Published April 7, 2023
| Version v1
Journal article
Open
Solving Triangular Fuzzy Linear Fractional Programming Problem
Creators
- 1. Department of Mathematics, Swami Keshvanand Institute of Technology, Management & Gramothan, Jaipur, India
Description
In this paper we propose to solve linear fractional programming problem, where all the decision parameters are trapezoidal fuzzy numbers. Our approach and computational procedures may be efficient and simple to implement for calculation in a trapezoidal fuzzy environment for all fields of engineering and science where impreciseness occur. Here we are formulating the given objective function into three objective bounds with constraints which can be solved further by Simplex method. A numerical example is presented to illustrate the proposed approach.
Files
SOLVING TRIANGULAR FUZZY LINEAR FRACTIONAL.pdf
Files
(366.5 kB)
Name | Size | Download all |
---|---|---|
md5:895ee67a1d7be1de849b2e7295b9d88d
|
366.5 kB | Preview Download |
Additional details
References
- Zadeh, L. A. (1965). Zadeh, fuzzy sets. Inform Control, 8, 338-353.
- Zimmermann, H. J. (1978). Fuzzy programming and linear programming with several objective functions. Fuzzy sets and systems, 1(1), 45-55.
- Chakraborty, M., & Gupta, S. (2002). Fuzzy mathematical programming for multi objective linear fractional programming problem. Fuzzy sets and systems, 125(3), 335-342.
- Pramy, F. A., & Islam, M. A. (2017). Determining efficient solutions of multi-objective linear fractional programming problems and application. Open Journal of Optimization, 6(04), 164.
- Loganathan, T., & Ganesan, K. (2019, November). A solution approach to fully fuzzy linear fractional programming problems. In Journal of Physics: Conference Series (Vol. 1377, No. 1, p. 012040). IOP Publishing.
- Das, S. K., Edalatpanah, S. A., & Mandal, T. (2018). A proposed model for solving fuzzy linear fractional programming problem: Numerical Point of View. Journal of computational science, 25, 367-375.
- Arya, R., Singh, P., Kumari, S., & Obaidat, M. S. (2020). An approach for solving fully fuzzy multi-objective linear fractional optimization problems. Soft Computing, 24, 9105-9119.
- Stanojević, B., Dzitac, S., & Dzitac, I. (2020). Fuzzy numbers and fractional programming in making decisions. International Journal of Information Technology & Decision Making, 19(04), 1123-1147.
- Das, S. K., & Edalatpanah, S. A. (2020). New insight on solving fuzzy linear fractional programming in material aspects. Fuzzy optimization and Modelling, 1, 1-7.
- Stanojević, B., & Stanojević, M. (2022). Empirical (α, β)-acceptable optimal values to full fuzzy linear fractional programming problems. Procedia Computer Science, 199, 34-39.