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Neutrosophic Assignment Problem via BnB Algorithm

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Book cover Advances in Algebra and Analysis

Part of the book series: Trends in Mathematics ((TM))

Abstract

This paper attempts to commence branch and bound technique to unravel the triangular fuzzy neutrosophic assignment problem (TFNAP). So far there are many researches based on fuzzy and intuitionistic fuzzy assignment problems; this is the first paper to deal with TFNAP which have been introduced as a simplification of crisp sets and intuitionistic fuzzy sets to indicate vague, imperfect, unsure, and incoherent notification about the existent world problem. Here a real-life agricultural problem where the farmer’s objective is to locate the optimal assignment of paddocks to crops in such comportment that the total fertilizer cost becomes least is worked out to illustrate the efficiency of the branch and bound (BnB) algorithm in neutroshopic approach.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Mother Teresa Women’s Universiy, Kodaikannal, India

    S. Krishna Prabha

  2. Department of Mathematics, PSNA College of Engineering and Technology, Dindigul, India

    S. Krishna Prabha

  3. Department of Mathematics, Mother Teresa Women’s Universiy, Kodaikannal, India

    S. Vimala

Authors
  1. S. Krishna Prabha
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  2. S. Vimala
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Corresponding author

Correspondence to S. Krishna Prabha .

Editor information

Editors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    V. Madhu

  2. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    A. Manimaran

  3. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    D. Easwaramoorthy

  4. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    D. Kalpanapriya

  5. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    M. Mubashir Unnissa

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Prabha, S.K., Vimala, S. (2018). Neutrosophic Assignment Problem via BnB Algorithm. In: Madhu, V., Manimaran, A., Easwaramoorthy, D., Kalpanapriya, D., Mubashir Unnissa, M. (eds) Advances in Algebra and Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01120-8_37

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