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Unique Fuzzy Optimal Value of Fully Fuzzy Linear Programming Problems with Equality Constraints Having LR Flat Fuzzy Numbers

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 340))

Abstract

In this chapter, it is shown that the fuzzy optimal value, obtained by using the method, presented in Chap. 4, is not necessarily a unique fuzzy number. So, it does not conform to the uniqueness property of fuzzy optimal value.

Some of the contents of this chapter are published in Control and Cybernetics 41 (2012) 171–182 and the remaining are published in Journal of Optimization Theory and Applications 156 (2013) 529–534.

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References

  1. Kaur, J., Kumar, A.: Unique fuzzy optimal value of fully fuzzy linear programming problems. Control Cybern. 41, 171–182 (2012)

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  2. Kaur, J., Kumar, A.: A new method to find the unique fuzzy optimal value of fuzzy linear programming problems. J. Optim. Theory Appl. 156, 529–534 (2013)

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  3. Kaur, P., Kumar, A.: A new ranking approach and its application for solving fuzzy critical path problems. S. Afr. J. Ind. Eng. (accepted)

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Correspondence to Jagdeep Kaur .

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Kaur, J., Kumar, A. (2016). Unique Fuzzy Optimal Value of Fully Fuzzy Linear Programming Problems with Equality Constraints Having LR Flat Fuzzy Numbers. In: An Introduction to Fuzzy Linear Programming Problems. Studies in Fuzziness and Soft Computing, vol 340. Springer, Cham. https://doi.org/10.1007/978-3-319-31274-3_6

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  • DOI: https://doi.org/10.1007/978-3-319-31274-3_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-31273-6

  • Online ISBN: 978-3-319-31274-3

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