Dr. Tapan Kumar Roy
Dr. Tapan Kumar Roy Professor, Mathematics

Contact Addresses
Residence
Quarter No- B244, B.E. College Campus, P.O.- Botanical Garden, kolkata-711 103, West Bengal, India
Phone (office)
+91 - 33 - 26684561/62/63 Ext. 526
Mobile
+91 -
email
roy_t_k@yahoo.co.in

Research Areas
Fuzzy and Intuitionistic Fuzzy set Theory.
Inventory, Transportation, Reliability Optimization.
Portfolio Optimization, Fuzzy and Stochastic Optimization, etc..

Recent Publications
2013
Surapati Pramanik, T.K. Roy (2013), Game theoretic model to the Jammu-Kashmir conflict between India and Pakistan, International Journal of Mathematical Archive-4(8), 2013, 162-170.
Payel Ghosh, T. K. Roy (2013), Fuzzy goal geometric programming problem using logarithmic deviational variables, Turkish journal of fuzzy systems, 2013 (Accepted)
Payel Ghosh, T.K.Roy (2013), Goal geometric programming problem (G2P2) with crisp and imprecise targets, Journal of global research in computer Science, 2013 (Accepted).
D. K. Jana, K. Maity, T.K. Roy (2013), A three-layer supply chain integrated production inventory model under permissible delay in payments in uncertain environments, Journal of uncertainty analysis and applications, 2013,1:6.
Sankar Prasad Mondal and Tapan Kumar Roy , First Order Linear Homogeneous Fuzzy Ordinary Differential Equation Based on Lagrange Multiplier Method, Journal of Soft Computing and Applications.
Sankar Prasad Mondal and Tapan Kumar Roy, First Order Linear Homogeneous Ordinary Differential Equation in Fuzzy Environment Based On Laplace Transform, , Journal of Fuzzy Set Valued Analysis.
A. L. Guha, T. K. Roy and M. Debnath (2013),Optimization of the Weight of the Skin Plate of a Vertical Lift Gate Based on Fuzzy Geeometric Programming Technique, Dam Engineering, vol-XXIII, Issue-3, page-106-113
Payel Ghosh, T. K. Roy.(2013) A Goal Geometric Programming Problem(G2P2) with logarithmic deviational variables and its applications on two industrial problems, Journal of Industrial engineering International 2013,9:5(accepted)
S. P. Mondal, T. K. Roy.( 2013), First order linear non homogenous ordinary differential equation in fuzzy environment, Mathematical theory and modeling, 3(1) (2013), pp.85-95.
S. P. Mondal, S. Banerjee, T. K. Roy.( 2013), First order linear homogenous ordinary differential equation in fuzzy environment, International journal of pure and applied sciences and technology, 14(1) (2013), pp.16-26.
D. K. Jana, B. Das, T.K. Roy (2013), A Partial backlogging inventory model for deteriorating item under fuzzy Inflation and discounting overrandom planning horizon: A fuzzy genetic algorithm approach, Advances in operation research, vol. 2013, article ID 973125,13 pages
D. K. Jana, K. Maity, T.K. Roy (2013), A two-warehouse EOQ model for deteriorating items and stock dependent demand under conditionally permissible delay in payment in imprecise environment, AMO- Advanced Modeling and Optimization, vol.5,No. 2, 2013.
D. K. Jana, K. Maity, T.K. Roy (2013), A Bi-fuuzy approach to a production-recycling-disposal inventory problem with environment pollution cost via genetic algorithm, International Journal of Computer Applications(0975-8887), volume 61-No. 22, January 2013.
D. K. Jana, K. Maity, T.K. Roy (2013), Multi item production inventory model with fuzzy rough coefficients via geometric programming approach, Opsearch, Springer.
Shaw,A.K. and Roy.T.K.(2013), Trapezoidal Intuitionistic Fuzzy Number with some arithmetic operations and its application on reliability evaluation, Int.J.Mathematics in Operational Research,Vol.5,No. 1 (Switzerland,2013), pp.55-73.
