The transportation of big species is essential to rescue or relocate them and it requires the optimized cost of transportation. The present study brings out an optimized way to handle a special class of transportation problem called the Pythagorean fuzzy species transportation problem. To deal effectively with uncertain parameters, a new method for finding the initial fuzzy basic feasible solution (IFBFS) has been developed and applied. To test the optimality of the solutions obtained, a new approach named the Pythagorean fuzzy modified distribution method is developed. After reviewing the literature, it has been observed that till now the work done on Pythagorean fuzzy transportation problems is solely based on defuzzification techniques and so the optimal solutions obtained are in crisp form only. However, the proposed study is focused to get the optimal solution in its fuzzy form only. Getting results in the fuzzy form will lead to avoid any kind of loss of information during the defuzzification process. A comparative study with other defuzzification-based methods has been done to validate the proposed approach and it confirms the utility of the proposed methodology.

中文翻译：

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保留不确定性下模糊物种毕达哥拉斯运输问题的优化

大型物种的运输对于拯救或重新安置它们至关重要，并且需要优化运输成本。本研究提出了一种优化方法来处理一类特殊的运输问题，称为毕达哥拉斯模糊物种运输问题。为有效处理不确定参数，开发并应用了一种寻找初始模糊基本可行解（IFBFS）的新方法。为了测试所获得解决方案的最优性，开发了一种新的方法，称为毕达哥拉斯模糊修正分布方法。查阅文献后发现，迄今为止对毕达哥拉斯模糊运输问题所做的工作仅基于去模糊化技术，因此获得的最优解只是清晰的形式。然而，所提出的研究的重点是仅以模糊形式获得最佳解决方案。以模糊形式获得结果将导致在去模糊化过程中避免任何形式的信息丢失。已经与其他基于去模糊化的方法进行了比较研究，以验证所提出的方法，并证实了所提出方法的实用性。