Application of Type-2 Defuzzification Method to Solve Profit Maximization Solid Transportation Problem Considering Carbon Emission

Sharmistha Halder (Jana) ； Biswapati Jana

《International Journal of Information and Management Sciences》 34卷2期 (2023/06) Pp. 99-116

https://doi.org/10.6186/IJIMS.202306_34(2).0001

摘要

Transportation of incompatible items is a major problems for the logistic operators. Again today ceo-aware transportation is very much appreciated by the international bodies. In a transportation system, the realization of carbonemission can be incorporated as an important part of optimization. Now, the infrastructure of surface transportation is developed through the world including third world countries (like India, South-africa, Bangladesh, etc). In the present study, we incorporated the above problems and developed profit maximization of solid transportation problem with carbon emission under type-2 Fuzzy environment. So, a new concept to solve profit maximization transportation problem including sales revenue, purchase cost, transportation cost, procurement cost and carbon-emission cost has been proposed while transporting some goods from sources to destinations. In this model, two transportation schemes with carbon emission (WCE) and with out carbon-emission (WOCE) have been designed. We consider maximization of the total profit in these two models. In the model few parameters are treated as Gaussion fuzzy type-2 variable i.e. purchase cost, selling price, transportation and procurement cost. Critical Value (CV) based reduction help us to transform fuzzy type-2 to type-1 variable. To solve the problem in deterministic way we have to utilized Genetic Algorithm (GA). Finally, numerical results presented to establish the originality of the investigation.

關鍵字

Transportation problem ； Carbon emission ； Critical value ； Gaussion type-2 Fuzzy variables ； Genetic algorithm ； Reduction method

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