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A study of an EOQ model of green items with the effect of carbon emission under pentagonal intuitionistic dense fuzzy environment

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Abstract

Nowadays, many inventory practitioners give special attention to green inventory problems incorporating carbon emission issues throughout the world. In this study, a green inventory model is considered where the demand rate depends on selling price, stock and green concern level. The holding cost is considered a quadratic function of time, and preservation technology has been utilized to control carbon emissions. First of all, a profit maximization crisp model is developed. Then, due to market flexibility, the demand rate assumes uncertainty in nature, where the concept of membership value and nonmembership value exists. So, a fuzzy model is developed where the demand rate is assumed to be a pentagonal intuitionistic dense fuzzy number. A novel defuzzification technique and a solution algorithm have been presented to solve the proposed model. In the numerical illustration, a comparative study is given among crisp and other fuzzy environments. For numerical computation, LINGO 18.0 software has also been utilized. Findings reveal that the green concern is a vital factor for model optimization under uncertain system. Finally, graphical illustration and sensitivity analysis have been made to justify the proposed model.

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Authors and Affiliations

  1. Department of Mathematics, Raja N.L. Khan Women’s College (Autonomous), Phulpahari, WB, India

    Suman Maity

  2. Department of Basic Science, Narula Institute of Technology, Kolkata, WB, 700001, India

    Avishek Chakraborty

  3. Department of Mathematics, Midnapore College (Autonomous), Midnapore, WB, India

    Sujit Kumar De

  4. Department of Applied Mathematics With Oceanology and Computer Programming, Vidyasagar University, Paschim Medinipur, WB, 721102, India

    Suman Maity & Madhumangal Pal

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  1. Suman Maity
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  2. Avishek Chakraborty
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  4. Madhumangal Pal
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Correspondence to Madhumangal Pal.

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Maity, S., Chakraborty, A., De, S.K. et al. A study of an EOQ model of green items with the effect of carbon emission under pentagonal intuitionistic dense fuzzy environment. Soft Comput 27, 15033–15055 (2023). https://doi.org/10.1007/s00500-023-08636-5

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