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This paper introduces a new approach for the routing problem in Elastic Optical Networks using an intelligent system based on Fuzzy Logic. It defines a route to a given pair, considering metrics as the spectral fragmentation and the index of the slots to establish the circuit for the USA Topology. The paper outlines the performance of the external fragmentation and network utilization metrics. The...
Fuzzy Logic Systems (FLS) are a well documented proven method for various applications such as control classification and data mining. The major advantage of FLS is the use of human interpretable linguistic terms and rules. In order to capture the uncertainty inherent to linguistic terms, Fuzzy Membership Functions (MF) are used. Therefore, membership functions are essential for improving the understandability...
Since Zadeh’s proposal and Mamdani’s seminal ideas, interpretability is acknowledged as one of the most appreciated and valuable characteristics of fuzzy system identification methodologies. It represents the ability of fuzzy systems to formalize the behavior of a real system in a human understandable way, by means of a set of linguistic variables and rules with a high semantic expressivity close...
The concept monoid in mathematical algebraic group is utilized to provide the value ranges of the language variables in fuzzy logic systems. This means that the language interpretation of fuzzy logic systems is determined mainly as the monoids. Then the method is proposed for fuzzy logic systems to determine their universal approximation property by verifying some mathematic conditions of the monoids.
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