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Mediative Sugeno’s-TSK Fuzzy Logic Based Screening Analysis to Diagnosis of Heart Disease

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Applied Mathematics 2019年第6期10卷 448-467页

作者： Nitesh Dhiman mukesh kumar sharma Department of Mathematics C.C.S. University Meerut India

Fuzzy logic is an approach which deals with the incomplete information to handle the imperfect knowledge. In the present research paper we have proposed a new approach that can handle the imperfect knowledge, in a broader way that we will consider the unfavourable case also as the intuitionistic fuzzy logic does. The mediative fuzzy logic is an extensive approach of intuitionistic fuzzy logic, which provides a solution, when there is a contradiction in the expert knowledge for favourable as well as unfavourable cases. The purpose of the present paper is to design a mediative fuzzy inference system based Sugeno-TSK model for the diagnosis of heart disease. Our proposed method is the extension of Sugeno-TSK fuzzy logic controller in the form of Sugeno-TSK mediative fuzzy logic controller.

关键词： Fuzzy Logic Intuitionistic Fuzzy Logic Mediative Fuzzy Logic Sugeno’s Fuzzy Controller Fuzzy Rule Firing Level Heart Disease

Pulsatile MHD Flow in an Inclined Catheterized Stenosed Artery with Slip on the Wall

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Journal of Biomedical Science and Engineering 2014年第4期7卷 194-207页

作者： mukesh kumar sharma Kuldip Singh Seema Bansal Department of Mathematics Guru Jambheshwar University of Science & Technology Hisar India

Catheter is commonly used by the surgeons for various reasons in the treatment of a patient suffering with cardiovascular diseases. Catheterization increases the mean flow resistance in the arterial blood flow and many other complications are associated with the presence of catheter in the artery. Effects of catheter in stenosed artery can be estimated non-invasively by means of hemo-dynamic indicator-WSS, WSSG, volume flow rate and impedance. The effect of slip at the arterial wall, inclination of the artery and magnetic field on the hemodynamic indicators and flow profiles are computed, presented and discussed through graphs.

关键词： Stenosed Artery Wall Shear Stress Wall Shear Stress Gradient Impedance Catheter

Intuitionistic Neuro-Fuzzy Optimization in the Management of Medical Diagnosis

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Applied Mathematics 2021年第11期12卷 993-1020页

作者： Nivedita Seema Agrawal Dhanpal Singh mukesh kumar sharma Department of Mathematics S. S. V. (P. G.) College Hapur India Department of Mathematics Keshav Mahavidyalaya University of Delhi New Delhi India Department of Mathematics Chaudhary Charan Singh University Meerut India

Diabetes has become a major concern nowadays and its complications are affecting various organs of a diabetic patient. Therefore, a multi-dimensional technique including all parameters is required to detect the cause, its proper diagnostic procedure and its prevention. In this present work, a technique has been introduced that seeks to build an implementation for the intelligence system based on neural networks. Moreover, it has been described that how the proposed technique can be used to determine the membership together with the non-membership functions in the intuitionistic environment. The dataset has been obtained from Pima Indians Diabetes Database (PIDD). In this work, a complete diagnostic procedure of diabetes has been introduced with seven layered structural frameworks of an Intuitionistic Neuro Sugeno Fuzzy System (INSFS). The first layer is the input, in which six factors have been taken as an input variable. Subsequently, a neural network framework has been developed by constructing IFN for all the six input variables, and then this input has been fuzzified by using triangular intuitionistic fuzzy numbers. In this work, we have introduced a novel optimization technique for the parameters involved in the INSFS. Moreover, an inference system has also been framed for the neural network known as INFS. The results have also been given in the form of tables, which describe each concluding factor.

关键词： Intuitionistic Fuzzy Set Neural Network Neuro-Fuzzy System Intuitionistic Neuro-Fuzzy System Optimization Medical Diagnosis

A Study for Analyzing the Effect of Overlapping Stenosis and Dilatation on Non-Newtonian Blood Flow in an Inclined Artery

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Journal of Biomedical Science and Engineering 2016年第12期9卷 576-596页

作者： mukesh kumar sharma Vinay Nasha P. R. sharma Department of Mathematics Guru Jambheshwar University of Science & Technology Hisar India Department of Mathematics University of Rajasthan Jaipur India

The stenosis in the artery, which reduces the flow passage to blood, is a common cardiovascular disease that is responsible even for cardiac arrest sometimes. The hemodynaics reveals that the severe blockage in an artery due to stenosis generates pressure tangential stress that impacts adversely on the arterial wall downstream to stenosis and weakens the arterial wall. The site of weakened wall in the artery generates post stenotic dilatation. The objective of this paper is to study flow of blood, of non-Newtonian in nature described by Herschel-Bulkley model, in a diseased artery suffering with partly overlapped two stenoses and a dilatation distal to the stenoses. A mathematical model, describing the blood flow, has been derived using Navier-Stokes equations along with the prescribed geometry of the diseased artery. The expressions of velocity profile, resistive impedance to flow and wall shear stress (skin-friction) are derived. The effect of inclination of the vessel on the resistive impedance to flow is discussed along with the effect of rheological and geometrical parameters on the resistive impedance to flow and skin friction.

