ASSISTANT PROFESSOR OF MATHEMATICS
Cauvery College for women Autonomous
I was born in Tiruchirappalli, Tamil, Tamil Nadu, India Tamil Nadu, India on February 25, 1981. completed B.Sc., and M.Sc., Mathematics from Holy Cross College Autonomous affiliated to Bharathidasan University, Tiruchirappalli, M.Phil Mathematics in Nadu India on February 25, 1981. I completed B.Sc., and M.Sc., Mathematics from Holy Cross College Autonomous affiliated to Bharathidasan University, Tiruchirappalli, M.Phil Mathematics in College Autonomous affiliated to Bharathidasan University, Thiruchirappalli, and completed Ph.D. in Mathematics from Manonmanium University, Thirunelveli. I am having more than 16 years of experience and presently I am working as a Professor in PG and Research Department of Mathematics, Cauvery college for women, Trichy. My research interests include Fuzzy Inventory Models, Operations Research, Data Science, Machine Learning, I have more than 90 publications in a total of which are 80 journal publications includes Scopus, Web of Scien
Ph.D. (Mathematics) from Manonmanium Sundaranar University, Thirunelveli, TN. Have awarded in the year 12th, August 2013.
Passed SET(State level Eligibility Test) in the year 2017.
M.Phil., (Mathematics) from St. Joseph College, Bharathidasan University, Trichy, TN with 91% in the year March 2005.
M.Sc., (Mathematics) from Holy Cross College, Bharathidasan University, Trichy, TN with 87% in the year April 2003.
B.Sc., (Mathematics) from Holy Cross College, Bharathidasan University, Trichy, TN with 86% in the year April 2001.
I was born in Tiruchirappalli, Tamil, Tamil Nadu, India Tamil Nadu, India on February 25, 1981. completed B.Sc., and M.Sc., Mathematics from Holy Cross College Autonomous affiliated to Bharathidasan University, Tiruchirappalli, M.Phil Mathematics in Nadu India on February 25, 1981. I completed B.Sc
Abstract. Trade Credit is an important service in modern business operation. Therefore to incorporate the concept of vendor-buyer integra- tion and ordersize, dependent trade credit, we present a stylized model to determine the optimal strategy for an integrate vendor-buyer inven- tory system under the condition of trade credit. This paper develops an approach to determine the optimum economic order quantity and total annual integrated cost for both vendor and buyer under the fuzzy arith- metical operations of function principle are proposed. A full fuzzy model is developed where the input parameters annual demand, production rate, set up cost, holding cost, purchase cost, transportation cost, order processing cost, carrying cost are fuzzy trapezoidal numbers. The optimal policy for the fuzzy production inventory model is determined using the algorithm of extension of the Lagrangean method for solving inequality constraint problem and graded mean integration method is used for def
K. Kalaiarasi, L. Mahalakshmi, Nasreen Kausar, and A. B. M. Saiful Islam Korean Institute of Intelligent Systems
M. Clement Joe Anand, C. Balakrishna Moorthy, S. Sivamani, S. Indrakumar, K. Kalaiarasi, and Amir Barhoi IEEE
In many areas, carbon cap-and-trade and carbon offsets are frequent and significant mechanisms for reducing carbon emissions. Furthermore, particular capital investments in green technologies can efficiently cut carbon emissions from corporate activities. However, such capital investments are expensive, and not all businesses/company can afford them. As a result, if all members of a supply chain agree to share facility investments, the supply chain can cut carbon emissions while also increasing profit. This study utilized crisp and fuzzy models to fix perishable products in the production process. The suggested model, for study is solved using python in machine learning. To cut carbon emissions and increase the total value of the supply chain system, we planned to integrate manufacturing, distribution, replenishment, and technology. Several cases are simulated, and the key parameters are subjected to sensitivity analysis. Under various carbon emission rules, the optimal solutions and joint total profit are also compared. Companies should be able to share risks by co-investing and building sustainable supply chains as a part of the future carbon emission control trend.
K Kalaiarasi, N Sindhuja, and Sardar M. N. Islam IEEE
A tumor-tumor is a mass of abnormal cells in the body out of control, raising the pressure inside the skull known as pulmonary hypertension. Human brain tumors have recently emerged as one of the leading causes of death for a large number of people. The much more difficult and cutting-edge field is medical image processing, particularly when it comes to using neuroimaging (MRI) to find brain cancers in people. Furthermore, early discovery can treat serious conditions and save lives. Additionally, classified into non imaging method that generates high-quality MR images that are ideal for detecting aberrant growth, such as a brain tumor. This study suggested a model for detecting brain cancers that combines the K-means algorithms and an enhanced perceptron classifier. It demonstrates an effective technique for automatically segmenting brain tumors to remove tumors in mice from MR images. For greater performance, segmentation is done in this procedure utilizing the K-means-based approach. When compared to other clustering protocols, this improves the tumor borders more and is quite quick. The suggested method yields great outcomes.
