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Mehar’s method to find exact fuzzy optimal solution of unbalanced fully fuzzy multi-objective transportation problems

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Abstract

To the best of our knowledge, till now there is no method described in literature to find exact fuzzy optimal solution of balanced as well as unbalanced fully fuzzy multi-objective transportation problems. In this paper, a new method named as Mehar’s method, is proposed to find the exact fuzzy optimal solution of fully fuzzy multi-objective transportation problems (FFMOTP). The advantages of the Mehar’s method over existing methods are also discussed. To show the advantages of the proposed method over existing methods, some FFMOTP, which cannot be solved by using any of the existing methods, are solved by using the proposed method and the results obtained are discussed. To illustrate the applicability of the Mehar’s method, a real life problem is solved.

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Authors and Affiliations

  1. School of Mathematics and Computer Applications, Thapar University, Patiala, 147004, India

    Anila Gupta, Amit Kumar & Amarpreet Kaur

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  1. Anila Gupta
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  2. Amit Kumar
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  3. Amarpreet Kaur
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Correspondence to Anila Gupta.

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Gupta, A., Kumar, A. & Kaur, A. Mehar’s method to find exact fuzzy optimal solution of unbalanced fully fuzzy multi-objective transportation problems. Optim Lett 6, 1737–1751 (2012). https://doi.org/10.1007/s11590-011-0367-2

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  • DOI: https://doi.org/10.1007/s11590-011-0367-2

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