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American Journal of Business and Operations Research

Volume 1 , Issue 1 , PP: 28-35, 2020 | Cite this article as | XML | Html | PDF | Full Length Article

Triangular Neutrosophic-based EOQ model for non-Instantaneous Deteriorating Item under Shortages

Shilpi Pal 1 * , Avishek Chakraborty 2

  • 1 Department of Basic Science, Narula Institute of Technology, Agarpara, Kolkata-700109, India - (tirtha.avishek93@gmail.com)
  • 2 1Department of Basic Science, Narula Institute of Technology, Agarpara, Kolkata-700109, India and Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, India - (tirtha.avishek93@gmail.com)

    • Doi: https://doi.org/10.54216/AJBOR.010103

    Received March 15, 2019 Accepted July 22, 2019
    Abstract

    In this paper, we applied the concept of triangular Neutrosophic number from a special viewpoint. Additionally, we utilized specific varieties of linear triangular Neutrosophic numbers and de-neutrosofication idea which could be very critical for uncertainty concept. Here, an EOQ model has been developed for a linearly dependent demand of non-instantaneous items under shortages. The paper considers holding cost as triangular neutrosophic number (TNN) and optimizes the model. A comparative study is done under crisps and neutrosophic domain and the model gives better result under the later domain. This noble notion will assist us to resolve a plethora of realistic existence problems in neutrosophic area.

    Keywords :

    EOQ Model, TNN, De-neutrosophication Technique, Shortages

    References

    [1] Zadeh L.A; (1965); Fuzzy sets. Information and Control, 8(5): 338- 353. 

    [2] Yen, K. K.; Ghoshray, S.; Roig, G.; (1999); A linear regression model using triangular fuzzy

          number coefficients, fuzzy sets and system, doi: 10.1016/S0165-0114(97)00269-8.

    [3] Abbasbandy, S. and Hajjari, T.; (2009); A new approach for ranking of trapezoidal fuzzy numbers; Computers and Mathematics with Applications, 57(3), 413-419.

    [4] A.Chakraborty, S.P Mondal, A.Ahmadian, N.Senu, D.Dey, S.Alam, S.Salahshour; (2019); The Pentagonal Fuzzy Number: Its Different Representations, Properties, Ranking, Defuzzification and Application in Game Problem, Symmetry, Vol-11(2), 248; doi: 10.3390/sym11020248.

    [5] A.Chakraborty, S. Maity, S.Jain, S.P Mondal, S.Alam; (2020); “Hexagonal Fuzzy Number and its Distinctive Representation, Ranking, Defuzzification Technique and Application in Production Inventory Management Problem”, Granular Computing, Springer, DOI: 10.1007/s41066-020-00212-8.

    [6] S. Maity, A.Chakraborty, S.K De, S.P.Mondal, S.Alam; (2019); A comprehensive study of a backlogging EOQ model with nonlinear heptagonal dense fuzzy environment,Rairo Operations Research; DOI: 10.1051/ro/2018114.

    [7] Atanassov K.;(1986); Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20: 87-96.

    [8] Smarandache, F. A unifying field in logics neutrosophy: neutrosophic probability, set and logic.American Research Press, Rehoboth. 1998.

    [9] A.Chakraborty, S.P Mondal, A.Ahmadian, N.Senu, S.Alam and S.Salahshour; (2018); Different Forms of Triangular Neutrosophic Numbers, De-Neutrosophication Techniques, and their Applications, Symmetry, Vol-10, 327.

    [10] A. Chakraborty, S. P Mondal, S.Alam, A. Mahata; (2019); Different Linear and Non-linear Form of Trapezoidal Neutrosophic Numbers, De-Neutrosophication Techniques and its Application in Time-Cost Optimization Technique, Sequencing Problem; Rairo Operations Research, doi: 10.1051/ro/2019090.

    [11] A. Chakraborty, S. Broumi, P.K Singh;(2019); Some properties of Pentagonal Neutrosophic Numbers and its Applications  in  Transportation  Problem  Environment,  Neutrosophic  Sets  and  Systems, vol.28, pp.200-215.

    [12] A. Chakraborty, S. Mondal, S. Broumi; (2019); De-neutrosophication technique of pentagonal neutrosophic number and application in minimal spanning tree; Neutrosophic Sets and Systems; vol. 29, pp. 1-18, doi: 10.5281/zenodo.3514383.

    [13] A. Chakraborty ; (2020); A New Score Function of Pentagonal Neutrosophic Number and its Application in Networking Problem; International Journal of Neutrosophic Science; Vol-1(1), p.p-35-46.

    [14] A. Mahata,  S.P Mondal , S. Alam,  A. Chakraborty, A. Goswami, S. Dey; (2018); Mathematical  model  for diabetes in fuzzy environment and stability analysis- Journal of of intelligent and Fuzzy System, doi: https://doi.org/10.3233/JIFS-171571. 

