Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Statistical mediation and moderation analysis are well-known throughout the behavioral studies. Gradually, these techniques are being incorporated in the contour of the study of mediated moderation or moderated mediation. An entire child approach towards education focuses awareness on the community, emotional, psychological, corporal as well as cognitive progress of students. At its central part such a arrival to observe the principle of schooling as developing future citizens and providing the foundation for every child to carry out their future. It has five creed based upon child growth, which emphasizes the approach and affirms that all child in both school and in society earns to be healthy, safe, engaged, supported and challenged. This structure has been worn as the gallows in the expansion of a choice of school upgrading processes that make certain that the approach is incorporated and classified into the progression and strategy of the school, locality, and society. The outline does not seek out to dissociate itself from intellectual increase but it does seek out to enlarge what comprise academic advance in the 21st century and intends to relocate concentration on all traits essential for enlightening and communal accomplishment. Parallel mediation and moderation model is applied for the study. © IAEME Publication

Institute for Industry and International Programme

Vellore Campus

Department of Mathematics

School of Advanced Sciences

International Journal of Advanced Research in Engineering and Technology

Mediation and moderation model on whole child education

A variable that roots between the dependent and independent variables is a mediator. The fundamental roles in data analysis necessitate various variables mainly when the new variables are inflated among reliant and self-sufficient variables. Several areas especially in psychology, industry, edification, science, production area, etc mediation analysis is obliged that desire regression analysis. For many studies mediation analysis is feasible. In addition to it, using fuzzy mediation theory whenever the variables are not plainly distinct at times it is much more logical to articulate the data. For instance, the variables using fuzzy numbers are superior to articulate than using real numbers (crisp numbers). Some models of unclear mediation study using membership grade functions on behavioral science have been proposed in this study with few examples. The entire, straight and not direct effects are found out using psychological data for the mediator and confounding variable to exist. Also the standard error and confidence intervals are estimated. © 2020 Alpha Publishers. All rights reserved.

Journal of Green Engineering

Fuzzy optimization of mediation on behavioral study using membership grade functions

Advancement in technology and engineering poses us with many challenges, similarly in order to overcome such engineering challenges with the help of numerous mathematical models, equations are taken. Since in the beginning Mathematicians, Designers and Engineers strive for correctness and accuracy while solving equations Differential equations, in particular, hold a tremendous application in engineering and many other domains. One such type of Differential equation is known as partial differential equation. The spectrum of application of partial differential equations consists of simulation, algorithm generation, and analyzation of higher order PDE and wave equations. Adapting different numerical methods leads to a variety of answers and difference among them, therefore the selection of the method of solving is one of the crucial parameters to generate precise results. Our work focuses on the review of different numerical methods in order to solve Linear and Nonlinear differential equations on the basis of accuracy and efficiency, so as to reduce the iterations. These would be harmonizing guidelines to existing numerical methods of linear and nonlinear partial differential equations. © IJSTR 2020.

World University root node

International Journal of Scientific and Technology Research

Solving linear and non-linear partial differential equations using numerical techniques

The article aims in analysing healthcare expenditure of India, as it struggles to meet the health care requirements of all the citizens. In order to acheieve this, it is important to understand the trends in healthcare expenditure of the country to create a sustainable health expenditue model. Post millenium, with various reforms and increased awareness, a certain redistribution can be observed among different arms that contribute to total healthcare expenditure.This study reviews and summarise the expenditure trends between the years 2004 and 2014. Numerical illustrtions are also provided to show the government and private sectors contributions on the health care products.

VIT Unitversity

Fulltext

International Journal of Engineering & Technology

A Case Study of Health Expenditure in India

Technology has revolutionized human world over the past centuries. The world has started to move towards the autonomous world. However, in terms of security and safety of humans from antisocial threat person, technology has not achieved its peak in providing autonomous system. Places such as airport, railways stations, and malls are well secured either by metal detectors or by manual scrutiny. Moreover, the current scenario demands a very high security in common places such as hospital, schools, and community halls where manual security checks might not be possible. In this work an autonomous system is developed to detect and track concealed weapons with potential to stop the threat person before causing any harm or danger. The system achieves its task by carrying out three main functions in a sequential order. A microwave sensor and metal detector together detects the concealed weapon by means of the Doppler shift in the radiation and eddy currents induced in the metal respectively. Secondly, the output voltage from the microwave senor is processed by a microcontroller. Lastly, a DC motor attached with a laser pointer, receives input from microcontroller such that rotates in a direction pointing the concealed weapon.

