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Fuzzy Transportation Problem with Generalized Triangular-Trapezoidal Fuzzy Number

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Soft Computing: Theories and Applications

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 583))

Abstract

The shortcoming of an existing method for comparing the proposed new method for generalized triangular-trapezoidal fuzzy numbers (TTFN) are pointed out in this paper. Here the proposed ranking method is used for solving unbalanced fuzzy transportation problem (UFTP). A comparison is set between the optimal fuzzy and crisp solutions by using Vogel’s approximation method (VAM) and improved zero suffix method (IZSM) after balancing by existing and proposed minima row–column method (MRCM). The effectiveness of proposed method is illustrated by a numerical example and setting a comparison among optimal solutions.

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Author information

Authors and Affiliations

  1. Department of Mathematics, BU, Jhansi, U.P, India

    Rajesh Kumar Saini

  2. Department of Management Studies, Sharda University, Greater Noida, U.P, India

    Atul Sangal

  3. Department of Mathematics, IIT, Patna, Bihar, India

    Om Prakash

Authors
  1. Rajesh Kumar Saini
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  2. Atul Sangal
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  3. Om Prakash
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Corresponding author

Correspondence to Rajesh Kumar Saini .

Editor information

Editors and Affiliations

  1. Department of Applied Science and Engineering, IIT Roorkee, Saharanpur, India

    Millie Pant

  2. Department of Physics, Amity School of Applied Sciences, Amity University Rajasthan, Jaipur, Rajasthan, India

    Kanad Ray

  3. Department of Computer Science and Engineering, Amity School of Engineering and Technology, Amity University Rajasthan, Jaipur, Rajasthan, India

    Tarun K. Sharma

  4. Department of Electronics and Communication Engineering, SEEC, Manipal University Jaipur, Jaipur, Rajasthan, India

    Sanyog Rawat

  5. Surface Characterization Group, NIMS, Nano Characterization Unit, Advanced Key Technologies Division, Tsukuba, Ibaraki, Japan

    Anirban Bandyopadhyay

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Saini, R.K., Sangal, A., Prakash, O. (2018). Fuzzy Transportation Problem with Generalized Triangular-Trapezoidal Fuzzy Number. In: Pant, M., Ray, K., Sharma, T., Rawat, S., Bandyopadhyay, A. (eds) Soft Computing: Theories and Applications. Advances in Intelligent Systems and Computing, vol 583. Springer, Singapore. https://doi.org/10.1007/978-981-10-5687-1_64

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  • DOI: https://doi.org/10.1007/978-981-10-5687-1_64

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-5686-4

  • Online ISBN: 978-981-10-5687-1

  • eBook Packages: EngineeringEngineering (R0)

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