Dr.K.KALAIARASI KALAICHELVAN

@cauverycollege.ac.in

ASSISTANT PROFESSOR OF MATHEMATICS
Cauvery College for women Autonomous

Dr.K.KALAIARASI KALAICHELVAN


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https://researchid.co/kalaiarasi
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

EDUCATION

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.

RESEARCH INTERESTS

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

FUTURE PROJECTS

FUZZY INVENTORY MODELS WITH MACHINE LEVEL LANGUAGE

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


Applications Invited
51

Scopus Publications

480

Scholar Citations

11

Scholar h-index

14

Scholar i10-index

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

  • Fuzzy Graph Theory–Enhanced Gradient Boosting Regression with Network Flow Graphs for Effective Inventory Management Amid Shortages
    K Kalaiarasi, N Sindhuja
    Graph Theory for Computer Science, 213-231 , 2025
    2025
  • NEUTROSOPHIC GRADED MEAN INTEGRATION OF FUZZY NON-LINEAR ECONOMIC ORDER QUANTITY WITH POWER AND TIME CONSUMPTION TOTAL COST MODEL.
    V Sundhari, S Shunmugapriya, K Kalaiarasi
    Palestine Journal of Mathematics 14 (3) , 2025
    2025
  • Fuzzy Inventory Implementation of Minimum Value Unused Storing Profitable by Python
    K Iyappan¹, MCJ Anand, K Kalaiarasi, N Sindhuja
    Intelligent and Fuzzy Systems: Intelligent Industrial Informatics and … , 2024
    2024
  • Incorporating machine learning methods for predictive maintenance and fuzzy inventory optimization
    S Shobana, MS Wavare, K Kalaiarasi, T Bhaskar, MCJ Anand, N Sindhuja
    International Conference on Intelligent and Fuzzy Systems, 666-678 , 2024
    2024
    Citations: 8
  • Fuzzy inventory implementation of minimum value unused storing profitable by python execution
    K Iyappan, MCJ Anand, K Kalaiarasi, N Sindhuja, G Sumathi, M Tiwari
    International Conference on Intelligent and Fuzzy Systems, 429-442 , 2024
    2024
    Citations: 6
  • Fuzzy inventory grinding production process optimization for rotor manufacturing using Python and MATLAB
    K Iyappan, OM Teraiya, K Kalaiarasi, S Swathi, P Sharda, MCJ Anand
    International Conference on Intelligent and Fuzzy Systems, 443-456 , 2024
    2024
    Citations: 6
  • Energizing Inventory Management to Optimize Energy Consumption of Handling Shortages by Neutrosophic Fuzzy Trapezoidal Number.
    N Sindhuja, MS Kumari, K Kalaiarasi, M GJ, S HY
    International Journal of Neutrosophic Science (IJNS) 24 (1) , 2024
    2024
    Citations: 4
  • Optimization of Neutrosophic Vendor-Buyer Economic Order Quantity Model Using Particle Swarm Optimization.
    K Kalaiarasi, N Anitha, S Swathi, B Ranjitha
    International Journal of Neutrosophic Science (IJNS) 23 (4) , 2024
    2024
    Citations: 3
  • Fuzzy Vendor-Buyer Trade Credit Inventory Model-Pentagonal Numbers
