KEC Faculty Profile

Journals Published (International)

1. K Arun Prakash, M Suresh, "Multi-criteria decision making in linguistic values of neutrosophic trapezoidal fuzzy multi-numbers ", Evolutionary Intelligence, Vol.17,  Issue, 349 - 360 , 2024. 

2. V Yamuna, K Arun Prakash, "Fuzzy incidence coloring on cartesian product of some fuzzy incidence graphs",  Journal of Intelligent & Fuzzy Systems , 1 - 22, 2023.  

3.  K.Radhika, K Arun Prakash, "Multi-objective optimization for multi-type transportation problem in intuitionistic fuzzy environment", Journal of Intelligent & Fuzzy Systems, Vol. 43, No.1, 1439-1452, 2022.

4.  K.Arun Prakash, M.Umadevi, S. Vengataasalam, "Intuitionistic fuzzy contra beta cap generalized continuous mapping", International Journal of Mechanical Engineering, Vol.7, 910 -916, 2022.

5.   V.Yamuna, K.Arun Prakash, "A fuzzy incidence coloring to monitor traffic flow with minimal waiting time", Expert Systems with Applications, Vol.186, 1-14, 2021.

6. M.Suresh, K.Arun Prakash & S.Vengataasalam. “Multi-criteria decision making based on ranking of neutrosophic trapezoidal fuzzy numbers”. Granular. Computing. Vol.6, 943–952, 2021.

7. M.Suresh, K.Arun Prakash, Sukhpreet Kaur Sidhu, “Solution of intuitionistic fuzzy linear programming problem by dual simplex algorithm and sensitivity analysis", Computational Intelligence, Vol.37, 892 - 912, 2021.

8. M.Suresh, K.Arun Prakash,S. Vengataasalam, "A New Approach For Ranking of Intuitionistic Fuzzy Numbers", Journal of Fuzzy Extension & Applications,  Vol. 1, No. 1 ,15–26, 2020.

9. K.Radhika and K.Arun Prakash, "Ranking of Pentagonal Neutrosophic Numbers and its Applications to solve Assignment Problem", Neutrosophic Sets and Systems, Vol. 35, 464-477, 2020.

10. K.Arun Prakash, K.Radhika, M.Suresh, S.Vengataasalam, "Ratio ranking method of Triangular Single valued Neutrosophic numbers", Gedrag  & Organisatie  Review, Vol.33,No.2,pp.1368-1382, 2020.

11. K.Radhika, K.Arun Prakash, V.Yamuna,"A new ranking approach for ordering of single valued triangular neutrosophic numbers", Gedrag  & Organisatie Review,Vol.33,No.2,pp.1427-1432, 2020.

12. V.Yamuna , K.Arun Prakash , S.Indra kumar," Pythagorean Fuzzy Graph with Vertex Coloring", International Journal of Advanced Science and technology,  Vol. 29, No. 5, pp. 6312 – 6319,2020.

13. S.Indra Kumar, K.Arun Prakash, S.Vengataasalam, "Robust Numerical Method for Solving Fuzzy Volterra Integro-Differential Equations under Generalized Differentiability by Runge-Kutta Verner Method", International Journal of Advanced Science and technology,  Vol. 29, No. 5, pp. 8736-8771, 2020.

14. S Sathya, D Kalamani, C.Duraisamy, K Arun Prakash", "Intuitionistic fuzzy filters of Lattice Wajsberg algebra", Applied Mathematics and Information Science, Vol.13,No.S1,pp.115-119,2019.

15. J Revathi, D Kalamani, C.Duraisamy, K Arun Prakash," A Study of Intuitionistic Fuzzy Associative Filter in Lattice Implication Algebra", Applied Mathematics and Information Science, Vol.13,No.S1,pp.121-126,2019.

16. S Sathya, D Kalamani, C.Duraisamy, K Arun Prakash,"Some types of Intuitionistic fuzzy filters in Lattice Wajsberg algebra", Taga Journal, Vol.14, pp.266-274,2018.

17. J Revathi, D Kalamani, C.Duraisamy, K Arun Prakash," Characterizations of new types of filters in Lattice Implication algebra", Taga Journal, Vol.14, pp.323-332,2018.

18. M.Suresh, K.Arun Prakash, S.Vengataasalam, “Centriod Based Ranking To Solve Fully Intuitionistic Fuzzy Assignment Problem”, VSRD International Journal of Technical and Non-Technical Research, Vol.9, No.3, pp. 2319-2216, March 2018.