2012
A. Garai, T. K. Roy, Intuitiona
Payel Ghosh, T. K. Roy. Goal Geometric Programming Problem with product method, The 6th International conference MSAST 2012, December 21-23,2012, Kolkata, India.pp: 95-107.
A.K.Shaw and T.K.Roy,Some arithmetic operations on Triangular Intuitionistic Fuzzy Number and its application on reliability evaluation,International Journal of Fuzzy Mathematics and System,Vol.2,No. 4(2012),pp.363-382.
D. K. Jana, K. Maity, B. Das and T.K. Roy (2012) . A fuzzy simulation via contractive mapping genetic algorithm approach to an imprecise production inventory model under volume Flexibility, Journal of Simulation (2012) 0, 1–11.
Sanhita Banerjee, T. K. Roy. 2012. Arithmetic Operations on Generalized Trapezoidal Fuzzy Number and its Applications, Turkish Journal of Fuzzy Systems (eISSN: 1309–1190) Vol.3, No.1, pp. 16-44, 2012.
S. Pramanik, P.P. Dey, T.K. Roy. 2012. Fuzzy goal programming approach to linear fractional bilevel decentralized programming problem based on Taylor series approximation. The Journal of Fuzzy Mathematics, 20(1), 231- 238. ISSN no: 1066-8950. International Fuzzy Mathematics Institute, Los Angeles, USA.
2011
S. Pramanik, P.P. Dey, T. K. Roy. 2011. Bilevel programming in an intuitionistic fuzzy environment. Journal of Technology, December2011, XXXXII, 103-114.
Ashok Kumar Shaw and Tapan Kumar Roy, Generalized Trapezoidal Fuzzy Number with its arithmetic operations and its application in fuzzy system reliability analysis, Int. J. Pure Appl. Sci. Technol., 5(2) (2011),60-76.
S. Banerjee and T. K. Roy, “Solution of Stochastic Inventory Models with Chance Constraints by Intuitionistic Fuzzy Optimization Technique”, International Journal of Business and Information Technology, Vol. 1
S. Banerjee and T. K. Roy, “A Constrained Stochastic Inventory Model: Fuzzy Geometric Programming And Intuitionistic Fuzzy Geometric Programming Approach”, International Journal of Computational Science and Mathematics, Vol. 3, No. 2, 189-213, 2011.
2010
S Banerjee and T. K. Roy, “Solution of A Probabilistic Fixed Order Interval System: A General Fuzzy Programming Technique and Intuitionistic Fuzzy Optimization Technique”, Global Journal of Finance and Management, Vol.2, No. 2, pp. 275-294, 2010.
S. Banerjee and T. K. Roy, “Stochastic Inventory Models with Chance Constraints and Fuzzy Random Variable”, Mathematics Applied in Science and Technology, Vol. 2, No. 1, pp. 57-70, 2010.
S. Banerjee and T. K. Roy, “Solution of Single and Multi-objective Fixed Reorder Quantity System by General Fuzzy Programming Technique”, International Journal of Management Science and Engineering Management, Volo.5, No. 5, pp. 323-333, 2010.
S. Banerjee and T. K. Roy, “Application of Fuzzy Geometric and Intuitionistic Fuzzy Geometric Programming Technique in the Stochastic Inventory Model with Fuzzy Cost Components”, Advances in Fuzzy Sets and System, Vol. 6, No. 2, pp. 121-152, 2010.
S. Banerjee and T. K. Roy, “Probabilistic Inventory model with Fuzzy Cost Components and Fuzzy Random Variable”, International Journal of Computational and Applied Mathematics, Vol.5, No.4, pp. 501-514, 2010.
S. Banerjee and T. K. Roy, “Solution of a Stochastic Inventory Model with Fuzzy Cost Components and by Geometric Programming and Fuzzy Geometric Programming”, Advances in Theoretical and Applied Mathematics, Vol.5, No.1, pp. 31-52, 2010.
S. Banerjee and T. K. Roy, “Constrained and Unconstrained Stochastic inventory Model with Fuzzy Cost Components and Fuzzy Random Variable”, International Journal of Applied mathematics and Statistics, Vol. 19, No.D10, pp. 72-89, 2010.
