Open Access Open Access  Restricted Access Subscription or Fee Access

Applications of Fuzzy Set in Mathematical Programming

Richa Mehrotra


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.



Fuzzy sets, Fuzzy numbers, Mathematical programming, Applications of fuzzy numbers, Applications of mathematical programming.

Full Text:



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.


  • There are currently no refbacks.