Cutting plane method in fuzzy environment

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DOI:

https://doi.org/10.26637/MJM0704/0033

Abstract

Linear programming is one of the most widely used decision making tools for solving real world problems. Real world situations are characterized imprecision rather than exactness. In this paper classical cutting plan method is extended to solve fuzzy number linear programming problem to find integer solution. The trapezoidal fuzzy numbers are defuzzificated by using linear ranking method proposed by Maleki [22]. This method is easy to apply. This method is explained with suitable numerical examples.

Keywords:

Fuzzy linear programming problem, Trapezoidal fuzzy number, Ranking method.

Mathematics Subject Classification:

Mathematics
  • K.K. Mishra Department of Mathematics, Gandhi Institute for Technological Advancement, Bhubaneswar- 752054, Odisha, India.
  • Pages: 832-836
  • Date Published: 01-10-2019
  • Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)

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Published

01-10-2019

How to Cite

K.K. Mishra. “Cutting Plane Method in Fuzzy Environment”. Malaya Journal of Matematik, vol. 7, no. 04, Oct. 2019, pp. 832-6, doi:10.26637/MJM0704/0033.