Abstract
Objectives: To find the best optimal solution of transportation problem in fuzzy environment Method: We proposed a new method to find the optimal solution. Findings: This study introduces a Median method. By applying the same we transform the fuzzy transportation problem to an exquisite valued one and subsequently into a new proposed process to uncover the fuzzy realistic solution. Also, we find a minimum transportation cost. Novelty: The numerical illustration demonstrates that the new projected method for managing the transportation problems on fuzzy algorithms. AMS Mathematics Subject Classification (2010): 90C08, 90C90 Keywords Median, Median of Trapezoidal Fuzzy Numbers, Median of Triangular Fuzzy Numbers, Trapezoidal Fuzzy Numbers, Transportation Problem, and Fuzzy Transportation Problem
Highlights
The transportation problem is found globally in solving certain real-world problems
A fuzzy transportation problem is a progressive method in that we can get the expenditure of the transportation, Demand a d supply facts are fuzzy quantities
A resolution that we affirm to fuzzy transportation problem which involves transportation cost, customer needs and demands and existence of products using trapezoidal Fuzzy figures
Summary
The transportation problem is found globally in solving certain real-world problems. This manuscript might be one of the novel methodologies that bring down the optimal solution value. A fuzzy transportation problem is a progressive method in that we can get the expenditure of the transportation, Demand a d supply facts are fuzzy quantities. The first introduced fuzzy set concept by Zadeh [1]. Zimmerman [2] devised fuzzy linear programming. Srinivasan et al, [3,4,5] recommended a novel algorithm to crack fuzzy transportation problems. Ghosh et al, [6] introduced a genetic algorithm to solve fully Intuitionistic fuzzy fixed-charge solid transportation problems.
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