Constrained Fuzzy Arithmetic Approach to Solve the Fully Fuzzy Transshipment Problem
DOI:
https://doi.org/10.64137/31078699/IJETET-V2I2P101Keywords:
Fully Fuzzy Transshipment Problem, Constrained Fuzzy Arithmetic, Fuzzy Optimization, Fuzzy Transportation Model, Fuzzy Linear Programming, Trapezoidal Fuzzy Numbers, Triangular Fuzzy Numbers, Operations Research, Supply Chain Optimization, Network Flow Problem, Uncertainty Modeling, Fuzzy Decision Making, Optimization Techniques, Computational Intelligence, Soft ComputingAbstract
Transportation is the distribution of goods and resources from one place to another. Most of the solving techniques for solving fully fuzzy mathematical programs are based on the standard fuzzy arithmetic operations. The constrained fuzzy arithmetic concept generates efficient solutions for many real-life applications. The transhipment problem is an extension of the transportation problem, shipping from a source to another source, shipping from a destination to another destination and shipping from a destination to any source may be allowed. This paper proposes a fuzzy constrained arithmetic approach to minimize the cost of fuzzy transportation. This paper presents an efficient algorithm for solving the transhipment problem using a fuzzy constrained arithmetic approach. At first, convert the transportation problem into an equivalent transhipment problem and then solve it by using the constrained fuzzy arithmetic algorithm. This novel method gives the minimum cost for the transhipment problem. In this paper, the solution procedure for the fully fuzzy transhipment problem using the CFA approach is explained with the help of a numerical example as another application of this algorithm.
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