scholarly journals Multivariate Analysis under Indeterminacy: An Application to Chemical Content Data

2020 ◽  
Vol 2020 ◽  
pp. 1-6 ◽  
Author(s):  
Muhammad Aslam ◽  
Osama H. Arif
Keyword(s):  
Multivariate Analysis ◽  
Multivariate Data ◽  
Classical Statistics ◽  
Chemical Content ◽  
Neutrosophic Statistics ◽  
Uncertainty Environment

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.

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
Keyword(s):  
Gold Standard ◽  
Medical Science ◽  
Diabetic Patients ◽  
Medical Field ◽  
Classification Analysis ◽  
Classical Statistics ◽  
Neutrosophic Statistics ◽  
New Diagnosis ◽  
Uncertainty Environment ◽  
Standard Tests

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.

scholarly journals Product Acceptance Determination with Measurement Error Using the Neutrosophic Statistics

2019 ◽  
Vol 2019 ◽  
pp. 1-8 ◽  
Author(s):  
Muhammad Aslam
Keyword(s):  
Measurement Error ◽  
Sample Size ◽  
Optimization Problem ◽  
Sampling Plan ◽  
Measurement Process ◽  
Comparison Study ◽  
Classical Statistics ◽  
Neutrosophic Statistics ◽  
Variable Data ◽  
Uncertainty Environment

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.

Neutrosophic Rayleigh Distribution With Some Basic Properties and Application

2020 ◽  
pp. 119-128 ◽  
Author(s):  
Muhammad Ahtisham Aslam
Keyword(s):  
Wind Speed ◽  
Rayleigh Distribution ◽  
Wind Speed Data ◽  
Basic Properties ◽  
Classical Statistics ◽  
Neutrosophic Statistics ◽  
Uncertainty Environment

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.

scholarly journals Control Chart for Failure-Censored Reliability Tests under Uncertainty Environment

Symmetry ◽  
2018 ◽  
Vol 10 (12) ◽  
pp. 690 ◽  
Author(s):  
Muhammad Aslam ◽  
Nasrullah Khan ◽  
Mohammed Albassam
Keyword(s):  
Weibull Distribution ◽  
Control Chart ◽  
Control Charts ◽  
Scale Parameter ◽  
Type Ii ◽  
Classical Statistics ◽  
Neutrosophic Statistics ◽  
Uncertainty Environment

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.

scholarly journals Neutrosophic ratio-type estimators for estimating the population mean

2021 ◽  
Author(s):  
Zaigham Tahir ◽  
Hina Khan ◽  
Muhammad Aslam ◽  
Javid Shabbir ◽  
Yasar Mahmood ◽  
...  
Keyword(s):  
Minimum Mean Square Error ◽  
Auxiliary Information ◽  
Population Parameter ◽  
Uncertain Information ◽  
Population Mean ◽  
Classical Statistics ◽  
Neutrosophic Statistics ◽  
The Mean ◽  
Type Data ◽  
First Time

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.

scholarly journals Management Multivariate Analysis Methods for Variables Measurement in Scientific Papers

2019 ◽  
Vol 3 (1) ◽  
pp. 65-72
Author(s):  
Yulianto Yulianto ◽  
Namira Robihaningrum ◽  
Bella Dhea Elinda
Keyword(s):  
Multivariate Analysis ◽  
Data Analysis ◽  
Research Methods ◽  
Multivariate Data Analysis ◽  
Multivariate Data ◽  
Scientific Research ◽  
Independent Variables ◽  
Several Variables ◽  
Dependent Variables ◽  
Scientific Papers

The management of writing a scientific papers we already know has important chapters in the writing. And have a way of choosing in a variety of methods. There are problems in this study, namely the absence of the use of research methods in scientific-rich management. Then one of them is needed by multivariate data analysis management to become one of the methods in writing scientific papers. Multivariate data is data collected from two or more observations by measuring these observations with several characteristics. There are 2 (two) methods in multivariate data, namely dependency and interdependence methods. Dependency analysis functions to explain or predict dependent variables by using two or more independent variables. Focused on the dependency method there are 9 (nine) classifications. It is expected that the multivariate data analysis management can help writers to use scientific research methods well and be able to analyze the influence of several variables on other variables at the same time

scholarly journals Test of Association in the Presence of Complex Environment

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-6 ◽  
Author(s):  
Muhammad Aslam ◽  
Osama H. Arif
Keyword(s):  
Contingency Tables ◽  
Complex Environment ◽  
Test Statistic ◽  
Test Of Independence ◽  
The Real ◽  
Classical Statistics ◽  
Neutrosophic Statistics

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.

scholarly journals Classification of the State of Manufacturing Process under Indeterminacy

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 870 ◽  
Author(s):  
Aslam ◽  
Hasan Arif
Keyword(s):  
Similarity Measure ◽  
Manufacturing Process ◽  
Average Run Length ◽  
The State ◽  
Run Length ◽  
Current State ◽  
Neutrosophic Statistics ◽  
Uncertainty Environment ◽  
Measure Index

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.

scholarly journals Application of Neutrosophic Logic to Evaluate Correlation between Prostate Cancer Mortality and Dietary Fat Assumption

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 330 ◽  
Author(s):  
Muhammad Aslam ◽  
Mohammed Albassam
Keyword(s):  
Prostate Cancer ◽  
Dietary Fat ◽  
Death Rate ◽  
Prostate Cancer Risk ◽  
Cancer Death ◽  
Classical Statistics ◽  
Cancer Death Rate ◽  
Prostate Cancer Death ◽  
Fat Level ◽  
Uncertainty Environment

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.

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