S. Banerjee and T. K. Roy, “Solution of single and multi-objective stochastic inventory models with fuzzy cost components by intuitionistic fuzzy optimization technique”, Advances in Operations Research, Vol. 2010, 765278, 19 pages, 2010.
G.S. Mahapatra, and T.K.Roy, Generalized Piece-wise Linear Fuzzy Number with its Application in Redundancy for Optimum Reliability of Series-parallel System, The Journal of Fuzzy Mathematics, Vol. 18, No. 2, 2010
2009
G.S. Mahapatra, and T.K. Roy, Single and Multi Container Maintenance Model: A Fuzzy Geometric Programming Approach, Journal of Mathematics Research, 1(2), 2009, Page 47-60.
G.S. Mahapatra, B.S. Mahapatra and T.K. Roy, Fuzzy system reliability analysis when constant failure rate of components is fuzzy number, Advances in Fuzzy Sets and Systems, 4 (1), 2009, Page- 85-105.
G.S. Mahapatra, and T.K.Roy, Reliability Evaluation using Triangular Intuitionistic Fuzzy Numbers Arithmetic Operations, Proceedings of World Academy of Science, Engineering and Technology, 38, 2009, 587-585.
Bablu Jana and T.K, Roy, Fuzzy Linear Programming with Fuzzy Variables and its Application in Capacitated Transportation Model, The Journal of Fuzzy Mathematics, 17(4), (2009), 1001-1016
P. Jana, T. K. Roy and S. K. Mazumder, “Multi-objective possibilistic model for portfolio selection with transaction cost” Journal of computational and applied mathematics, 228, pp: 188-196, 2009.
G.S.Mahapatra and T.K.Roy, "Single and Multui Container Maintenance Model : A Fuzzy Geometric Programming Appraoch", Journal of Mathematics Research, 1(2), pp 47-56, 2009.
2008
S Banerjee and T. K. Roy (2008), "Single and Multi-objective Stochastic inventory problems in Fuzzy Environment", The Journal of Fuzzy Mathematics Vol. 16, No. 4, 2008, 875-897.
Bablu Jana and T.K, Roy, Generalized T-norms and its application in fuzzy fixed charge solid transportation model, Proceeding of International Symposium on Recent Advances in Mathematics and its Applications 2008 (ISRAMA 2008), ‘ CALCUTTA MATHEMATICAL SOCIETY’
Tapan Kumar Roy, “Multi-Objective Geometric Programming and Its Application in an Inventory Model” Fuzzy Multi Criteria Decision Making Theory and Applications with Recent Developments (Ed. ) C. Kahraman, ISBN- 978-0-387-76812-0, pp-539-566, 2008
Tapan Kumar Roy, “Fuzzy Geometric Programming with Numerical Examples”. Fuzzy Multi Criteria Decision Making Theory and Applications with Recent Developments (Ed. ) C. Kahraman, ISBN- 978-0-387-76812-0, pp-567-588, 2008.
B. Samanta and T. K. Roy, “Generalized Triangular Norms” Journal of Fuzzy Mathematics, 16(2), 2008.
Surapati Pramanik and T. K. Roy, “Multiobjective transportation model with fuzzy parameters: a priority based fuzzy goal programming approach”, Journal of Transportation Systems Engineering and Information Technology , China , ELSEVIER, Vol. 8, No5 pp: 61-67, 2008.
2007
Surapati Pramanik and T. K. Roy, “An intuitionistic fuzzy goal programming approach for a quality control problem: a case study” Tamsui Oxford Journal of Management Sciences, Taiwan Vol. 23, No.3 pp: 01-18, 2007.
S.Islam and T.K.Roy, Fuzzy multi-item economic production quantity model under space constraint: A geometric programming approach, Applied Mathematics and Computation 184 pp-326-335, 2007
Bablu Jana and T.K, Roy, Multi-objective intuitionistic fuzzy linear programming and its application in transportation model, Notes on Intuitionistic Fuzzy Sets, volume-13, No 1 pp-34-51, 2007
S. Pramanik and T.K.Roy, Fuzzy goal programming approach to multilevel programming problems, European Journal of Operation Research 176 pp-1151-1166, 2007.
