A simplified new approach for solving fuzzy transportation problems with generalized trapezoidal fuzzy numbers |
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| Affiliation: | 1. Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran;2. Business Systems and Analytics Department, Lindback Distinguished Chair of Information Systems and Decision Sciences, La Salle University, Philadelphia, PA 19141, USA;3. Business Information Systems Department, Faculty of Business Administration and Economics, University of Paderborn, D-33098 Paderborn, Germany;1. College of Mathematics and Sciences, Shanghai Normal University, Shanghai 200234, China;2. Institute of Uncertain Systems, Huanggang Normal University, Hubei 438099, China;3. School of Statistics and Mathematics, Zhongnan University of Economics and Law, Hubei 430073, China;1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Paschim-Medinipur, West Bengal 721102, India;2. Department of Mathematics, Mahishadal Raj College, Mahishadal, Purba-Medinipur, West Bengal 721628, India |
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| Abstract: | In a recent paper, Kaur and Kumar (2012) proposed a new method based on ranking function for solving fuzzy transportation problem (FTP) by assuming that the values of transportation costs are represented by generalized trapezoidal fuzzy numbers. Here it is shown that once the ranking function is chosen, the FTP is converted into crisp one, which is easily solved by the standard transportation algorithms. The main contribution here is the reduction of the computational complexity of the existing method. By solving two application examples, it is shown that it is possible to find a same optimal solution without solving any FTP. Since the proposed approach is based on classical approach it is very easy to understand and to apply on real life transportation problems for the decision makers. |
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| Keywords: | Fuzzy transportation problem Ranking function Generalized trapezoidal fuzzy number |
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