Dr.K.KALAIARASI KALAICHELVAN

@cauverycollege.ac.in

ASSISTANT PROFESSOR OF MATHEMATICS
Cauvery College for women Autonomous



                    

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
32

Scopus Publications

217

Scholar Citations

8

Scholar h-index

7

Scholar i10-index

Scopus Publications

  • Image Caption Generation Using Recurrent Convolutional Neural Network


  • Conormal Product for Intutionistic Anti-Fuzzy Graphs
    K. Kalaiarasi, L. Mahalakshmi, Nasreen Kausar, and A. B. M. Saiful Islam

    Korean Institute of Intelligent Systems

  • Fuzzy C-Means Clustering with MAIRCA -MCDM Method in Classifying Feasible Logistic Suppliers of Electrical Products
    M. Clement Joe Anand, K. Kalaiarasi, Nivetha Martin, B. Ranjitha, S. Sujitha Priyadharshini, and Mohit Tiwari

    IEEE
    The sustainability of the electrical industries and persistent production runs are dependent on their suppliers. Logistic supplier selection is an indispensable one for electrical products manufacturing concerns. The identification of feasible logistic suppliers is essential and very significant before employing the ranking methods of determining the optimal suppliers. This paper proposes a hybrid decision-making approach that integrates the Fuzzy c-means clustering (FCM) algorithm and the multi-criteria decision-making method of MAIRCA (Multi-Attributive Ideal-Real Comparative Analysis). The hybrid model is two phases in which the interface of the machine learning algorithm performs the task of classifying the logistic suppliers of electrical products based on their feasibility in the first phase. The MAIRCA method is applied in the second phase of ranking the suppliers of electrical products. The efficacy of the hybrid method is tested by comparing the ranking outcomes of the alternatives of logistic suppliers with and without the interference of fuzzy c-means clustering, it results that the integrated MCDM method with fuzzy c-means clustering seems to be more time and cost-efficient. The results of the proposed hybrid method are more convincing and the efficacy of the method is measured in terms of time and cost efficiency.

  • The optimality representation of a finite-life inventory model with exiguous defectives with Hessian matrix approach


  • The shortest path problem on chola period built temples with Dijkstra's algorithm in intuitionistic triangular neutrosophic fuzzy graph


  • Fuzzy Intelligence Inventory Decision Optimization Model of Sustainability and Green Technologies for Mixed Uncertainties of Carbon Emission
    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.

  • Diagnosing the Abnormalities in Brain Tumors with the Technique of K-Means Clustering with Knowledge Acquisition
    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.

  • Design and Development of Modified Ensemble Learning with Weighted RBM Features for Enhanced Multi-disease Prediction Model
    A. S. Prakaash, K. Sivakumar, B. Surendiran, S. Jagatheswari, and K. Kalaiarasi

    Springer Science and Business Media LLC

  • The Characterization of Fuzzy and Anti Fuzzy Ideals in AG-groupoid


  • n-DOMINATION IN VERTEX SQUARED DOUBLE DIVIDE INTERVAL-VALUED FUZZY GRAPHS


  • Perfect Fuzzy Soft Tripartite Graphs and Their Complements
    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.


  • Economic Order Quantity in a Fuzzy Environment for a Periodic Inventory Model with Variable Demand
    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.


  • OPTIMIZATION OF THE AVERAGE MONTHLY COST OF AN EOQ INVENTORY MODEL FOR DETERIORATING ITEMS IN MACHINE LEARNING USING PYTHON
    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.

  • Fuzzy Product KM-Subalgebras and Some Related Properties
    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.


  • Fuzzy economic order quantity inventory model using lagrangian method
    K. Kalaiarasi, M. Sumathi, and S. Daisy

    Union of Researchers of Macedonia

  • Optimization of fuzzy inventory EOQ model using kuhn-tucker method
    Kalaiarasi k, Sumathi M, and Mary Henrietta H

    Institute of Advanced Scientific Research

  • Optimization of fuzzy EOQ model with unit time depended constant demand and shortages


  • Systematic grid reallocation through reliable k process
    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.

  • A novel approach for resource re-allocation in grid computing


  • An entropic EOQ inventory control using dynamic programming


  • Optimal fuzzy cooperation in deterministic inventory situations


  • Optimization of fuzzy partial back ordering economic order quantity model on the boundaries of the fill rate


RECENT SCHOLAR PUBLICATIONS

  • 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

  • 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

  • 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

  • The Optimization Machine Learning Approach Of Sensitive Analysis Of Fuzzy Inventory Germination Of Plants Generates One-Year-Old-Seeds And Two-Year-Old-Seeds With Fuzzy Inventory
    S Shunmugapriya, V Sundhari, K Kalaiarasi
    Journal of Survey in Fisheries Sciences, 344-355 2023

  • 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

  • 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

  • The optimality representation of a finite-life inventory model with exiguous defectives with Hessian matrix approach.
    K Kalaiarasi, HM Henrietta, M Sumathi, AS Raj
    Nonlinear Studies 30 (2) 2023

  • 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

  • Negative Valued Ideals of Fuzzy KM-Subalgebras
    K Kalaiarasi, V Manimozhi
    Indian Journal of Science and Technology 16 (12), 872-883 2023

  • 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

  • NEUTROSOPHIC INVENTORY MODEL WITH QUICK RETURN FOR DAMAGED MATERIALS AND PYTHON-ANALYSIS
    K Kalaiarasi, S Swathi
    2023 Neutrosophic SuperHyperAlgebra And New Types of Topologies, 219 2023