Bablu Jana and T.K, Roy, A multi-objective transportation problem under intuitionistic fuzziness, Journal of Technology, vol-XXXIX, No 1, pp-17-25, 2007
P. Jana, T.K.Roy and S.K.Majumdar, Water supply Network in a Fuzzy Environment: Maximum-Entropy Approch, Tamusui Oxford Journal of Mathematical Science, Vol.23(2) , pp-95-105, 2007.
S.Pramanik and T.K.Roy, Intuitionistic fuzzy goal programming and its application in solving multi-objective transportation problem., Tamsui Oxford Journal of Management Sciences, volume 23, No 1 pp-1-16, 2007
P. Jana ,T.K.Roy and S.K.Majumdar, Multi-objective Mean- Variance Skewness model for Portfolio Optimization , AMO – Advanced Modeling and Optimization , Vol. 9(1), pp-181-193, 2007.
2006
B.Samanta and T.K.Roy, Maximum likelihood estimation: A single and multi-objective entropy optimization approach, Advanced Modeling and Optimization, vol. 8, no1, pp-29-40, 2006
G.S. Mahapatra and T.K. Roy, Fuzzy multi-objective mathematical programming on reliability optimization model, Applied Mathematics and Computation, 174, pp- 643-659,
G.S. Mahapatra and T. K. Roy, “Optimal Fuzzy Reliability for a Series System with Cost Constraints using Fuzzy Geometric Programming” Tamsui Oxford Journal of Management Sciences, Taiwan, June 2006, Vol. 22, No. 2, Page-51-61.
N.K.Mandal, T.K.Roy, and M.Maiti, Multi-item deteriorated inventory model with a constraint: A geometric programming approach, European journal of operation research vol.-173, pp199-210, 2006
S.Islam and T.K.Roy, A fuzzy EPQ model flexibility and reliability consideration and demand dependent unit production cost under a space constraint: A fuzzy geometric programming approach, applied mathematics and computation 176 pp531-544, 2006
S.Islam and T.K.Roy, A new fuzzy multi-objective programming: Entropy based geometric programming and its application of transportation problems., European Journal of Operation Research 173 pp387-404, 2006
N.K.Mandal and T.K.Roy, Multi-item imperfect production lot size model with hybrid number cost parameters, Applied Mathematics and Computation, 182 pp1219-1230, 2006
S.Pramanik and T.K.Roy, A fuzzy goal programming technique for solving multi-objective transportation problem., Tamsui Oxford Journal of Management Sciences volume 22, No 1 pp-67-89, 2006
N.K.Mandal and T.K.roy, A displayed inventory model with L_R fuzzy number, Fuzzy Optimization and Decision Making, vol5, No. 3, pp-227-243, 2006
N.K.Mandal and T.K.Roy, Multi-item fuzzy inventory problem with space constraint via geometric programming method, Yugoslav Journal of Operation Research vol.-16, No-1, pp-55-66, 2006
N.K.Mandal and T.K.Roy, Interactive fuzzy geometric programming method for multi-objective inventory model, Fuzzy logic and optimization, Narosa Publishing House, India, pp-15-29, 2006.
2005
B.Jana and T.K.Roy, “Multi-Objective Fuzzy Linear Programming and its Application in Transportation Model” Tamsui Oxford Journal of Mathematics sciences 21(2), pp: 243-268, 2005.
B. Samanta and T. K. Roy, “Multi-objective Portfolio Selection Model in environment” Proceedings on Recent Advances in Applied Mathematics, Department of Mathematics, Vidyasagar University, India, pp: 108-113, 2005.
N.K.Mandal and T.K.Roy, A Fuzzy Inventory problem with stock dependent Inventory Costs via Geometric Programming Approach, Tamsui Oxford Journal of Management Sciences, volume 21, No-1, pp-89-98, 2005
S.Islam, T Roy, Multi-objective Fuzzy Economic Production Quantity Model with space constraints; a Geometric Programming Approach, The journal of Fuzzy Mathematics. Vol.13, No. 3, 2005.
