Author(s):  
Muhammad Aslam ◽  
Osama H. Arif

A new test of independence under neutrosophic statistics for testing the association between two criteria of classification is presented in this paper. The necessary contingency tables for the neutrosophic population and the neutrosophic sample are presented. The test statistic of the proposed test is introduced under neutrosophic statistics. A real example from education is selected to explain the proposed test. From the real example, it is concluded that the proposed test of independence is more informative, flexible, and suitable to be applied under uncertainty as compared to the existing test under classical statistics.


Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 870 ◽  
Author(s):  
Aslam ◽  
Hasan Arif

In this paper, the diagnosis of the manufacturing process under the indeterminate environment is presented. The similarity measure index was used to find the probability of the in-control and the out-of-control of the process. The average run length (ARL) was also computed for various values of specified parameters. An example from the Juice Company is considered under the indeterminate environment. From this study, it is concluded that the proposed diagnosis scheme under the neutrosophic statistics is quite simple and effective for the current state of the manufacturing process under uncertainty. The use of the proposed method under the uncertainty environment in the Juice Company may eliminate the non-conforming items and alternatively increase the profit of the company.


Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 330 ◽  
Author(s):  
Muhammad Aslam ◽  
Mohammed Albassam

This paper presents an epidemiological study on the dietary fat that causes prostate cancer in an uncertainty environment. To study this relationship under the indeterminate environment, data from 30 countries are selected for the prostate cancer death rate and dietary fat level in the food. The neutrosophic correlation and regression line are fitted on the data. We note from the neutrosophic analysis that the prostate cancer death rate increases as the dietary fat level in the people increases. The neutrosophic regression coefficient also confirms this claim. From this study, we conclude that neutrosophic regression is a more effective model under uncertainty than the regression model under classical statistics. We also found a statistical correlation between dietary fat and prostate cancer risk.


Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-8 ◽  
Author(s):  
Mohammed Albassam ◽  
Nasrullah Khan ◽  
Muhammad Aslam

The W/S test under neutrosophic statistics is proposed in this paper. The Monte Carlo simulation under the neutrosophic statistical interval method is proposed and applied to study the sensitivity of various neutrosophic statistical distributions. The power of test curves for neutrosophic distributions is presented. The efficiency of the proposed W/S test under neutrosophic statistics is compared with that of the W/S test under classical statistics. The proposed test is explained with the aid of an example.


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