CFP last date
20 December 2024
Call for Paper
January Edition
IJCA solicits high quality original research papers for the upcoming January edition of the journal. The last date of research paper submission is 20 December 2024

Submit your paper
Know more
The week's pick
Responsive image
Improved Shuffled Frog Leaping Algorithm with Self-Adaptive Shuffling for Fuzzy Logic PD+G Controller Optimization in Robotic Manipulators

Duc Hoang Nguyen
Random Articles
Reseach Article

Application of Fuzzy Ranking Method to Determine the Replacement Time for Fuzzy Replacement Problem

by Pranab Biswas, Surapati Pramanik
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 25 - Number 11
Year of Publication: 2011
Authors: Pranab Biswas, Surapati Pramanik
10.5120/3154-4359

Pranab Biswas, Surapati Pramanik . Application of Fuzzy Ranking Method to Determine the Replacement Time for Fuzzy Replacement Problem. International Journal of Computer Applications. 25, 11 ( July 2011), 41-47. DOI=10.5120/3154-4359

@article{ 10.5120/3154-4359,
author = { Pranab Biswas, Surapati Pramanik },
title = { Application of Fuzzy Ranking Method to Determine the Replacement Time for Fuzzy Replacement Problem },
journal = { International Journal of Computer Applications },
issue_date = { July 2011 },
volume = { 25 },
number = { 11 },
month = { July },
year = { 2011 },
issn = { 0975-8887 },
pages = { 41-47 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume25/number11/3154-4359/ },
doi = { 10.5120/3154-4359 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:11:34.275302+05:30
%A Pranab Biswas
%A Surapati Pramanik
%T Application of Fuzzy Ranking Method to Determine the Replacement Time for Fuzzy Replacement Problem
%J International Journal of Computer Applications
%@ 0975-8887
%V 25
%N 11
%P 41-47
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In every field of our real life situations, we deal with a replacement problem, when some items such as machines, medical equipment, military tank, electric bulb etc. or workers need to replace due to their decreased efficiency, failure or break down. To get a more realistic view of a replacement problem, here, we consider that the capital cost ( ), scrap value or resale value ( ), maintenance cost or running cost ( ) are all of fuzzy numbers. These fuzzy numbers are considered as a trapezoidal fuzzy numbers or triangular fuzzy numbers. Yager’s Ranking method (1981) has been used to determine the best alternative of fuzzy numbers. It has been also used to transform a replacement model with fuzzy cost to a replacement model with crisp cost. Then we solved it by any conventional method. Two numerical examples have been solved to show the effectiveness of the proposed method.

References
  1. Bellman, R.E., 1955. Equipment replacement policy. SIAM Journal Applied Mathematics 3,133-136.
  2. Bellman, R.E., and Dreyfus, S.E. 1962. Applied Dynamic Programming. Princeton University Press, Princeton, NJ.
  3. Wagner, H.M., 1975. Principles of Operations Research. Prentice-Hall.
  4. Oak ford, R.V., Lohmann, J.R., and Salazar, A.1984. A dynamic replacement economy decision model. IIE Transactions 16, 65-72.
  5. Alchian, A.A.1952. Economic replacement policy. Technical Report Publication R-224. The RAND Corporation, Santa Monica, CA.
  6. Dreyfus, S.E., and Law, A.M. 1977. The Art and Theory of Dynamic Programming. Academic Press, New York.
  7. Lohmann, J.R. 1986. A stochastic replacement economic decision model. IEEE Transactions 18, 182-194.
  8. Dong .W, and Shah, H.C. 1987. Vertex method for computing functions of fuzzy variables. Fuzzy Sets and Systems 14, 65-78.
  9. Chiu C.Y., and Park, C.S. 1994. Fuzzy cash flow analysis using present worth criterion. The Engineering Economist 39(2), 113-138.
  10. Hearnes, W.E. 1995. Modeling with possibilistic uncertainty in the single asset replacement problem. In Proceedings of the International Joint Conference on Information Science, Fourth Annual Conference on Fuzzy Theory & Technology, pages 552-555. Wrightsville Beach, NC. (September 28 - October 1. 1995), 552-555.
  11. Yager, R.R., 1981. A procedure for ordering fuzzy subsets of the unit interval. Information Sciences 24, 143-161.
  12. Zadeh, L.A. 1975.The concept of a linguistic variable and its application to approximate reasoning i, ii, iii. Information Sciences, 8-9:8:199-251; 8:301-357; 9:43-80.
  13. Dubois, D., and Prade, H.1978. Operations on fuzzy numbers. International Journal of Systems Science 9, 612-626.
  14. Zimmerman, H.J. 1991. Fuzzy Set Theory and Its Applications. Kluwer Academic Press, Boston, MA, second edition.
  15. Dubois, D., and Prade, H. 1987. Fuzzy numbers: An overview. In J.C. Bezdek, editor, Analysis of Fuzzy Information 1, 3-39. CRC Press, Boca Raton, FL.
  16. Kaufmann, A., and Gupta, M. M.1988. Fuzzy Mathematical Models in Engineering and Management Science. Elsevier Science Publishers, B.V.
  17. Klir, G.J., and Yuan, B.1995. Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice Hall PTR, Upper River Saddle, NJ.
  18. Zadeh, L.A., 1965. Fuzzy sets, Information and control 8 338-353.
Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy set Trapezoidal fuzzy number Triangular fuzzy number Fuzzy Replacement Problem Fuzzy ranking

Powered by PhDFocusTM