19. K. Arun Prakash K., M.Uma Devi and S.Vengataasalam, “Intuitionistic Fuzzy Almost Beta Cap Generalized Closed Mappings”, VSRD International Journal of Technical and Non-Technical Research, Vol.9, No.3, pp. 141-146, March 2018.

20. J Revathi, D Kalamani, K Arun Prakash," Certain Kinds of Intuitionistic Fuzzy Filters of Lattice Implication Algebras", Asian Journal of Research in Social Sciences and Humanities, Vol.7.No.3, pp.234-246, 2017.

21. S Sathya, D Kalamani, K Arun Prakash,"Intuitionistic Fuzzy Implicative Filters of lattice Wajsberg algebra", Asian Journal of Research in Social Sciences and Humanities, Vol.7.No.3, pp.424-437, 2017.

22. K. Arun Prakash, M. Suresh, S. Vengataasalam, "A new approach for ranking of intuitionistic fuzzy numbers using a centroid concept", Mathematical Sciences, Vol.10, pp. 177-184, 2016.

23. K. Arun Prakash, M. Suresh, S. Vengataasalam, " An Solution of Intuitionistic Fuzzy Transportation Problem", Asian Journal of Research in Social Sciences and Humanities, Vol.6.No.8, pp.2650-2658, 2016.

24. K Arun Prakash, R. Santhi, "Intuitionistic Fuzzy Semi-Generalized Quotient Mappings", Universal Journal of Mathematics, Vol.1.No.3, pp.95-100, 2016.

25. M.Uma Devi, S.Vengataasalam, K.Arun Prakash,“Intuitionistic Fuzzy-Beta Cap Generalized Irresolute Mappings”, Asian Journal of Research in Social Sciences and Humanities, Vol.6.No.6,pp.1135 -1146, 2016.

26. A.Manimaran, K.Arun Prakash, “Intuitionistic Fuzzy Weakly Contra Open Mappings in Intuitionistic Fuzzy Topological Spaces”, Asian Journal of Research in Social Sciences and Humanities, Vol.6.No.5,pp.695-704, 2016.

27. J.Prakash Maran, K.Arun Prakash, " Process variables influence on microwave assisted extraction of  pectin from waste Carcia papaya L. peel", International Journal of Biological Macromolecules, Vol.73, pp.202-206, 2015.

28. M.Suresh, S.Vengataasalam, K.Arun Prakash, " Solving Intuitionistic Fuzzy Linear  Programming Problems By Ranking Function", Journal of Intelligent and Fuzzy Systems, Vol.27, No.6, pp.3081-3087, 2014.

29. A.Manimaran, K.Arun Prakash, “Intuitionistic fuzzy contra open mappings in intuitionistic fuzzy topological space”, International Journal of Engineering and Technical Research, Vol.2, No.4, 2014, pp.160-164. 

30.  M.Uma Devi, K.Arun Prakash, S.Vengataasalam, “Intuitionistic Fuzzy-Beta Cap Generalized Closed Sets and its Applications”, International Journal of Mathematical Archive, Vol.4. No.12, pp.241-249, 2013.

31.  K.Arun Prakash, R.Santhi, “Intuitionistic fuzzy semi-generalized closed mappings”, Mathematics and Soft Computing, Vol.2, No.2, pp.85-94, 2012.

32. K.Arun Prakash, R.Santhi, “Intuitionistic fuzzy completely semi-generalized continuous mappings”, Fuzzy Mathematics and Systems, Vol.2, No.2, pp.111-122, 2012.

33. A.Manimaran, K.Arun Prakash, P.Thangaraj, “Properties of Intuitionistic Fuzzy Semi-Boundary”, Applied Mathematical Sciences, Vol.6, No.9, pp.1901-1912, 2012

34.  A.Manimaran, K.Arun Prakash, P.Thangaraj, “Intuitionistic Fuzzy Almost Open Mappings in Intuitionistic Fuzzy Topological Spaces”, International Journal of Mathematical Archive, Vol.2, No.3, pp.373-379, 2012.

35. K.Arun Prakash, R.Santhi, “Intuitionistic Fuzzy Quasi Semi-Generalized closed mappings”, International Journal of Mathematical Archive, Vol.3, No.2, pp.619-626, 2012.

36.  A.Manimaran, K.Arun Prakash, P.Thangaraj, “Intuitionistic Fuzzy Totally Continuous and Totally Semi-continuous Mappings in Intuitionistic Fuzzy Topological Spaces”, International Journal of Advanced Scientific and Technical Research, Vol.2, No.1, pp.505-509, 2011.

37.  A.Manimaran, K.Arun Prakash, P.Thangaraj, “Properties of Intuitionistic Fuzzy Boundary in Intuitionistic Fuzzy Topological Spaces”, Indian Journal of Mathematics and Mathematical Sciences, Vol.1, No.8, 2012, pp.39-47. 

