P. Senthil Kumar

P. Senthil KumarP. Senthil Kumar is an Associate Professor (Mathematics) at the School of Liberal Arts & Science of Mohan Babu University, Tirupati, Andhra Pradesh, India. He received BSc, MSc, and MPhil degrees from Jamal Mohamed College (JMC), Tiruchirappalli in 2006, 2008, and 2010, respectively. Furthermore, he received a B.Ed. degree from the Jamal Mohamed College of Teacher Education in 2009. Additionally, he completed PGDCA in 2011 at Bharathidasan University and PGDAOR in 2012 at Annamalai University, Tamil Nadu, India. He completed his PhD at JMC in 2017. He has published many research papers in peer-reviewed journals. He has also presented research papers at various conferences. He has introduced the PSK (P. Senthil Kumar) method and PSK theorem for solving transportation problems (TPs) in uncertain environments. And also, he has proved the supporting theorem, which states that the solution obtained by the PSK method for solving fuzzy TPs is always an optimal solution. Its relevant articles have been published in Springer and IGI Global Journals which are indexed in Scopus and WoS. His areas of research interest include operations research and fuzzy and intuitionistic fuzzy optimization.

Publications

AI-Driven Decision Support System for Intuitionistic Fuzzy Assignment Problems
AI-Driven Decision Support System for Intuitionistic Fuzzy Assignment Problems
P. Senthil Kumar. © 2024. 47 pages.
The assignment problem (AP) is a well-known optimization problem that deals with the allocation of 'n' jobs to 'n' machines on a 1-to-1 basis. It minimizes the...
Algorithms and Software Packages for Solving Transportation Problems With Intuitionistic Fuzzy Numbers
Algorithms and Software Packages for Solving Transportation Problems With Intuitionistic Fuzzy Numbers
P. Senthil Kumar. © 2024. 55 pages.
To determine the optimal value and solution for balanced and unbalanced intuitionistic fuzzy transportation problems (UBIFTPs), two different approaches are proposed in this...
The PSK Method: A New and Efficient Approach to Solving Fuzzy Transportation Problems
The PSK Method: A New and Efficient Approach to Solving Fuzzy Transportation Problems
P. Senthil Kumar. © 2023. 49 pages.
We have several logics to obtain the fuzzy optimal solution for fuzzy transportation problems (FTPs). But there is no logic to solve transportation problem (TP) under four...
The Theory and Applications of the Software-Based PSK Method for Solving Intuitionistic Fuzzy Solid Transportation Problems
The Theory and Applications of the Software-Based PSK Method for Solving Intuitionistic Fuzzy Solid Transportation Problems
P. Senthil Kumar. © 2023. 50 pages.
It proposes the PSK (P. Senthil Kumar) method for solving intuitionistic fuzzy solid transportation problems (IFSTPs). In our daily life, uncertainty comes in many ways, e.g....
Computationally Simple and Efficient Method for Solving Real-Life Mixed Intuitionistic Fuzzy 3D Assignment Problems
Computationally Simple and Efficient Method for Solving Real-Life Mixed Intuitionistic Fuzzy 3D Assignment Problems
P. Senthil Kumar. © 2022. 42 pages.
This article addresses the three-dimensional mixed intuitionistic fuzzy assignment problems (3D-MIFAPs). In this article, firstly, the author formulates an assignment problem...
Finding the Solution of Balanced and Unbalanced Intuitionistic Fuzzy Transportation Problems by Using Different Methods With Some Software Packages
Finding the Solution of Balanced and Unbalanced Intuitionistic Fuzzy Transportation Problems by Using Different Methods With Some Software Packages
P. Senthil Kumar. © 2021. 43 pages.
In this chapter, two different methodologies are proposed to find out the optimal solution to the balanced and unbalanced intuitionistic fuzzy transportation problems (UBIFTPs)....