A. S. Prakaash, K. Sivakumar, B. Surendiran, S. Jagatheswari, and K. Kalaiarasi Springer Science and Business Media LLC
Kalaichelvan Kalaiarasi, L. Mahalakshmi, Nasreen Kausar, Sajida Kousar, and Parameshwari Kattel Hindawi Limited
Fuzzy soft graphs are efficient numerical tools for simulating the uncertainty of the real world. A fuzzy soft graph is a perfect fusion of the fuzzy soft set and the graph model that is widely used in a variety of fields. This paper discusses a few unique notions of perfect fuzzy soft tripartite graphs (PFSTG), as well as the concepts of complement of perfect fuzzy soft tripartite graphs (CPFSTGs). Because soft sets are most useful in real-world applications, the newly developed concepts of perfect soft tripartite fuzzy graphs will lead to many theoretical applications by adding extra fuzziness in analysing. We look at some of their properties and come up with a few results that are related to these concepts. Furthermore, we investigated some fundamental theorems and illustrated an application of size of perfect fuzzy soft tripartite graphs in employee selection for an institution using the perfect fuzzy soft tripartite graph.
K. Kalaiarasi, S. Daisy, and M. Sumathi Elsevier BV
K. Kalaiarasi, MARY HENRIETTA H, M. Sumathi, and A. Stanley Raj College of Education - Aliraqia University
The technique of limiting expenditure plays a critical part in an organization's ability to govern the smooth operation of its management system. The economic order quantity (EOQ) is calculated by solving a nonlinear problem, and the best solution is investigated in a fuzzy and intuitionistic fuzzy environment. The overall cost is made up of several factors, such as demand, holding, and ordering costs. The demand and stock-out characteristics were both fuzzified using fuzzy and intuitionistic fuzzy numbers. The numerical analysis shows the comparison between the two fuzzy numbers through sensitivity analysis.
M. Nagamani and K. Kalaiarasi Elsevier BV
K. Kalaiarasi, R. Soundaria, Nasreen Kausar, Praveen Agarwal, Hassen Aydi, and Habes Alsamir National Library of Serbia
In many stock disintegration issues of the real world, the decay pace of certain things might be influenced by other contiguous things. Depending on the situation, the influence of weakened items can be reduced by eliminating them through examination. We specify a model that impacts the average monthly cost, and the non-linear programming Lagrangian method is solved the specified model. The fuzzify inventory model is used to determine the lowest cost by employing a trapezoidal fuzzy number, and the defuzzification process is performed using the graded mean integration representation method. To test the model, we created a CSV file, used PYTHON (version 3.8.5), we developed a program to predict the economic order quantity and total cost.
K. Kalaiarasi, V. Manimozhi, N. Kausar, D. Pamucar, S. Kousar, and Y. U. Gaba Hindawi Limited
The concept of KM-algebras has been originated in 2019. KM-algebra is a generalization of some of the B-algebras such as BCK, BCI, BCH, BE, and BV and also d-algebras. KM-algebra serves two purposes in mathematics and computer science as follows: a tool for application in both fields and a strategy for creating the foundations. On the fuzziness of KM-algebras, an innovative perspective on fuzzy product KM-algebras as well as some related features is offered. Moreover, the notion of KMM-ideals is described and also initiated the concept of the KM-Cartesian product of fuzzy KM-algebras, and related outcomes are examined. Some of the innovative results in fuzzy KMM-ideals and KM-Cartesian product of fuzzy KM-subalgebras are analyzed, and some are as follows: arbitrary intersection of fuzzy KMM-ideals is again a fuzzy KMM-ideal, order reversing holds true in every KMM-ideal, every fuzzy KM-subalgebra is a fuzzy KMM-ideal, and KM-Cartesian product of two fuzzy KM-subalgebras is again a fuzzy KM-subalgebra.