  • The shortest path problem on chola period built temples with Dijkstra’s algorithm in intuitionistic triangular neutrosophic fuzzy graph
    K Kalaiarasi, R Divya, VN Mishra
    Infinite Study 2023

  • 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

  • The Characterization of Substructures of-Anti Fuzzy Subgroups with Application in Genetics
    K Kalaiarasi, P Sudha, N Kausar, S Kousar, D Pamucar, NAD Ide
    Discrete Dynamics in Nature and Society 2022 2022

  • Determining the efficient optimal order quantity for an Inventory model with varying Fuzzy components
    K Kalaiarasi, HM Henrietta, M Sumathi
    Journal of Algebraic Statistics 13 (3), 1263-1270 2022

  • The characterization of fuzzy and anti fuzzy ideals in AG-groupoid
    N Kausar, M Munir, P Agarwal, K Kalaiarasi
    Thai Journal of Mathematics 20 (2), 653-667 2022

  • Comparative Study on Robust Ranking Technique and Magnitude Ranking Method for Fuzzy Linear Programming Problem
    E Kuppusamy, VE Sasikala
    Journal of Algebraic Statistics 13 (2), 1592-1600 2022

  • Perfect Fuzzy Soft Tripartite Graphs and Their Complements
    K Kalaiarasi, L Mahalakshmi, N Kausar, S Kousar, P Kattel
    Discrete Dynamics in Nature and Society 2022 2022

  • n-DOMINATION IN VERTEX SQUARED DOUBLE DIVIDE INTERVAL-VALUED FUZZY GRAPHS.
    K Kalaiarasi, P Geethanjali
    South East Asian Journal of Mathematics & Mathematical Sciences 18 (1) 2022

  • The Economic Order Quantity in a Fuzzy Environment for a Periodic Inventory Model with Variable Demand
    K Kalaiarasi, M Sumathi, AS Raj
    Iraqi journal for Computer science and Mathematics 3 (1), 102-107 2022

MOST CITED SCHOLAR PUBLICATIONS

  • 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
    Citations: 19

  • 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
    Citations: 19

  • Fuzzy Inventory EOQ Optimization Mathematical Model
    K Kalaiarasi, R Gopinath
    International Journal of Electrical Engineering and Technology 11 (8), 169-174 2020
    Citations: 17

  • 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
    Citations: 12

  • 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
    Journal of Model Based Research 1 (3), 1-12 2020
    Citations: 11

  • 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
    Citations: zy strong graphs,fuzzy soft graphs,complement of fuzzy strong and soft graphs

  • An Introduction to Fuzzy strong graphs, Fuzzy soft graphs, complement of fuzzy strong and soft graphs
    K Kalaiarasi, L Mahalakshmi
    Global Journal of Pure and Applied Mathematics 13 (6), 2235-2254 2017
    Citations: 11

  • Solutions of fuzzy transportation problem using best candidates method and different ranking techniques
    MSA Christi
    International Journal of Mathematical and Computational Sciences 11 (4), 182-187 2017
    Citations: 10

  • 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
    Citations: 8

  • Optimization of unconstrained multi-item (EPQ) model using fuzzy geometric programming with varying fuzzification and defuzzification methods by applying python
    K Kalaiarasi, M Sabina Begum, M Sumathi
    Mater. Today Proc 2021
    Citations: 7

  • Optimization of grafting parameters of nylon6-graft-acrylic acid copolymer using ceric ammonium nitrate as an initiator
    B Sheela, K Kalaiarasi, K Vijayalakshmi, PN Sudha
    International Journal of Applied and Advanced Scientific Research 1 (2 2016
    Citations: 6

  • Optimization of economic order quantity model on the boundaries of the fill rate
    R Kalaiarasi, W Ritha
    International Mathematical Forum 6 (63), 3101-3110 2011
    Citations: 6

  • optimization of fuzzy EOQ model with unit time dependent constant demand and shortages
    D K.Kalaiarasi,Sumathi
    International journal of Mechanical Engineering and Technology 9 (11), 1520-1527 2018
    Citations: 5

  • Different Types of Edge Sequence in Pseudo Regular Fuzzy Graphs
    K Kalaiarasi, P Geethanjali
    International Journal of Pure and Applied Mathematics 118 (6), 95-104 2018
    Citations: 5

  • Coloring of regular and strong arcs fuzzy graphs
    K Kalaiarasi, L Mahalakshmi
    International Journal of Fuzzy Mathematical Archive 14 (1), 59-68 2017
    Citations: 5

  • 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
    Citations: 4

  • Optimizing EOQ Using Geometric Programming with Varying Fuzzy Numbers by Applying PYTHON
    K Kalaiarasi, M Sumathi, HH Mary
    Journal of Critical Reviews 7 (18), 596-603 2020
    Citations: 4

  • The shortest path on minimal spanning tree with triangular single-valued neutrosophic intuitionistic fuzzy graph
    K Kalaiarasi, R Divya
    Parishodh journal, 3899-3903 2020
    Citations: 4

  • Regular and irreguar mpolar fuzzy graphs
    K Kalaiarasi, L Mahalakshmi
    Global Journal of Mathematical Sciences: Theory and Practical 9 (2), 139-152 2017
    Citations: 4

  • A Survey on IEEE Standards for Mobile Ad Hoc Networks
    KPK Rao, K Kalaiarasi
    IOSR Journal of Engineering 5 (02), 55-64 2015
    Citations: 4

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.