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Application of Fuzzy Ranking Method to Determine the Replacement Time for Fuzzy Replacement Problem

by Pranab Biswas, Surapati Pramanik
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 25 - Number 11
Year of Publication: 2011
Authors: Pranab Biswas, Surapati Pramanik
10.5120/3154-4359

Pranab Biswas, Surapati Pramanik . Application of Fuzzy Ranking Method to Determine the Replacement Time for Fuzzy Replacement Problem. International Journal of Computer Applications. 25, 11 ( July 2011), 41-47. DOI=10.5120/3154-4359

@article{ 10.5120/3154-4359,
author = { Pranab Biswas, Surapati Pramanik },
title = { Application of Fuzzy Ranking Method to Determine the Replacement Time for Fuzzy Replacement Problem },
journal = { International Journal of Computer Applications },
issue_date = { July 2011 },
volume = { 25 },
number = { 11 },
month = { July },
year = { 2011 },
issn = { 0975-8887 },
pages = { 41-47 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume25/number11/3154-4359/ },
doi = { 10.5120/3154-4359 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:11:34.275302+05:30
%A Pranab Biswas
%A Surapati Pramanik
%T Application of Fuzzy Ranking Method to Determine the Replacement Time for Fuzzy Replacement Problem
%J International Journal of Computer Applications
%@ 0975-8887
%V 25
%N 11
%P 41-47
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In every field of our real life situations, we deal with a replacement problem, when some items such as machines, medical equipment, military tank, electric bulb etc. or workers need to replace due to their decreased efficiency, failure or break down. To get a more realistic view of a replacement problem, here, we consider that the capital cost ( ), scrap value or resale value ( ), maintenance cost or running cost ( ) are all of fuzzy numbers. These fuzzy numbers are considered as a trapezoidal fuzzy numbers or triangular fuzzy numbers. Yager’s Ranking method (1981) has been used to determine the best alternative of fuzzy numbers. It has been also used to transform a replacement model with fuzzy cost to a replacement model with crisp cost. Then we solved it by any conventional method. Two numerical examples have been solved to show the effectiveness of the proposed method.

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Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy set Trapezoidal fuzzy number Triangular fuzzy number Fuzzy Replacement Problem Fuzzy ranking

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