Implementation of Intuitionistic Fuzzy Approach in Maximizing Net Present Value

Authors: Gaurav Kumar, Rakesh Kumar Bajaj

Abstract:

The applicability of Net Present Value (NPV) in an investment project is becoming more and more popular in the field of engineering economics. The classical NPV methodology involves only the precise and accurate data of the investment project. In the present communication, we give a new mathematical model for NPV which uses the concept of intuitionistic fuzzy set theory. The proposed model is based on triangular intuitionistic fuzzy number, which may be known as Intuitionistic Fuzzy Net Present Value (IFNPV). The model has been applied to an example and the results are presented.

Keywords: Net Present Value, Intuitionistic Fuzzy Set, Investment Projects.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1094701

References:

[1] Van Groenendaal. W, Kleijnen. J (2002),Deterministic versus stochastic sensitivity analysis in investment problems: an environmental case study, European Journal of Operational Research, 2002, Vol. 141, 820.
[2] Biezma. M.V, San Cristobal. J.R, Investment criteria for the selection of cogeneration plants a state of the art review, Applied Thermal Engineering, 2006, 583-588.
[3] M. Mika , G. Waligora, and J. Weglarz, Simulated annealing and tabu search for multi-mode resource-constrained project scheduling with positive discounted cash flows and different payment models, European Journal of Operational Research, 2005, 639668.
[4] G.Waligora, Discretecontinuous project scheduling with discounted cash flowsA tabu search approach,Computers and Operations Research, 2008, 21412153.
[5] Rafiee, M. and Kianfar, A scenario tree approach to multi-period project selection problem using real-option valuation method,The International Journal of Advanced Manufacturing Technology, 2007, 411.
[6] Gutjahr, W.J, Katzensteiner, S. Reiter, P. Stummer, C. and Denk, Competence-driven project portfolio selection, scheduling and staff assignment,Central European Journal of Operational Research, 2008, 281-306.
[7] Kahraman, C., Ruan, D. and Tolga, E., Capital budgeting techniques using discounted fuzzy versus probabilistic cash flows, Information Sciences, 2002, 57-76.
[8] Majid Shahriari, Mapping Fuzzy Approach in Engineering Economics, International Research Journal of Finance and Economics, 2011, ISSN 1450-2887, Issue 81.
[9] Sheen, J.N. , Fuzzy evaluation of co-generation alternatives in a petrochemical industry, Computers and Mathematics with Applications,2005, 741-755.
[10] Chiu C.Y. and Park, C.S. , Fuzzy cash flow analysis using present worth criterion, The Engineering Economist, 1994, 113-138.
[11] Gutirrez, I. , Fuzzy numbers and net present value, Scandinavian Journal of Management, 1989, 149-159.
[12] C.S. Sung and S.K. Lim, A project activity scheduling problem with net present value measure, Int. J. Production Economics, Dec 1994, 177-187.
[13] A. Nagoorgani and K. Ponnalagu, A New Approach on Solving Intuitionistic Fuzzy Linear Programming Problem. Applied Mathematical Sciences, 2012, 3467 - 3474.
[14] J. Buckley, The fuzzy mathematics of finance,Fuzzy Set. Syst., 1987, 257-273.
[15] H. Dourra, and P. Siy, Investment using technical analysis and fuzzy logic,Fuzzy Set. Syst., 2002, 221-240.
[16] D. Kuchta, Fuzzy capital budgeting, Fuzzy Set. Syst., 2000, vol. 111, no. 3, 367-385.
[17] K.T. Atanassov, Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 1986, 87-96.
[18] E. Szmidt, J. Kacrzyk, Distances between intuitionistic fuzzy sets, Fuzzy Sets and Systems, 2000, 505518.
[19] A.H.Russel, Cash Flows in Networks, Management Science, 1970, 357-373.
[20] Montevechi. J. A, Pamplona. E. O, Sanches. A. L , Capital Budgeting Using Triangular Fuzzy Numbers,V Encuentro Internacional de Finanzas, Santiago, Chile, 2005, 19 a 21 de janeiro.
[21] Zadeh L., Fuzzy sets, Inform. Control, 1965, 8, 338-356.
[22] Irem UCAL ,Dorota KUCHTA , Project Scheduling to maximize Fuzzy Net Present Value,Proceedings of the World Congress on Engineering, London,2011