38.  K.Arun Prakash, R.Santhi, “Intuitionistic Fuzzy Semi-Generalized Irresolute mappings”, Tamkang Journal of Mathematics”, Vol.42, No.2, pp.119-134, 2011.

39.  K.Arun Prakash, R.Santhi, “Intuitionistic Fuzzy Contra Semi-Generalized Continuous mappings”, Notes on Intuitionistic Fuzzy Sets, Vol.17, No.3, pp.30-40, 2011.

40.  K.Arun Prakash, R.Santhi, “Intuitionistic Fuzzy Almost Semi-Generalized Closed mappings”, Annals of Fuzzy Mathematics and Informatics, Vol.1, No.2, pp. 133- 144, 2011.

41. K.Arun Prakash, R.Santhi, “Weak and Strong Forms of Intuitionistic Fuzzy sg-irresolute mappings”, Notes on Intuitionistic Fuzzy sets, Vol.16, No.1, pp.27-39, 2010.

42.  K.Arun Prakash, R.Santhi, “On Intuitionistic Fuzzy Semi-Generalized Closed sets and its applications”, International Journal of Contemporary Mathematical Sciences, Vol.5, No.33-36, pp.1677-1688, 2010.

Paper Presented in National Conferences

1. K.Arun Prakash, R.Santhi, “Intuitionistic Fuzzy Semi-Generalized Closed sets”, National Seminar on Fuzzy Mathematics an its applications, Alagappa University, Karaikudi, March 28-29, 2008

2. K.Arun Prakash, R.Santhi, “Intuitionistic Fuzzy Semi-Generalized Quotient mappings”, Proceedings of  NCDFM 2009, Karunya University, Coimbatore, December 9-10, 2009.

3. M.Umadevi, K.Arun Prakash, S.Vengataasalam, "Intuitionistic Fuzzy Beta Cap Generalized Closed Set",Recent Trends in Analysis and Applied Mathematics,May,13.

Paper Presented in International Conferences

1. K.Arun Prakash, R.Santhi, “Intuitionistic Fuzzy Semi-Generalized Continuous mappings”, Proceedings of  International Seminar on Recent Trends in Topology and its applications, St.Joseph’s College, Irinjalakuda,March 19-21, 2009.

2. M.Umadevi, K.Arun Prakash,S.Vengataasalam, "Intuitionistic Fuzzy Beta Cap Generalized Continuous Mappings", International conference on Applied Mathematical Models,January, 2014.

3. M.Suresh, K.Arun Prakash, S.Vengataasalam, " Solving Intuitionistic Fuzzy Linear Programming Problem by Ranking Function", International Conference on Applied Mathematical Modelling, January 2016.

1. C.Duraisamy, S.Vengataasalam, K.Arun Prakash, M.Suresh, Engineering Mathematics-I, Pearson India Education, New Delhi,  First Edition, 2017.

2. C.Duraisamy, S.Vengataasalam, K.Arun Prakash, M.Suresh, Engineering Mathematics-III, Pearson India Education, New Delhi, First Edition, 2017.

3. C.Duraisamy, S.Vengataasalam, K.Arun Prakash, M.Suresh, Engineering Mathematics-II, Pearson India Education, New Delhi, First Edition, 2018.

4. C.Duraisamy, S.Vengataasalam, K.Arun Prakash, M.Suresh, Engineering Mathematics-I, Pearson India Education, New Delhi,  Second Edition, 2018.

5. C.Duraisamy, S.Vengataasalam, K.Arun Prakash, M.Suresh, Engineering Mathematics-II, Pearson India Education, New Delhi,  Second Edition, 2019.

6. C.Duraisamy, S.Vengataasalam, K.Arun Prakash, M.Suresh, Engineering Mathematics-III, Pearson India Education, New Delhi,  Second Edition, 2019.

