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Multi-objective Assignment Problem with Fuzzy Costs for the Case of Military Affairs

by Pranab Biswas, Surapati Pramanik
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 30 - Number 10
Year of Publication: 2011
Authors: Pranab Biswas, Surapati Pramanik
10.5120/3678-5179

Pranab Biswas, Surapati Pramanik . Multi-objective Assignment Problem with Fuzzy Costs for the Case of Military Affairs. International Journal of Computer Applications. 30, 10 ( September 2011), 7-12. DOI=10.5120/3678-5179

@article{ 10.5120/3678-5179,
author = { Pranab Biswas, Surapati Pramanik },
title = { Multi-objective Assignment Problem with Fuzzy Costs for the Case of Military Affairs },
journal = { International Journal of Computer Applications },
issue_date = { September 2011 },
volume = { 30 },
number = { 10 },
month = { September },
year = { 2011 },
issn = { 0975-8887 },
pages = { 7-12 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume30/number10/3678-5179/ },
doi = { 10.5120/3678-5179 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:16:42.333677+05:30
%A Pranab Biswas
%A Surapati Pramanik
%T Multi-objective Assignment Problem with Fuzzy Costs for the Case of Military Affairs
%J International Journal of Computer Applications
%@ 0975-8887
%V 30
%N 10
%P 7-12
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents multi-objective assignment problem with fuzzy costs, where all the objectives are to be simultaneously minimized. Here each fuzzy cost is assumed as trapezoidal fuzzy number. To form a single objective problem of a multi- objective fuzzy assignment problem, weights of the objectives have been taken according to their priorities. Yager’s ranking method has been used to transform a newly formed single objective fuzzy assignment problem into a crisp assignment problem in the linear programming problem form. Then, the single objective linear programming can be solved by any conventional method. A numerical example is provided to demonstrate the potentiality of the proposed approach.

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Index Terms

Computer Science
Information Sciences

Keywords

Multi-objective assignment problem Trapezoidal fuzzy number Yager’s ranking method Fuzzy set Fuzzy number

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