Wireless Sensor Network , Volume (2), No (2), Year (2010-2) , Pages (148-160)

Title : ( A Novel Approach for Finding a Shortest Path in a Mixed Fuzzy NetworkFuzzy Network )

Authors: Ali Tajdin , Iraj Mahdavi , Nezam Mahdavi-Amiri , Bahram Sadeghpour Gildeh , Reza Hassanzadeh ,

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Abstract

We present a novel approach for computing a shortest path in a mixed fuzzy network, network having various fuzzy arc lengths. First, we develop a new technique for the addition of various fuzzy numbers in a path using a -cuts. Then, we present a dynamic programming method for finding a shortest path in the network. For this, we apply a recently proposed distance function for comparison of fuzzy numbers. Four examples are worked out to illustrate the applicability of the proposed approach as compared to two other methods in the literature as well as demonstrate the novel feature offered by our algorithm to find a fuzzy shortest path in mixed fuzzy networks with various settings for the fuzzy arc lengths.

Keywords

, Fuzzy Numbers, a -Cut; Shortest Path, Dynamic Programming
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@article{paperid:1037663,
author = {Ali Tajdin and Iraj Mahdavi and Nezam Mahdavi-Amiri and Sadeghpour Gildeh, Bahram and Reza Hassanzadeh},
title = {A Novel Approach for Finding a Shortest Path in a Mixed Fuzzy NetworkFuzzy Network},
journal = {Wireless Sensor Network },
year = {2010},
volume = {2},
number = {2},
month = {February},
issn = {1945-3078},
pages = {148--160},
numpages = {12},
keywords = {Fuzzy Numbers; a -Cut; Shortest Path; Dynamic Programming},
}

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%0 Journal Article
%T A Novel Approach for Finding a Shortest Path in a Mixed Fuzzy NetworkFuzzy Network
%A Ali Tajdin
%A Iraj Mahdavi
%A Nezam Mahdavi-Amiri
%A Sadeghpour Gildeh, Bahram
%A Reza Hassanzadeh
%J Wireless Sensor Network
%@ 1945-3078
%D 2010

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