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An interactive intuitionistic fuzzy method for multilevel linear programming problems

  • Mathematics
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Wuhan University Journal of Natural Sciences

Abstract

In this paper, we propose an interactive method for solving the multilevel linear programming problems based on the intuitionistic fuzzy set theory. Firstly, the membership function and the non-membership function are introduced to describe the uncertainty of the decision makers. Secondly, a satisfactory solution is derived by updating the minimum satisfactory degrees with considerations of the overall satisfactory balance among all levels. In addition, the steps of the proposed method are given in this paper. Finally, numerical examples illustrate the feasibility of this method.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, Hubei, China

    Chan Huang & Zhongping Wan

  2. Economics and Management School, Wuhan University, Wuhan, 430072, Hubei, China

    Debin Fang

Authors
  1. Chan Huang
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  2. Debin Fang
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  3. Zhongping Wan
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Corresponding author

Correspondence to Chan Huang.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China (71471140, 71171150, 71103135)

Biography: HUANG Chan, female, Master candidate, research direction: theory and algorithms of optimization.

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Huang, C., Fang, D. & Wan, Z. An interactive intuitionistic fuzzy method for multilevel linear programming problems. Wuhan Univ. J. Nat. Sci. 20, 113–118 (2015). https://doi.org/10.1007/s11859-015-1068-y

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  • DOI: https://doi.org/10.1007/s11859-015-1068-y

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