Solving Fuzzy Sequencing Problem Using Triangular Fuzzy Numbers

Authors

  • Kanchana. M  PG Scholar, Mathematics, Dr. SNS Rajalakshmi College of Arts and Science, Coimbatore, Tamil Nadu, India
  • Sangeetha. K  Assistant Professor, Dr. SNS Rajalakshmi College of Arts and Science, Coimbatore, Tamil Nadu, India
  • Rekha. S  Assistant Professor, Dr. SNS Rajalakshmi College of Arts and Science, Coimbatore, Tamil Nadu, India

DOI:

https://doi.org/10.32628/IJSRSET196533

Keywords:

Triangular fuzzy numbers, Membership function, Fuzzy Ranking, Fuzzy Sequencing.

Abstract

In this paper, we proposed to solve the total time for the Fuzzy Sequencing Problem using Triangular Fuzzy Numbers. Here machines are represented as Fuzzy Numbers. In this Paper a Ranking function for Solving Fuzzy Sequencing Problem are represented where all the machines are in the form of Triangular Fuzzy numbers. Numerical examples show that the Fuzzy Ranking Method offers an effective tool for handling the Fuzzy Sequencing Problem

References

  1. Adamopoulos G.I. and Pappis C.P., "A fuzzy-linguistic approach to a multicriteria sequencing problem", European Journal of Operational Research, 92, (1996) 628-636.
  2. Chen D., Pan Y. and Xue J., "A fuzzy production system for multi objective scheduling to an one-machine-n-parts problem", The 23rd IEEE Conference on Decision and Control, (23), (1984) 1101-1102.
  3. Chen S.H.,Hsieh C.H., "Graded mean integration representation of generalized Fuzzy number", Journal of Chinese Fuzzy systems, 5(2), (1999) 1-7.
  4. Han S., Ishii H. and Fujii S., "One machine scheduling problem with fuzzy due dates", European Journal of Operational Research, 79, (1994) 1-12.
  5. Ishii H. and Tada M., "Single machine scheduling problem with fuzzy precedence relation", European Journal of Operational Research, 87, (1995)284-288.
  6. Hong T. and Chuang T. , "New triangular fuzzy Johnson algorithm", Computers and Industrial Engineering, 36 (1), (1999) 179-200.
  7. Johnson S. M., "Optimal two- and three-stage production schedules with setup times included", Naval Research Logistics Quarterly,1, (1954) 61-68.
  8. Kaufmann, A., and Gupta, M. M., "Introduction to Fuzzy Arithmetic", Van Nostrand Reinhold, New York, (1985).

International Journal of Scientific Research in Science, Engineering and Technology

Downloads

Published

2019-10-30

Issue

Volume 6, Issue 5, September-October-2019

Section

Research Articles

License

Copyright (c) IJSRSET

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Kanchana. M, Sangeetha. K, Rekha. S "Solving Fuzzy Sequencing Problem Using Triangular Fuzzy Numbers" International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 6, Issue 5, pp.186-190, September-October-2019. Available at doi : https://doi.org/10.32628/IJSRSET196533