N.K.Mandal, T.K.Roy, M.Maiti, Multi-objective fuzzy inventory model with three constraints: a geometric programming approach, Fuzzy Sets and Systems 150 pp- 87-106, 2005.
S.Islam, T.K.Roy, Modified geometric programming and its application, Journal of Applied Mathematics and Computing, Vol.17, No.1-2 pp-121-144, 2005
S.Pramanik and T.K.Roy, A fuzzy goal programming approach for multi-objective capacitated transportation problem, Tamsui Oxford Journal of Management Sciences volume 21, No 1 pp75-88, 2005
B.Samanta and T.K.Roy, Multi-objective Entropy Transportation Model with Trapezoidal Fuzzy Number Penalties, Sources and Destinations., Journal of Transportation Engineering, Vol131, No.6 June 1, 2005, pp-419-458.
B.Samanta and T.K.Roy, Multi-objective Portfolio Optimization Model, Tamsui Oxford Journal of Management Sciences volume 21(1) pp55-70, 2005
K.Das, T.K.Roy and M.Maiti, An inventory model of deteriorating items with non-linear fractional objectives, Journal of Natural & Physical Sciences, Vol. 19(1)(2005) 1-14
S. Islam and T. K. Roy, Multi-objective fuzzy inventory model with variable deterioration rate, J. Tech., July 2005, Vol. XXXVIII, No. 2pp 27-38, 2005
S. Pramanik and T.K.Roy, A goal programming procedure for solving unbalanced transportation problem having multiple fuzzy Goals, Tamsui Oxford Journal of Management Sciences volume 21, No 1 pp39-54, 2005
S, Pramanik and T.K, Roy, An Intuitionistic Fuzzy goal programming approach to vector optimization problem, Notes on Intuitionistic Fuzzy Sets, volume 11, No 1 pp-1-14, 2005
B. Samanta and T.K.Roy, Multi- objective Urban and Regional Planning Model in Fuzzy, Proc. Nat. Sem. On Teaching and Research development in Mathematics and Mathematical science in India since Independence, university of Kalyani, pp-75-95, 2005
B. Samanta and T.K.Roy – Extended T-norm And It’s application in portfolio Selection model, Journal of Fuzzy Mathematics, Vol.-13, No.-4. Pp-995 -1010, 2005.
2004
K. Das, T.K.Roy and M.Maiti, Multi-item stochastic and fuzzy-stochastic inventory models under two restrictions, Computers Operations Research. 31, pp-1793-1806, 2004.
S. Islam and T.K.Roy, An Economic Production Quantity model with Flexibility and Reliability Consideration and Demand Unit Cost: A Geometric Programming Approach with negative Degree of difficulty, Tamsui Oxford Journal of Management Sciences volume 20, No 1 pp- (01-17), 2004.
K.Sas, T. K.Roy and M.Maiti, Buyer-seller fuzzy inventory model for a deteriorating item with discount. International Journal of System Science volume 35 no-8, pp-457-466, 2004.
S.Islam, S.Majumder, and T.K.Roy, Multi-objective Transportation problem with entropy objective function, Proc. Nat. Sem. On Recent Advances in Applied Mathematics, Vidyasagar University, 18-19 March, 96-101, 2004
N.K.Mandal and T.K.Roy, Geometric programming method for solving MC2 level inventory programming problem with fuzzy cost parameters, Proc. Nat. Sem. On Recent Advances in Applied Mathematics, Vidyasagar University, 18-19 March, 120-125, 2004
2003
A multi-objective cross-border transportation model with fuzzy demand and costs, Journal of Bangladesh Mathematical Society, 3(23), (2003), 61-74.
K.Das T.K.Roy and M.Maity, Multi-objective Fuzzy Inventory Model For Deteriorating items with Shortages over a finite time Horizon, Opsearch, Vol. 40, No.4, 2003.
S.Islam, S.De, and T.K.Roy, Multi-objective inventory model of deteriorating items with linear trends demand. Proc. Nat. Sem. On Recent Trends in Math’s & its App., April 28-29, 83-100, 2003.