AAGC-Autonomous Armed Guard Companion

A fuzzification is the conversion of an exact quantity to uncertainty. A more generalized fuzzy set called intuitionistic fuzzy set is defuzzified to propose its application in career development to find the homogeneity among students and their career using analysis of variance (ANOVA). The proposed test procedure is well illustrated using a numerical example. The main purpose of this paper is to give a view of intuitionistic fuzzy set with the application of ANOVA technique to emphasize the efficiency in career development. © 2018, Springer Nature Switzerland AG.

Trends in Mathematics Advances in Algebra and Analysis

Intuitionistic Fuzzy ANOVA and Its Application Using Different Techniques

This paper depicts simple and a helpful conclusion (normal or abnormal) of iris disease utilizing Wavelet Transform. The factual parameter like entropy extend are processed for iris image procured by Wavelet Transform and Wavelet Packet Transform. These parameters decide the variations from the norm showed in the iris image.In Image processing, we are introducing a novel approach to Wavelet transformation with respect to statistical parameter which are used to identify the tumor. The aim of this paper is to analyze this biomedical signal from the biomedical image of iris cancer and gather the information to diagnose, monitor, therapy control and evaluation. © RJPT All right reserved.

Research Journal of Pharmacy and Technology

A novel iris cancer detection using wavelet and wavelet packet transform

Trends in Mathematics

Preface

A heuristic statisticalmethod for testing intuitionistic fuzzy hypotheses of onefactor and two factor ANOVA model using intuitionistic fuzzy data samples is proposed. In this method, the decision rules to accept or reject the null and alternative hypotheses are given. The idea of the proposed procedure has been clarified with the help of numerical examples using R studio. © RJPT. All right reserved.

Intuitionistic Fuzzy ANOVA and its Application in Medical Diagnosis

This paper presents two vehicle cost varying transportation problem with imprecise costs. Robust’s ranking method is adopted for ranking the imprecise data. The two vehicle cost varying fuzzy transportation problem has been transformed into crisp one and solved by proposed algorithm. Numerical example is provided to illustrate the approach. © 2016,International Journal of Pharmacy and Technology. All rights reserved.

International Journal of Pharmacy and Technology

A new method for solving two vehicle cost varying fuzzy transportation problem

New statistical hypothesis tests with respect to membership grades of fuzzy set(s) using analysis of variance in Latin Square Design for finding the effect of factors of classification of a population are proposed. The decision rules to be taken about the null hypothesis based on the F-test statistic value which is defined on the grades of the membership function of the fuzzy set(s) for each individual observation of the random sample or samples, are given. The proposed technique is demonstrated with numerical examples for understanding. © Research India Publications.

Global Journal of Pure and Applied Mathematics

Analysis of variance in Latin square design using membership grades of fuzzy sets

This paper develops a heuristic algorithm for finding the feasible solution for two vehicle cost varying transportation problem using acceptability index under imprecise environment. The procedure of the proposed approach is illustrated by numerical illustration. © 2016,International Journal of Pharmacy and Technology. All rights reserved.

A new method for solving two vehicle cost varying fully interval transportation problem

Tests of fuzzy hypotheses based on linear correlation using small sample data with membership grades are presented which are tests of characteristics or attributes. The t-test statistic with respect to a fuzzy set / fuzzy sets are defined using the membership grades. Also, the rules for making decisions about the fuzzy hypotheses are provided. Further, the linguistic data examples are given for understanding the proposed testing procedures. The proposed tests of hypotheses can help decision makers to analyze a linear relation between two attributes on a population or between two populations on an attribute. © Research India Publications.

Fuzzy hypothesis testing based on linear correlation

Tests of statistical hypotheses with crisp data using small samples are extended to with membership function of the fuzzy sets. The t-test statistic and the F-test statistic with respect to fuzzy sets are defined using the membership grades of the fuzzy sets. The rules for taking decision about the hypotheses are provided. In the proposed tests, the optimistic and pessimistic approach, h-level set, α-cut and fuzzy interval are not used. Numerical examples are provided for understanding the proposed testing procedures. The proposed tests of hypotheses may be useful to decision makers who are handling real life problems involving linguistic variables / fuzzy sets for taking suitable decisions in an acceptable manner.

Modern Applied Science

Tests of statistical hypotheses with respect to a fuzzy set

International Journal of Scientific Research

Analysis of Variance For Crisp Data with Membership Grades of Fuzzy Sets

A new test procedure of one-sample statistical hypotheses for means in normal populations with interval data is proposed. The interval decision rules that are used to accept or reject the null and alternative hypotheses are given. With the help of the numerical example, the proposed test procedure is illustrated. The proposed test is extended to statistical hypotheses testing for fuzzy data.