K. Kalaiarasi, M. Sumathi, and S. Daisy Union of Researchers of Macedonia
Kalaiarasi k, Sumathi M, and Mary Henrietta H Institute of Advanced Scientific Research
R. Sivasubramanian and K. Kalaiarasi IEEE
Grid Computing is one of the emerging techniques in this real time environment. Network figuring is the gathering of PC assets from numerous areas to achieve a typical objective. The matrix can be considered as a disseminated framework with non-intuitive workloads that include countless. The reallocation of the grids is one of the challenging task through which merely the occupied grids are wasted with the reusability condition. The Existing researchers have proven that reallocation of grid will result in the efficient improvement of the grid usability through which the total grid advance into the second generation of Grid Reallocation Scheme. This paper describes the reallocation process with the λ process through which every grids stability and working conditions are verified and those grids are having the challenging results with the maximum occupancy is chosen and those grids are resynthesized and reformed to be a fresh grid through which the grid is reused for the conventional purposes. The referred technique follows with the X-Grid Algorithm though which this reallocation process is achieved.
Optimization of Fuzzy Integrated Vendor-Buyer Inventory Models, Annals of Fuzzy Mathematics and Informatics, Volume 2, Number 2, October 2011, .
Optimization of Fuzzy Integrated Two Stage Vendor-Buyer Inventory System, International Journal of Mathematical Sciences and Applications, Volume.1, Number 2 (May 2011).
Optimization of EOQ model on the boundaries of the fillrate, International Mathematical Forum, Volume 6, Number 63, 2011, pp 3101-3110.
Optimization of a Multiple Vendor Single Buyer Integrated Inventory Model with a Variable number of Vendors, International Journal of Mathematical Sciences and Engineering Applications (IJMSEA) ISNN 0973-9424, Vol.5, Nov (Sep 2011), .
Optimization of Single Supplier Multiple Cooperative Retailers Inventory Model with Quantity Discount and Permissible Delay in Payments, International Journal of Advance in Mathematical Sciences, ISSN: 0973-5798, Volume 1, Number 61 (Jan-June 2011).
Fuzzy EOQ Model with the Impact of Stochastic Leadtime Reduction on Inventory Cost under Order Crossover, Fuzzy Sets, Rough Sets and Multivalued operations and Applications, Serial Publications, July- Dec 2011.
Optimization of EOQ Inventory Models with Two Backorders, International Journal of Mathematics, IJAM Issues, Vol.2, Number, 2010-2011, IJAM , Issue 01, .
An Entropic EOQ with imperfect quality inventory control dynamic programming, IJAIR,Vol. 2 ,Issue 3 ,ISSN: 2278-7844, 2013, IJAIR.
The optimization of inventory EOQ concept was developed to calculate replenishment order size for a single item inventory system without space constraints. The basic inventory EOQ model determines the order quantity considering the trade-off between order cost and inventory cost.
Chapter I deal with the fundamental concepts and a brief historical note on fuzzy inventory model.
Chapter II deals with the annual integrated total cost for both the vendor and the buyer and the total cost of the integrated two stage inventory system for the relationship of vendor-buyer.
Chapter III explains an inventory model with Taguchi’s cost of poor quality and on the boundaries of the fill rate in a fuzzy situation by employing the signed distance method which is triangular.
Chapter IV deals with the impact of stochastic leadtime reduction on inventory cost under order crossover by using Yager’s method.
Chapter V discusses a sequential optimization method by using Kuhn-Tucker conditions with a variable number of vendors and quality discount and permissible delay in payments.
Chapter VI provides a closed form optimal solution to the integrated vendor-buyer inventory systems with backlogging level considering both linear and fixed backorder costs.
Chapter VII contains the fuzzy cooperation in a multi-client distribution
network via fuzzy geometric programming.
Working as an Assistant Professor in PG and Research Department of Mathematics at Cauvery College of women (Autonomous), Trichy from Feb 2016 to till date
Worked as a Professor in Department of Mathematics at Vel Tech University, Avadi,Chennai from Dec-2014 to Feb 2016.
Worked as an Associate Professor in Department of Mathematics at Cambridge Institute of technology , K.R.Puram, Bangalore from Dec-2013 to Dec 2014
Worked as an Assistant Professor in Department of Mathematics at CMRIT College, K.R.Puram, Bangalore from Dec-2010 to Dec-2013
Worked as a Lecturer in Department of Mathematics at SEA College, K.R.Puram Bangalore from Dec-2008 to June-2009
Worked as a Lecturer in Department of Mathematics at Lowry Memorial College, K.R.Puram Bangalore from Dec-2006 to June-2007.
Worked as a Lecturer in Department of Mathematics at Urumu Dhanalakshmi College, Trichy, TN from Dec-2003 to Mar-2005.
Worked as a Lecturer in Department of Mathematics at Holy Cross College, Trichy, TN from Jun-2003 to Oct-2003.