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Methods for Solving Fully Fuzzy Transportation Problems Based on Classical Transportation Methods

Methods for Solving Fully Fuzzy Transportation Problems Based on Classical Transportation Methods

Amit Kumar, Amarpreet Kaur
Copyright: © 2011 |Volume: 2 |Issue: 4 |Pages: 20
ISSN: 1947-9328|EISSN: 1947-9336|EISBN13: 9781613508787|DOI: 10.4018/joris.2011100104
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MLA

Kumar, Amit, and Amarpreet Kaur. "Methods for Solving Fully Fuzzy Transportation Problems Based on Classical Transportation Methods." IJORIS vol.2, no.4 2011: pp.52-71. http://doi.org/10.4018/joris.2011100104

APA

Kumar, A. & Kaur, A. (2011). Methods for Solving Fully Fuzzy Transportation Problems Based on Classical Transportation Methods. International Journal of Operations Research and Information Systems (IJORIS), 2(4), 52-71. http://doi.org/10.4018/joris.2011100104

Chicago

Kumar, Amit, and Amarpreet Kaur. "Methods for Solving Fully Fuzzy Transportation Problems Based on Classical Transportation Methods," International Journal of Operations Research and Information Systems (IJORIS) 2, no.4: 52-71. http://doi.org/10.4018/joris.2011100104

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Abstract

There are several methods, in literature, for finding the fuzzy optimal solution of fully fuzzy transportation problems (transportation problems in which all the parameters are represented by fuzzy numbers). In this paper, the shortcomings of some existing methods are pointed out and to overcome these shortcomings, two new methods (based on fuzzy linear programming formulation and classical transportation methods) are proposed to find the fuzzy optimal solution of unbalanced fuzzy transportation problems by representing all the parameters as trapezoidal fuzzy numbers. The advantages of the proposed methods over existing methods are also discussed. To illustrate the proposed methods a fuzzy transportation problem (FTP) is solved by using the proposed methods and the obtained results are discussed. The proposed methods are easy to understand and to apply for finding the fuzzy optimal solution of fuzzy transportation problems occurring in real life situations.

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