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Mehar Method-III to Find All More-for-Less Solutions of Symmetric Intuitionistic Fuzzy Transportation Problems with Mixed Constraints

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More-for-Less Solutions in Fuzzy Transportation Problems

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 426))

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Abstract

In this chapter, firstly, the arithmetic operations of triangular fuzzy numbers as well as the method for comparing triangular fuzzy numbers, proposed by Vidhya et al. (Soft Comput 25:11989–11996, 2021), are extended for triangular intuitionistic fuzzy numbers. Then, using the extended arithmetic operations and the extended comparing method, a new method (named as Mehar method-III) is proposed to find all more-for-less solutions of symmetric triangular intuitionistic fuzzy transportation problems with mixed constraints (transportation problems with mixed constraints in which each parameter and each variable is represented by a symmetric triangular intuitionistic fuzzy number). Finally, a symmetric triangular intuitionistic fuzzy transportation problem with mixed constraints is solved to illustrate the proposed Mehar method-III.

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References

  1. A. Mishra and A. Kumar, Aggregation operators for various extensions of fuzzy set and its applications in transportation problems, Studies in Fuzziness and Soft Computing, Springer Nature, Singapore, (2021).

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  2. H. A. Taha, Operations research: An introduction, Pearson Prentice Hall Upper Saddle River, N.J. (2013).

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  3. V. Vidhya, P. Uma Maheswari and K. Ganesan, An alternate method for finding more for less solution to fuzzy transportation problem with mixed constraints, Soft Computing 25 (2021) 11989–11996.

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Authors and Affiliations

  1. School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, Punjab, India

    Tanveen Kaur Bhatia & Amit Kumar

  2. Department of Supply Chain Management, Asper School of Business, University of Manitoba, Manitoba, MB, Canada

    Srimantoorao S. Appadoo

Authors
  1. Tanveen Kaur Bhatia
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  2. Amit Kumar
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  3. Srimantoorao S. Appadoo
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Corresponding author

Correspondence to Amit Kumar .

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© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

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Bhatia, T.K., Kumar, A., Appadoo, S.S. (2023). Mehar Method-III to Find All More-for-Less Solutions of Symmetric Intuitionistic Fuzzy Transportation Problems with Mixed Constraints. In: More-for-Less Solutions in Fuzzy Transportation Problems. Studies in Fuzziness and Soft Computing, vol 426. Springer, Cham. https://doi.org/10.1007/978-3-031-30337-1_4

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  • DOI: https://doi.org/10.1007/978-3-031-30337-1_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-30336-4

  • Online ISBN: 978-3-031-30337-1

  • eBook Packages: EngineeringEngineering (R0)

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