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Fuzzy Transportation Linear Programming Models based on L-R Fuzzy Numbers

by Y. L. P.thorani, N. Ravi Shankar
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 72 - Number 14
Year of Publication: 2013
Authors: Y. L. P.thorani, N. Ravi Shankar
10.5120/12560-8595

Y. L. P.thorani, N. Ravi Shankar . Fuzzy Transportation Linear Programming Models based on L-R Fuzzy Numbers. International Journal of Computer Applications. 72, 14 ( June 2013), 4-13. DOI=10.5120/12560-8595

@article{ 10.5120/12560-8595,
author = { Y. L. P.thorani, N. Ravi Shankar },
title = { Fuzzy Transportation Linear Programming Models based on L-R Fuzzy Numbers },
journal = { International Journal of Computer Applications },
issue_date = { June 2013 },
volume = { 72 },
number = { 14 },
month = { June },
year = { 2013 },
issn = { 0975-8887 },
pages = { 4-13 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume72/number14/12560-8595/ },
doi = { 10.5120/12560-8595 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:37:53.398797+05:30
%A Y. L. P.thorani
%A N. Ravi Shankar
%T Fuzzy Transportation Linear Programming Models based on L-R Fuzzy Numbers
%J International Journal of Computer Applications
%@ 0975-8887
%V 72
%N 14
%P 4-13
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Transportation models play an important role in logistics and supply chain management for reducing cost and improving service. In this paper two new fuzzy transportation linear programming models are developed: one with equality constraints and other with inequality constraints using L-R fuzzy numbers. The membership functions of L-R fuzzy numbers of fuzzy transportation cost are consider being linear and exponential. This paper develops a procedure to derive the fuzzy objective value of the fuzzy transportation problem, in that the cost coefficients and the supply and demand are L-R fuzzy numbers. The two models are illustrated with an example. The optimal fuzzy transportation cost for the two models slightly varies when linear membership functions are equal and the optimal fuzzy transportation cost is same in case of different membership functions i. e. , either linear or exponential membership functions defined on L-R fuzzy numbers. Most of the fuzzy transportation problems reviewed in literature have the negative optimal fuzzy transportation cost but in our proposed method we obtain positive optimal fuzzy transportation cost in all most all cases.

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Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy transportation problem Yager's ranking index L-R fuzzy numbers linear programming

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