1. Mathematics - I

2.  Mathematics - II

3. Mathematics - III

4. Matrices and Differential Equations

5. Multivariable Calculus and Complex Analysis

6.  Numerical Methods

7. Discrete Mathematics

8. Probability and Queueing Theory

9. Probability and Statistics

10. Discrete Mathematical Structures

11.  Probability Theory and Inferential Statistics

12. Applied Mathematics for Electronics Engineers

13. Number Theory and Cryptography

14. Optimization Techniques

15. Data Analytics using R Programming

16. Transforms and Probability Theory

1. 20MAT34 - Discrete Mathematical Structures

• Propositional Calculus

• Predicate Calculus

• Set Theory

• Functions

• Group Theory

2. 20MAC21  - Multivariable Calculus and Complex Analysis

• Maxima and Minima

• Constrained Maxima and Minima

• Change of Order of Integration

• Construction of Analytic Function

• Conformal Mappings

• Bilinear Transformation

• Cauchy's Integral Formula

• Laurent's Series

• Contour Integration

3. 18MAO03 - Number Theory and Cryptography

• Euclidean Algorithm

• Linear Congruences

• Fermat's Little Theorem

• Solution of Linear Congruences

• Chinese Remainder Theorem

• Tau and Sigma Function

• Mobius Function

• Euler's Phi Function

• Euler's Theorem

• Integer Factorization

• Classical Cryptographic Techniques 

4. 22MAC11  - Matrices and  Ordinary  Differential Equations (2023-24)

• • Matrices

  • First Order Linear Differential Equation

  • Bernoulli's Equation

  • Euler -Cauchy Equation

  • Legendre's Linear Equation

  • Method of Variation of Parameters

  • Laplace Transforms of Periodic Functions

  • Inverse Laplace Transform by Partial Fraction Method

  • Convolution Theorem

5. 20MAT35 - Probability Theory and Inferential Statistics

• Total Probability

• Theory of Estimation

• Testing of Hypothesis

•  Z - test for large samples

• t - test for small samples

• F - test for significance of population variances

• Chi-square test for Goodness of fit

• Chi-square test for Independence of Attributes

• Design of Experiments

6. 20ALT41 - Optimization Techniques

• Simplex Method

• Big - M Method

• Transportation Problem

 1.  Initial Basic Feasible solution

2. Optimum Solution (MODI Method)

• Assignment Problem

• Game Theory

• Network Scheduling

• Non-linear programing problem

7. 20MAO08 - Numerical Computing (2023-24)

• Solution of Algebraic and Transcendental equations

• Interpolation

• Solution of Ordinary differential equation

8. 22MAC21 - Probability and Statistics (2023-24)

• Random Variable

1. Discrete Random Variable

2. Continuous Random Variable

3.  MGF

• Standard Probability Distributions

1. Geometric Distribution

2. Uniform Distribution

3. Exponential Distribution

4. Normal Distribution

•  Two-dimensional Random Variable

• Covariance and Correlation

• Regression 

• Testing of Hypothesis

1.  Large Sample test

2. Small Sample test

3. Chi-square test

8. 20MAO03 - Data Analytics using R Programming (2023-24)

• Introduction to R 

• R Programming Structures and Functions 

• Descriptive Statistics 

• Working with data 

9.  24MAC11 - Matrices and  Ordinary  Differential Equations (2024-25)

•  Eigen Values & vectors and Quadratic forms

• First Order ODE

• Higher Order ODE

• Method of Variation of Parameters

• Simple  Harmonic Motion

• Applications of ODE to Electric Circuits

• Laplace transform

• Laplace transform of Periodic functions

• Inverse Laplace transform by Convolution theorem

10. 22MAT34 - Transforms and Probability Theory (2024 - 25) 

•  Fourier Series  and Fourier Transform

• Laplace Transform

• Z - Transform

• Random Process

1. Regulations 2018

   1. • 18MAC31 - Mathematics - III 

      • 18MAC41 - Statistic and Numerical Methods 

      • 18MAC42 - Probability and Statistics

2. Regulations 2020

   1. • 20MAC11 - Matrices and Differential Equations

      • 20MAC21 - Multivariable Calculus and Complex Analysis

3.  Regulations 2022

2. 1. • 22MAC11 - Matrices and  Ordinary Differential Equations

      • 22MAC21 - Multivariable Calculus and Complex Analysis

      • 22MAC22 - Multivariable Calculus and Partial Differential Differential Equations

      • 22MAC23 - Probability and Statistics

      • 22MAC24 - Probability Theory and Inferential Statistics

4. Regulations 2024

• 24MAC11 - Matrices and Differential Equations

• 24BCC12 – Mathematics - I 

• 24MAC21 - Multivariable Calculus and Complex Analysis

• 24MAC22 - Multivariable Calculus and Partial Differential Differential Equations

• 24MAC23 - Probability and Statistics

• 24MAC24 - Probability Theory and Inferential Statistics

• 22MAX01 - Data Analytics using R Programming

1. Programming, Data Structures and Algorithms using Python.

2. Matrix Analysis with Applications.

3. Data Analytics with Python. 

4. Data Science for Engineers.

5. Descriptive Statistics with R Software. 

6. Foundations of R Software

7. Multivariate Procedures with R

8. Statistical Learning for Reliability Analysis 

9. Python for Data science