    K Kalaiarasi, S Swathi, SMNI Naz
    Emergent Converging Technologies and Biomedical Systems: Select Proceedings … , 2024
    2024
  • Optimization of fuzzy inventory management in industrial processes using deep learning algorithms: a hybrid approach for enhancing demand forecasting and supply chain efficiency
    K Kalaiarasi, S Swathi
    Adv. Eng. Letters. 3 (4), 141-153 , 2024
    2024
    Citations: 5
  • DEVELOPMENT AND EVALUATION OF A CENTROID-BASED EOQ MODEL FOR ITEMS SUBJECT TO DEGRADATION AND SHORTAGES
    K KALAIARASI, S SWATHI
    Journal of applied mathematics & informatics 42 (5), 1063-1076 , 2024
    2024
  • OPTIMIZATION OF STOCK MANAGEMENT SYSTEM WITH DEFICIENCIES THROUGH FUZZY RATIONALE WITH SIGNED DISTANCE METHOD IN SEABORN PROGRAMING TOOL
    K Kalaiarasi, N Sindhuja
    Journal of applied mathematics & informatics 42 (2), 379-390 , 2024
    2024
    Citations: 2
  • Arithmetic operations of trigonal fuzzy numbers using alpha cuts: a flexible approach to handling uncertainty
    K Kalaiarasi, S Swathi
    Indian Journal of Science and Technology 16 (47), 4585-4593 , 2023
    2023
    Citations: 7
  • An investigation of inventory optimization by using geometric programming technique with decagonal fuzzy number representation.
    HM Henrietta, K Kalaiarasi, M Sumathi, VN Jayamani, AS Raj
    Nonlinear Studies 30 (4) , 2023
    2023
    Citations: 1
  • Fuzzy C-means clustering with MAIRCA-MCDM method in classifying feasible logistic suppliers of electrical products
    MCJ Anand, K Kalaiarasi, N Martin, B Ranjitha, SS Priyadharshini, ...
    2023 First International Conference on Cyber Physical Systems, Power … , 2023
    2023
    Citations: 21
  • Fuzzy vendor–buyer trade credit inventory model-pentagonal numbers in permissible limits delay in account settlement with supervised learning
    K Kalaiarasi, S Swathi, SMN Islam
    International conference on emergent converging technologies and biomedical … , 2023
    2023
    Citations: 2
  • Diagnosing the Abnormalities in Brain Tumors with the Technique of K-Means Clustering with Knowledge Acquisition
    K Kalaiarasi, N Sindhuja, SMN Islam
    2023 International Conference on Advancement in Computation & Computer … , 2023
    2023
  • The optimality representation of a finite-life inventory model with exiguous defectives with Hessian matrix approach
    K Kalaiarasi, H Mary Henrietta, M Sumathi, A Stanley Raj
    Nonlinear Studies 30 (2), 393-398 , 2023
    2023
    Citations: 2
  • Conormal Product for Intutionistic Anti-Fuzzy Graphs
    K Kalaiarasi, L Mahalakshmi, N Kausar, ABMS Islam
    International Journal of Fuzzy Logic and Intelligent Systems 23 (1), 79-90 , 2023
    2023
    Citations: 4
  • Negative Valued Ideals of Fuzzy KM-Subalgebras
    K Kalaiarasi, V Manimozhi
    Indian Journal of Science and Technology 16 (12), 872-883 , 2023
    2023

