Applications of Fuzzy Set in Mathematical Programming
Keywords:
Fuzzy sets, Fuzzy numbers, Mathematical programming, Applications of fuzzy numbers, Applications of mathematical programming.Abstract
The Information in today’s world are uncertain and are under circumstances of increased uncertainty so decisions are difficult to be made. There are different techniques to represent these uncertainties. One of the ways of representing it is with the help of Fuzzy Set Theory & Fuzzy Numbers. One of the very fascinating ideas of using fuzzy set in Mathematical programming and linear programming problems has benefited largely in decision-making, in today’s era. This paper presents some general definitions and concepts of fuzzy sets with a few general applications. We have also discussed its application in Mathematical programming in a little detail to focus on the fact that introduction of fuzzy in linear programming has helped largely in decision-making.
References
L.A. Zadeh, Information and Control, 8, 338-353, 1965.
Zimmermann, H.J., 2010. Fuzzy set theory. Wiley Interdisciplinary Reviews: Computational Statistics, 2(3), pp.317-332.
Robert Fuller, An Introduction to Fuzzy Linear Programs, [email protected], October 2, 2010.
Shams, H., Mogouee, M.D., Jamali, F. and Haji, A., 2012. A survey on fuzzy linear programming. American Journal of Scientific Research, 75(1), pp.117-133.
H.J.Zimmermann, Methods and Application of Fuzzy Mathematical Programming, 2012, RWTH Aachen Templergraben 55, W-5100 Aachen (Germany).
Gani, A.N. and Mohamed, V.N., 2013. Solution of a fuzzy assignment problem by using a new ranking method. Intern. J. Fuzzy Mathematical Archive, 2, pp.8-16.
Kumar, A., Anand, A., Garg, P.K. and Agarwal, M., 2015. Optimal release time decision from fuzzy mathematical programming perspective. arXiv preprint arXiv:1509.08086.
Aggarwal, A., Mehra, A., Chandra, S. and Khan, I., 2017. Solving I-fuzzy number linear programming problems via Tanaka and Asai approach. Notes Intuit Fuzzy Sets, 23, pp.85-101.
Gong, Z., Zhao, W. and Liu, K., 2018. A straightforward approach for solving fully fuzzy linear programming problem with LR-type fuzzy numbers. Journal of the Operations Research Society of Japan, 61(2), pp.172-185.
Inearat, L. and Qatanani, N., 2018. Numerical methods for solving fuzzy linear systems. Mathematics, 6(2), p.19.
Mahmoudi, F. and Nasseri, S.H., 2019. A new approach to solve fully fuzzy linear programming problem. Journal of applied research on industrial engineering, 6(2), pp.139-149.
Downloads
Published
Issue
Section
License
Declaration and Copyright Transfer Form
(to be completed by authors)
I/ We, the undersigned author(s) of the submitted manuscript, hereby declare, that the above manuscript which is submitted for publication in the STM Journals(s), is not published already in part or whole (except in the form of abstract) in any journal or magazine for private or public circulation, and, is not under consideration of publication elsewhere.
- I/We will not withdraw the manuscript after 1 week of submission as I have read the Author Guidelines and will adhere to the guidelines.
- I/We Author(s ) have niether given nor will give this manuscript elsewhere for publishing after submitting in STM Journal(s).
- I/ We have read the original version of the manuscript and am/ are responsible for the thought contents embodied in it. The work dealt in the manuscript is my/ our own, and my/ our individual contribution to this work is significant enough to qualify for authorship.
- I/We also agree to the authorship of the article in the following order:
Author’s name
1. ________________
2. ________________
3. ________________
4. ________________
| We Author(s) tick this box and would request you to consider it as our signature as we agree to the terms of this Copyright Notice, which will apply to this submission if and when it is published by this journal. |
