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Note on “A new equivalent transformation for interval inequality constraints of interval linear programming”

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Abstract

This note provides a counterexample to demonstrate some flaws in a recent paper by Chen et al. It pinpoints the logic error in the proof of Theorem 5.2 and discusses some remedial works.

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References

  • Chen, M. Z., Wang, S. G., Wang, P. P., & Ye, X. X. (2016). A new equivalent transformation for interval inequality constraints of interval linear programming. Fuzzy Optimization and Decision Making, 15, 155–175.

    Article  MathSciNet  MATH  Google Scholar 

  • Liu, B. (2009). Theory and practice of uncertain programming. Berlin: Springer.

    Book  MATH  Google Scholar 

  • Moore, R. E., Kearfott, R. B., & Cloud, M. J. (2009). Introduction to interval analysis. Philadelpha: SIAM.

    Book  MATH  Google Scholar 

  • Tong, S. C. (1994). Interval number and fuzzy number linear programmings. Fuzzy Sets and Systems, 66, 301–306.

    Article  MathSciNet  Google Scholar 

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Acknowledgements

The authors would like to thank the anonymous referees and the Editor-in-Chief for their valuable comments. This work was funded by the National Natural Science Foundation of China (Grant Nos. 61673352, 11771398).

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Authors and Affiliations

  1. School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, 316000, China

    Dechao Li, Jiaheng Shi & Hongying Huang

  2. Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhoushan, 316022, China

    Dechao Li, Jiaheng Shi & Hongying Huang

Authors
  1. Dechao Li
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  2. Jiaheng Shi
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  3. Hongying Huang
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Correspondence to Dechao Li.

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Li, D., Shi, J. & Huang, H. Note on “A new equivalent transformation for interval inequality constraints of interval linear programming”. Fuzzy Optim Decis Making 18, 259–262 (2019). https://doi.org/10.1007/s10700-018-9292-5

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  • DOI: https://doi.org/10.1007/s10700-018-9292-5

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