Optimal solution of full fuzzy transportation problems using total integral ranking

Sam'an, Muhammad; Farikhin,; Hariyanto, Susilo; Surarso, Bayu

doi:10.1088/1742-6596/983/1/012075

Cited by 8 publications

(4 citation statements)

References 7 publications

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“…TrigAC-PSO, was tested on a set of different dimensional problems, both triangular and trapezoidal fuzzy sets as classical and generalized fuzzy numbers. Table 2, presents the 28 test instances that are examined in our research [16,18,26,[30][31][32][33][34][35][36][37][38][39][40]. In Τable 3 and Figure 1, provided bellow, the performance of both exact methods and Trig-PSO approach across 20 Monte Carlo runs is showcased.…”

Section: Case Studies and Experimental Resultsmentioning

confidence: 99%

Solving Fuzzy Transportation Problem: Exploring a Novel Particle Swarm Optimization Approach

Aroniadi,

Beligiannis

2024

Preprint

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The Fuzzy Transportation Problem (FTP) represents a significant extension of the Classical Transportation Problem (TP) by introducing uncertainly and imprecision into the parameters involved. Various algorithms have been proposed to solve the FTP, including fuzzy linear programming, metaheuristic algorithms and fuzzy mathematical programming techniques combined with Artificial Neural Networks. This paper presents the application of Trigonometric Acceleration Coefficients-PSO (TrigAc-PSO), a variation of the Classical Particle Swarm optimization algorithm, which is an innovative algorithm originally developed for solving the TP. TrigAC-PSO, has demonstrated remarkable success in optimizing various problem domains in crisp environments.

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Section: Case Studies and Experimental Resultsmentioning

confidence: 99%

Solving Fuzzy Transportation Problem: Exploring a Novel Particle Swarm Optimization Approach

Aroniadi,

Beligiannis

2024

Preprint

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“…Reference [13] full fuzzy transportation problem (FFTP) is a transportation problem where transport costs, request, supply and choice factors are communicated in type of fuzzy numbers. To tackle fuzzy transportation problem, fuzzy number boundary should be switched over completely to a fresh number called defuzzification technique.…”

Section: Introductionmentioning

confidence: 99%

Optimal Solution to Transportation Problem with Heptagonal Fuzzy Numbers

Fegade

Muley

2022

EJMATH

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“…There are different ranking methods for fuzzy numbers. Some researchers [10], [11], [12], [13], [14], [15], [16], [17] discussed the solution of fuzzy transportation problems with various fuzzy numbers. Saman et al [18] introduced an optimal solution of full fuzzy transportation problems using total integral ranking function value and fuzzy numbers.…”

Section: Introductionmentioning

confidence: 99%

An Optimal Algorithm for a Fuzzy Transportation Problem

Mitlif¹,

Rasheed²,

Shihab³

2020

Journal of Southwest Jiaotong University

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This paper deals with the optimal approximate solution to a special type of optimization problem called a fuzzy transportation problem using pentagonal fuzzy numbers. The values of the cost, supply, and demand for fuzzy transportation problems are taken as pentagonal fuzzy numbers. The pentagonal fuzzy numbers are converted into crisp values using a novel suggested ranking function. By comparing this with the conventional ranking methods, we can achieve better results with the aid of the proposed new ranking method. Vogel’s Approximation Method is then applied to obtain the solution. Several experiments have been conducted in order to investigate the suggested technique.

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Optimal solution of full fuzzy transportation problems using total integral ranking

Cited by 8 publications

References 7 publications

Solving Fuzzy Transportation Problem: Exploring a Novel Particle Swarm Optimization Approach

Solving Fuzzy Transportation Problem: Exploring a Novel Particle Swarm Optimization Approach

Optimal Solution to Transportation Problem with Heptagonal Fuzzy Numbers

An Optimal Algorithm for a Fuzzy Transportation Problem

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