2012
DOI: 10.1016/j.asoc.2012.03.013
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Solving the fuzzy shortest path problem using multi-criteria decision method based on vague similarity measure

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Cited by 39 publications
(22 citation statements)
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“…Various definitions for (dis)similarity have been proposed in the literature in various data domains [3], [4], [25] without consensus. Motivated by a popular definition of similarity between fuzzy sets [25], we propose the following definition in a mathematical lattice.…”
Section: Similarity Measures On Latticesmentioning
confidence: 99%
See 1 more Smart Citation
“…Various definitions for (dis)similarity have been proposed in the literature in various data domains [3], [4], [25] without consensus. Motivated by a popular definition of similarity between fuzzy sets [25], we propose the following definition in a mathematical lattice.…”
Section: Similarity Measures On Latticesmentioning
confidence: 99%
“…Another approach for dealing with nonnumerical data is by developing domain-specific (mathematical) tools. Drawbacks of the latter approach include: first, different mathematical tools need to be "ad-hoc" devised in different (nonnumerical) data domains and, second, performance cannot, often, be tuned [3], [4]. Yet another approach has been proposed lately based on mathematical lattice theory as explained next.…”
Section: Introductionmentioning
confidence: 97%
“…The literature [10] proposed a multi-criteria path selection method with the multi-objective optimization based on the vague similarity measure. In the method, multiple metrics (e.g., delay, bandwidth, hop count, and packet loss) in a path are considered as a vague set, and the vague values are partitioned into seven fuzzy levels.…”
Section: Related Workmentioning
confidence: 99%
“…[2][3]. To provide Quality of Service (QoS) assurance for the stated applications it is necessary to consider the uncertainty involved in the network environment as the parameters involved like cost, time, delay are not naturally precise and the uncertainty can be modeled by using Fuzzy numbers leading to Fuzzy Constrained Shortest Path Problem (FCSPP) [3].…”
Section: Introductionmentioning
confidence: 99%