ISSN: 2455-7749

**
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

Received on February 03, 2020

;
Accepted on April 02, 2020

**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.

**Conflict of Interest**

Both authors have contributed equally to this work. The authors declare that there is no conflict of interest for this publication.

**Acknowledgements**

The authors extend their appreciation to the anonymous reviewers for their valuable suggestions.

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