The PSK Method for Solving Fully Intuitionistic Fuzzy Assignment Problems With Some Software Tools
The PSK Method for Solving Fully Intuitionistic Fuzzy Assignment Problems With Some Software Tools
P. Senthil Kumar. © 2020. 54 pages.
The assignment problem (AP) is a particular case of a linear programming problem that deals with the allocation of various resources for various activities on a 1-to-1 basis. It...
Developing a New Approach to Solve Solid Assignment Problems Under Intuitionistic Fuzzy Environment
Developing a New Approach to Solve Solid Assignment Problems Under Intuitionistic Fuzzy Environment
P. Senthil Kumar. © 2020. 34 pages.
When people solve real-life SAP they tend to face the uncertainty state as well as hesitation due to many uncontrollable factors. To deal with uncertainty and hesitation many...
PSK Method for Solving Mixed and Type-4 Intuitionistic Fuzzy Solid Transportation Problems
PSK Method for Solving Mixed and Type-4 Intuitionistic Fuzzy Solid Transportation Problems
P. Senthil Kumar. © 2019. 34 pages.
In this article, the author categorises the solid transportation problem (STP) under uncertain environments. He formulates the mixed and fully intuitionistic fuzzy solid...
Linear Programming Approach for Solving Balanced and Unbalanced Intuitionistic Fuzzy Transportation Problems
Linear Programming Approach for Solving Balanced and Unbalanced Intuitionistic Fuzzy Transportation Problems
P. Senthil Kumar. © 2018. 28 pages.
In this article, two methods are presented, proposed method 1 and proposed method 2. Proposed method 1 is based on linear programming technique and proposed method 2 is based on...
A Simple and Efficient Algorithm for Solving Type-1 Intuitionistic Fuzzy Solid Transportation Problems
A Simple and Efficient Algorithm for Solving Type-1 Intuitionistic Fuzzy Solid Transportation Problems
P. Senthil Kumar. © 2018. 33 pages.
This article describes how in solving real-life solid transportation problems (STPs) we often face the state of uncertainty as well as hesitation due to various uncontrollable...
Search for an Optimal Solution to Vague Traffic Problems Using the PSK Method
Search for an Optimal Solution to Vague Traffic Problems Using the PSK Method
P. Senthil Kumar. © 2018. 39 pages.
There are several algorithms, in literature, for obtaining the fuzzy optimal solution of fuzzy transportation problems (FTPs). To the best of the author's knowledge, in the...
PSK Method for Solving Intuitionistic Fuzzy Solid Transportation Problems
PSK Method for Solving Intuitionistic Fuzzy Solid Transportation Problems
P.Senthil Kumar. © 2018. 38 pages.
This article proposes a method for solving intuitionistic fuzzy solid transportation problems (IFSTPs) in which only the transportation costs are represented in terms of...
PSK Method for Solving Type-1 and Type-3 Fuzzy Transportation Problems
PSK Method for Solving Type-1 and Type-3 Fuzzy Transportation Problems
P. Senthil Kumar. © 2017. 26 pages.
In conventional transportation problem (TP), supplies, demands and costs are always certain. In this paper, the author tried to categories the TP under the mixture of certain and...
A Simple Method for Solving Fully Intuitionistic Fuzzy Real Life Assignment Problem
A Simple Method for Solving Fully Intuitionistic Fuzzy Real Life Assignment Problem
P. Senthil Kumar, R. Jahir Hussain. © 2016. 23 pages.
In solving real life assignment problem we often face the state of uncertainty as well as hesitation due to various uncontrollable factors. To deal with uncertainty and...
PSK Method for Solving Type-1 and Type-3 Fuzzy Transportation Problems
PSK Method for Solving Type-1 and Type-3 Fuzzy Transportation Problems
P. Senthil Kumar. © 2016. 26 pages.
In conventional transportation problem (TP), supplies, demands and costs are always certain. In this paper, the author tried to categories the TP under the mixture of certain and...