MOST CITED SCHOLAR PUBLICATIONS

  • Optimization of fuzzy assignment model with triangular fuzzy numbers using Robust Ranking technique
    K Kalaiarasi, S Sindhu, M Arunadevi
    International Journal of Innovative Science, Engg. Technology 1 (3), 10-15 , 2014
    2014
    Citations: 31
  • Design and development of modified ensemble learning with weighted rbm features for enhanced multi-disease prediction model
    AS Prakaash, K Sivakumar, B Surendiran, S Jagatheswari, K Kalaiarasi
    New Generation Computing 40 (4), 1241-1279 , 2022
    2022
    Citations: 28
  • Fuzzy inventory EOQ optimization mathematical model
    K Kalaiarasi, R Gopinath
    International Journal of Electrical Engineering and Technology 11 (8), 169-174 , 2020
    2020
    Citations: 24
  • Stochastic lead time reduction for replenishment python-based fuzzy inventory order eoq model with machine learning support
    K Kalaiarasi, R Gopinath
    International Journal of Advanced Research in Engineering and Technology 11 … , 2020
    2020
    Citations: 22
  • Fuzzy C-means clustering with MAIRCA-MCDM method in classifying feasible logistic suppliers of electrical products
    MCJ Anand, K Kalaiarasi, N Martin, B Ranjitha, SS Priyadharshini, ...
    2023 First International Conference on Cyber Physical Systems, Power … , 2023
    2023
    Citations: 21
  • Fuzzy intelligence inventory decision optimization model of sustainability and green technologies for mixed uncertainties of carbon emission
    MCJ Anand, CB Moorthy, S Sivamani, S Indrakumar, K Kalaiarasi, ...
    2023 International Conference on Information Management (ICIM), 78-82 , 2023
    2023
    Citations: 18
  • Optimization of the average monthly cost of an EOQ inventory model for deteriorating items in machine learning using PYTHON
    K Kalaiarasi, R Soundaria, N Kausar, P Agarwal, H Aydi, H Alsamir
    Thermal Science 25 (Spec. issue 2), 347-358 , 2021
    2021
    Citations: 16
  • Determining the efficiency of fuzzy logic EOQ inventory model with varying demand in comparison with Lagrangian and Kuhn-Tucker method through sensitivity analysis
    K Kalaiarasi, M Sumathi, HM Henrietta, AS Raj
    J. Model Based Res 1 (3), 1-12 , 2020
    2020
    Citations: 16
  • Optimization of fuzzy integrated vendor-buyer inventory models
    W Ritha, R Kalaiarasi, YB Jun
    Annals of Fuzzy Mathematics and Informatics 2 (2), 239-257 , 2011
    2011
    Citations: 15
  • WITHDRAWN: Optimization of unconstrained multi-item (EPQ) model using fuzzy geometric programming with varying fuzzification and defuzzification methods by applying python
    K Kalaiarasi, MS Begum, M Sumathi
    Materials today: proceedings , 2021
    2021
    Citations: 13
  • Economic Order Quantity in a Fuzzy Environment for a PeriodicInventory Model with Variable Demand
    K Kalaiarasi, HM Henrietta, M Sumathi, AS Raj
    Iraqi Journal for Computer Science and Mathematics 3 (1), 11 , 2022
    2022
    Citations: 11
  • Solutions of fuzzy transportation problem using best candidates method and different ranking techniques
    A Christi
    International Journal of Mathematical and Computational Sciences 11 (4), 182-187 , 2017
    2017
    Citations: 11
  • Optimization of fuzzy inventory model for EOQ using Lagrangian method
    K Kalaiarasi, M Sumathi, HM Henrietta
    Malaya Journal of Matematik 7 (3), 497-501 , 2019
    2019
    Citations: 10
  • An introduction to fuzzy strong graphs,fuzzy soft graphs,complement of fuzzy strong and soft graphs
    LM K .Kalaiarasi
    Global journal of pure and applied mathemtics 13 (6), 2235-2254 , 2018
    2018
    Citations: 10
  • Optimizing EOQ using geometric programming with varying fuzzy numbers by applying Python
    K Kalaiarasi, M Sumathi, H Mary Henrietta
    Journal of Critical Reviews 7 (18), 596-603 , 2020
    2020
    Citations: 9
  • Optimization of fuzzy integrated two-stage vendor-buyer inventory system
    R Kalaiarasi, W Ritha
    International Journal of Mathematical Sciences and Applications 1 (2), 650-670 , 2011
    2011
    Citations: 9
  • Incorporating machine learning methods for predictive maintenance and fuzzy inventory optimization
    S Shobana, MS Wavare, K Kalaiarasi, T Bhaskar, MCJ Anand, N Sindhuja
    International Conference on Intelligent and Fuzzy Systems, 666-678 , 2024
    2024
    Citations: 8
  • Arithmetic operations of trigonal fuzzy numbers using alpha cuts: a flexible approach to handling uncertainty
    K Kalaiarasi, S Swathi
    Indian Journal of Science and Technology 16 (47), 4585-4593 , 2023
    2023
    Citations: 7
  • A data-driven research on optimizing supply chain logistics for manufacturing companies: A predictive modeling approach
    I Winner, B Akwesie, V Sharma, S Swathi, K Kalaiarasi
    Artificial Intelligence and Machine Learning Applications to Computational … , 2023
    2023
    Citations: 7
  • The shortest path on minimal spanning tree with triangular single-valued neutrosophic intuitionistic fuzzy graph
    K Kalaiarasi, R Divya
    Parishodh J 9, 3899-3903 , 2020
    2020
    Citations: 7

Publications

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.

RESEARCH OUTPUTS (PATENTS, SOFTWARE, PUBLICATIONS, PRODUCTS)

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.

Industry, Institute, or Organisation Collaboration

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.