Nirbhay Mathur
Department of Mathematics, Shambhunath Institute of Engineering and Technology, Prayagraj, India.

Pankaj Kumar Srivastava
Department of Mathematics, Jaypee Institute of Information Technology, Noida, India.

DOI https://doi.org/10.33889/IJMEMS.2020.5.5.075

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Abstract

The present paper wraps an innovative approach to optimize transportation problems through generalized trapezoidal numbers in a fuzzy environment. The main contribution here is to develop an innovative method to optimize the generalized fuzzy trapezoidal transportation problem and reduce the computational intricacy of the existing methods. Then again this method confers many improved results against classical North-West Corner and Least-Cost schemes in Fuzzy environment. An additional merit of the proposed scheme is that for several fuzzy transportation problems it furnishes the best possible way out directly. It is simple to understand and apply. The solution process is exemplified through two numerical examples and comparison with some standard existing methods.

Keywords- Fuzzy transportation problems, Generalized trapezoidal fuzzy numbers, Ranking function, Fuzzy minimum of demand supply, Modified distribution.

Citation

Mathur, N., & Srivastava, P. K. (2020). An Inventive Approach to Optimize Fuzzy Transportation Problem. International Journal of Mathematical, Engineering and Management Sciences, 5(5), 985-994. https://doi.org/10.33889/IJMEMS.2020.5.5.075.