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Fuzzy Multi Objective Assignment Linear Programming Problem 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 63 - Number 5
Year of Publication: 2013
Authors: Y. L. P.thorani, N. Ravi Shankar
10.5120/10466-5185

Y. L. P.thorani, N. Ravi Shankar . Fuzzy Multi Objective Assignment Linear Programming Problem based on L-R fuzzy Numbers. International Journal of Computer Applications. 63, 5 ( February 2013), 38-49. DOI=10.5120/10466-5185

@article{ 10.5120/10466-5185,
author = { Y. L. P.thorani, N. Ravi Shankar },
title = { Fuzzy Multi Objective Assignment Linear Programming Problem based on L-R fuzzy Numbers },
journal = { International Journal of Computer Applications },
issue_date = { February 2013 },
volume = { 63 },
number = { 5 },
month = { February },
year = { 2013 },
issn = { 0975-8887 },
pages = { 38-49 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume63/number5/10466-5185/ },
doi = { 10.5120/10466-5185 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:13:23.959999+05:30
%A Y. L. P.thorani
%A N. Ravi Shankar
%T Fuzzy Multi Objective Assignment Linear Programming Problem based on L-R fuzzy Numbers
%J International Journal of Computer Applications
%@ 0975-8887
%V 63
%N 5
%P 38-49
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Transportation and assignment models play significant role in logistics and supply chain management for reducing cost and time, for better service. In this paper, a fuzzy multi objective assignment problem using linear programming model is developed. The reference functions of L-R fuzzy numbers of fuzzy multi objective assignment problem are considered being linear and non-linear functions. This paper develops a procedure to derive the fuzzy objective value of the fuzzy multi objective assignment problem, in that the fuzzy cost coefficients, the fuzzy time and fuzzy quality are L-R fuzzy numbers. The method is illustrated with an example by various cases.

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Index Terms

Computer Science
Information Sciences

Keywords

Multi objective assignment Yager's ranking index L-R fuzzy numbers linear programming.

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