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A Novel Approach for Finding a Shortest Path in a Mixed Fuzzy Network

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DOI: 10.4236/wsn.2010.22020    5,239 Downloads   9,897 Views   Citations

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 -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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

A. Tajdin, I. Mahdavi, N. Mahdavi-Amiri, B. Sadeghpour-Gildeh and R. Hassanzadeh, "A Novel Approach for Finding a Shortest Path in a Mixed Fuzzy Network," Wireless Sensor Network, Vol. 2 No. 2, 2010, pp. 148-160. doi: 10.4236/wsn.2010.22020.

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