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<p>In this article, a game problem involving the traditional backlogged Economic Production Quantity (EPQ) model with each player's lock fuzzy strategic behaviour is discussed. Due to the model parameters' flexibility, fuzzifying the model we develop a fuzzy game problem which can be split into the problems of four incomplete games according to the nature of strategy/key vectors like (in)dependent, partially dependent and the case of neither dependent nor independent (skew strategy) over the cost objective function. A new methodology has been developed for defuzzification of the proposed fuzzy model. Numerical illustrations along with comparative analysis have been done via case study using the LINGO software where the keys of both the players (Consumer and Producer) are one of the vital decision variables. Our findings show that assuming indifferent attitudes from both players reduces the inventory system cost. The novelty of the proposed approach has been justified by the sensitivity analysis, graphical demonstrations and conclusion with managerial insights.</p>

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A study of a backlogging EPQ model for behavioral attitudes in game strategy using linear keys of triangular fuzzy lock set

  • 期刊论文

  • 发表日期：

    2025年8月20日

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  • Sujit Kumar De,
  • Biswajit Roy

摘要

In this article, a game problem involving the traditional backlogged Economic Production Quantity (EPQ) model with each player's lock fuzzy strategic behaviour is discussed. Due to the model parameters' flexibility, fuzzifying the model we develop a fuzzy game problem which can be split into the problems of four incomplete games according to the nature of strategy/key vectors like (in)dependent, partially dependent and the case of neither dependent nor independent (skew strategy) over the cost objective function. A new methodology has been developed for defuzzification of the proposed fuzzy model. Numerical illustrations along with comparative analysis have been done via case study using the LINGO software where the keys of both the players (Consumer and Producer) are one of the vital decision variables. Our findings show that assuming indifferent attitudes from both players reduces the inventory system cost. The novelty of the proposed approach has been justified by the sensitivity analysis, graphical demonstrations and conclusion with managerial insights.