N.K.Mandal, T.K.Roy, and M.Maiti, A multi-item inventory model with demand-dependent unit cost; a geometric programming approach , National Proceeding by department of Mathematics , Indian School of Mines, Dhanbad, India, 259-274,2003.
2002
S.Islam and T.K.Roy, An economic production quantity model with flexibility and reliability consideration and demand dependant unit cost under a constraint: A Geometric Programming Approach., Proc. of the national symposium Recent Advances of Mathematics and its application in Science and Society, Kalyani University, pp-21-22, 2002
N.K.Mandal, and T.K.Roy, A muti-item displayed inventory model with fuzzy number, Proc. of the national symposium Recent Advances of Mathematics and its application in Science and Society, Kalyani University, pp-121-149, 2002.
2001
S. Kar, T.K.Roy and M.Maiti, Multi objective inventory model of deteriorating items under imprecise and chance constraints, Modeling and Measurement & Control.2001, Vol. 22, No.1, 2.
N.K.Mahapatra, T.K.Roy, and M.Maiti, Multi-objective mult-item inventory problem, proc. Sem.In recent trends .Develop in Appl.Math, Bengal Engg. College (A deemed Univesity) March 3, 2001.pp-44-68.
2000
T.K.Roy and M.Maiti, A Multi-item Fuzzy Displayed Inventory Model under Limited Shelf-space, The Journal of Fuzzy Mathematics Vol.8, No.4, 2000
K.Das, T.K.Roy and M.Maiti, Multi-item inventory model with quantity-dependent inventory costs and demand-dependant unit cost under imprecise objective and restrictions: a geometric programming approach, Production planning and control, 2000, Vol. 11, No. 8,781-788.
1999
S.Kar, T.K.Roy and M.Maiti, A Fuzzy Multi-Deteriorating items EOQ model with price dependant demand under budgetary constraints, Advances in modeling & Analysis, 1999-vol.19, N1, 2
K.Das, T.K.Roy, and M.Maiti, Fuzzy multi-item Inventory Model Under Two Restrictions, Advances in modeling & Analysis, 1999-vol.20, N1, 2, pp-43-58
S.Kar, A.K.Bhutia, T.K.Roy and M.Maity, Inventory of multi-Deteriorating items sold from two shops /counters under a single Management wit Floor/shelf constraint. Mathematical modeling of non-linear systems, Vol-II., IIT, Kharagpur, 1999, pp-279-289.
1998
T.K.Roy and M.Maiti, Multi objective inventory model of deteriorating items with some constraints in a fuzzy environment, Computers Operations Research. Vol. 25, No.12, pp. 1085-1095, 1998
T.K.Roy and M.Maiti, A Multi-period Inventory Model with fuzzy cost and Fuzzy demand, Advances in modeling & Analysis, 1998-vol.39, N1,2
M.Mandal, T.K.Roy and M.Maity, A Fuzzy inventory model of deteriorating items with stock dependant demand under limited storage space, Opsearch, Vol. 35, No.4, 1998.
1997
T.K.Roy and M.Maiti, A Fuzzy EOQ model with demand-dependent unit cost under limited storage capacity, European Journal of Operation Research 99(1997) 425-432
T.K.Roy and M.Maiti, Application of n-th parabolic flat fuzzy number in a inventory model with multiple-price breaks system, U scientists Phyl. Sciences Vol. 9, No. 2, 200-208(1997).
1996
T.K.Roy and M.Maiti, Analysis of fuzzy EOQ Model Using Fuzzy Goal Programming, Journal of Physical Sciences, Vol.2. 1996.
1995
T.K.Roy and M.Maiti, A Fuzzy Inventory Model with Constraints, Opsearch, Vol. 32. No. 4.1995.

Courses Undertaken

Department of Mathematics, BESU, Shibpur - 7111 03, INDIA

haw,A.K. and Roy.T.K.(2013), Trapezoidal Intuitionistic Fuzzy Number with some arithmetic operations and its application on reliability evaluation, Int.J.Mathematics in Operational Research,Vol.5,No. 1 (Switzerland,2013), pp.55-73.