关键词： Stenotic Artery Overlapped Stenoses Dilatation Herschel-Bulkley Blood Yield Stress Resistive Impedance

Radiative Effect on Flow and Heat Transfer over a Vertically Oscillating Porous Flat Plate Embedded in Porous Medium with Oscillating Surface Temperature

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Open Journal of Fluid Dynamics 2016年第2期6卷 119-129页

作者： Monika Miglani Net Ram Garg mukesh kumar sharma Department of Mathematics Haryana College of Technology & Management Kaithal India Department of Mathematics Maharshi Dayanand University Rohtak India Department of Mathematics Guru Jambheshwer University of Science & Technology Hisar India

The effect of radiation on flow and heat transfer over a vertically oscillating porous flat plate embedded in porous medium with oscillating surface temperature is investigated. The analytic solutions of momentum and energy equations are obtained. The velocity and temperature profiles are computed. The frictional force at the plate due to viscosity of fluid is estimated in terms of non dimensional skin friction coefficient and heat convection at the plate is estimated in the form of Nusselt number. The effects of physical parameters Prandtl number Pr, Grashof number Gr, Suction parameter S and radiative parameter R on velocity and temperature profiles are analyzed through graphs. The effects of oscillation on the velocity and temperature profiles are shown through 3-D surface plot.

关键词： Radiation Suction Heat Flux Oscillating Porous Plate

Fixed Point Approximation for Suzuki Generalized Nonexpansive Mapping Using B(δ, μ) Condition

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Applied Mathematics 2022年第2期13卷 215-227页

作者： Kamal kumar Laxmi Rathour mukesh kumar sharma Vishnu Narayan Mishra Department of Mathematics Government College Faridabad India Ward Number-16 Anuppur Madhya Pradesh India Department of Mathematics Chaudhary Charan Singh University Meerut India Department of Mathematics Indira Gandhi National Tribal University Anuppur India

In this paper, we introduce AK' iteration scheme to approximate fixed point for Suzuki generalized nonexpansive mapping satisfying B(δ, μ) condition in the framework of Banach spaces. Also, an example is given to confirm the efficiency of AK' iteration scheme. Our results are generalizations in the existing literature of fixed points in Banach spaces.

关键词： AK' Iterative Scheme B(δ μ) Condition Suzuki Genertalized Nonexpansive Mappings Banach Spaces

Effect of random movement and cooperative hunting in the prey-predator system:A dynamical approach

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International Journal of Biomathematics 2024年第3期17卷 211-240页

作者： Shivam Teekam Singh mukesh kumar Department of Mathematics Graphic Era Deemed to be University 566/6 Bell RoadSociety AreaClenent Town DehradunUttarakhand 248002India Department of Computer Science and Engineering Graphic Era Deemed to be University 566/6 Bell RoadSociety AreaClement Town DehradunUttarakhand 248002India

Self-diffusion prerequisite is obtained as the spreading approach of biological *** hunting is a common behavior in predator populations that promotes predation and the coexistence of the prey-predator *** the other side,the Allee effect among prey may cause the system to become *** this paper,a difusive prey predator system with cooperative hunting and the weak Allee effect in prey populations is *** linear stability and Hopf-bifurcation analysis had been used to examine the system's *** the spatial stability of the system,the conditions for Turing instability have been *** multiple-scale analysis has been used to derive the amplitude equations of the *** stability analysis of these amplitude equations leads to the formation of Turing ***,numerical simulations are used to analyze spatial patterns forming in 1-D and *** studies indicate that the model can generate a complex pattern structure and that self-diffusion has a drastic impacton species distribution.

关键词： Prey predator system hunting cooperation Allee effect Hopf-bifurcation diffusive instability amplitudeequation

On Lie symmetries and invariant solutions of Broer-Kaup-Kupershmidt equation in shallow water of uniform depth

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Journal of Ocean Engineering and Science 2024年第3期9卷 199-206页

作者： Dig Vijay Tanwar mukesh kumar Department of Mathematics Graphic Era Deemed to be UniversityDehradun 248002India Department of Mathematics Motilal Nehru National Institute of Technology AllahabadPrayagraj 211004India

The dynamics of atmosphere and ocean can be examined under different circumstances of shallow water waves like shallow water gravity waves,Kelvin waves,Rossby waves and inertio-gravity *** influences of these waves describe the climate change adaptation on marine environment and ***,the present work aims to derive symmetry reductions of Broer-Kaup-Kupershmidt equation in shallow water of uniform depth and then a variety of exact solutions are *** represents the propagation of nonlinear and dispersive long gravity waves in two horizontal directions in shallow *** invariance of test equations under one parameter transformation leads to reduction of independent ***,twice implementations of symmetry method result into equivalent system of ordinary differential ***,the exact solutions of these ODEs are computed under parametric *** derive results entail several arbitrary constants and functions,which make the findings more *** on the appropriate choice of existing parameters,these solutions are supplemented numerically and show parabolic nature,intensive and non-intensive behavior of solitons.

关键词： BKK equation Lie symmetry method Invariance property Invariant solutions Solitons

Trigonometric tension B-spline collocation approximations for time fractional Burgers’equation

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Journal of Ocean Engineering and Science 2024年第5期9卷 508-516页

作者： Brajesh kumar Singh mukesh Gupta School of Physical and Decision Sciences Department of MathematicsBabasaheb Bhimrao Ambedkar University Lucknow 226025(UP)INDIA

This manuscript’s aim is to form and examine the numerical simulation of Caputo-time fractional nonlinear Burgers’equation via collocation approach with trigonometric tension B-splines as base ***,L 1 discretization formula is utilized for the time fractional derivative and after linearizing the nonlinear term,the trigonometric tension B-spline interpolants are utilized to get a system of simultaneous linear equations that are solved via Gauss elimination ***,numerical approximation at the desired time level is *** is demonstrated via von-Neumann approach that proposed scheme produces stable *** results of six different test examples having their analytical solutions are compared with the results in the literature to validate the accuracy and efficiency of the scheme.

关键词： Fractional Burgers’equation Trigonometric tension B-spline Collocation scheme Gauss elimination method