    [15] A.Chakraborty; (2019); Minimal Spanning Tree in Cylindrical Single-Valued Neutrosophic Arena; Neutrosophic Graph theory and algorithm; DOI-10.4018/978-1-7998-1313-2.ch009.

    [16] A. Chakraborty, S. P Mondal, S.Alam, A. Mahata; (2020); Cylindrical Neutrosophic Single-Valued Numberand its Application in Networking problem, Multi Criterion Decision Making Problem and Graph Theory”; CAAI Transactions on Intelligence Technology; DOI:  10.1049/trit.2019.0083.

    [17] T.S.Haque, A. Chakraborty, S. P Mondal, S.Alam, A. Mahata; (2020); A new approach to solve multi criteria group decision making problems by exponential law in generalized spherical fuzzy environment; CAAI Transactions on Intelligence Technology; DOI: 10.1049/trit.2019.0078.

    [18] S. Broumi, A. Bakali, M. Talea, Prem Kumar Singh, F. Smarandache;( 2019); Energy and Spectrum Analysis of Interval-valued  Neutrosophic graph  Using  MATLAB,  Neutrosophic  Set  and  Systems,  vol.  24, pp. 46-60.  

    [19] A. Chakraborty, S. P Mondal, S. Alam ,A. Ahmadian, N. Senu, D. De and S. Salahshour; (2019); Disjunctive Representation of Triangular Bipolar Neutrosophic Numbers, De-Bipolarization Technique and Application in Multi-Criteria Decision-Making Problems, Symmetry, Vol-11(7), 932. 

    [20] M. Mullai ;(2018) ;Neutrosophic EOQ Model with Price Break. Neutrosophic Sets and Systems, vol-19,pp-24-28.

    [21] B. Mondal, C. Kar, A. Garai and T. K. Roy; (2018) ; Optimization of EOQ Model with Limited Storage Capacity by Neutrosophic Geometric Programming. Neutrosophic Sets and Systems, Vol-(22), 5-29.

    [22] P. Majumder, U. K. Bera, M. Maiti;(2015); An EPQ Model of Deteriorating Items under Partial Trade Credit Financing and Demand Declining Market in Crisp and Fuzzy Environment Procedia Computer Science 45,pp-780-789.

    [23] S. Pal,G. S. Mahapatra, G. P. Samanta; (2014) ; An inventory model of price and stock dependent demand rate with deterioration under inflation and delay in payment. Int J Syst Assur Eng Manag Vol-5(4):591–601, DOI 10.1007/s13198-013-0209-y.

     

    [24] Himanshu Rathore; (2019); An Inventory Model with Advertisement Dependent Demand and Reliability Consideration . International Journal of Applied and Computational Mathematics  vol- 5 (33): 1-8.

     

     [25] S. Pal , G.S. Mahapatra , G.P. Samanta ;(2015) ; A production inventory model for deteriorating item with ramp type demand allowing inflation and shortages under fuzziness. Economic Modelling 46: 334–345.

     

    Cite This Article As :
    Pal, Shilpi. , Chakraborty, Avishek. Triangular Neutrosophic-based EOQ model for non-Instantaneous Deteriorating Item under Shortages. American Journal of Business and Operations Research, vol. , no. , 2020, pp. 28-35. DOI: https://doi.org/10.54216/AJBOR.010103
    Pal, S. Chakraborty, A. (2020). Triangular Neutrosophic-based EOQ model for non-Instantaneous Deteriorating Item under Shortages. American Journal of Business and Operations Research, (), 28-35. DOI: https://doi.org/10.54216/AJBOR.010103
    Pal, Shilpi. Chakraborty, Avishek. Triangular Neutrosophic-based EOQ model for non-Instantaneous Deteriorating Item under Shortages. American Journal of Business and Operations Research , no. (2020): 28-35. DOI: https://doi.org/10.54216/AJBOR.010103
    Pal, S. , Chakraborty, A. (2020) . Triangular Neutrosophic-based EOQ model for non-Instantaneous Deteriorating Item under Shortages. American Journal of Business and Operations Research , () , 28-35 . DOI: https://doi.org/10.54216/AJBOR.010103
    Pal S. , Chakraborty A. [2020]. Triangular Neutrosophic-based EOQ model for non-Instantaneous Deteriorating Item under Shortages. American Journal of Business and Operations Research. (): 28-35. DOI: https://doi.org/10.54216/AJBOR.010103
    Pal, S. Chakraborty, A. "Triangular Neutrosophic-based EOQ model for non-Instantaneous Deteriorating Item under Shortages," American Journal of Business and Operations Research, vol. , no. , pp. 28-35, 2020. DOI: https://doi.org/10.54216/AJBOR.010103

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