Coevolutionary Fuzzy Modeling by Carlos Andrés Peña-Reyes

By Carlos Andrés Peña-Reyes

Building on fuzzy good judgment and evolutionary computing, this booklet introduces fuzzy cooperative coevolution as a singular method of structures layout, conductive to explaining human choice method. Fuzzy cooperative coevolution is a strategy for developing platforms in a position to safely are expecting the result of a decision-making procedure, whereas supplying an comprehensible rationalization of the underlying reasoning.

The important contribution of this paintings is using a complicated evolutionary approach, cooperative coevolution, for facing the simultaneous layout of connective and operational parameters. Cooperative coevolution overcomes numerous boundaries exhibited through different commonplace evolutionary approaches.

The applicability of fuzzy cooperative coevolution is verified by way of modeling the choice strategies of 3 real-world difficulties, an iris facts benchmark challenge and difficulties from breast melanoma diagnosis.

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The set of rules must be as small as possible. If, however, the rule base is still large, rendering hard a global understanding of the system, the number of rules that fire simultaneously for any input vector must remain low in order to furnish a simple local view of the behavior. – Single-rule readability. , number of entities ≤ 7 ± 2). – Consistency. , they should be semantically close. 3 Strategies to Satisfy Semantic and Syntactic Criteria The criteria presented above, intended to assess interpretability of a fuzzy system, define a number of restrictions on the definition of fuzzy parameters.

1 The Direct Approach to Fuzzy Modeling. In this approach, the system is first linguistically described, based on the expert’s a priori knowledge. It is then translated into the formal structure of a fuzzy model following the steps proposed by Zadeh [123]: 1. Selection of the input, state, and output variables (structural parameters); 2. Determination of the universes of discourse (structural parameters); 3. Determination of the linguistic labels into which these variables are partitioned (structural parameters); 4.

The models proposed by Zadeh present three distinguishable features: (1) the use of linguistic variables in place or in addition to numerical variables, (2) the description of simple relations between variables by conditional fuzzy statements, and (3) the characterization of complex relations by fuzzy algorithms. Current fuzzy modeling techniques still follow these principles. An important issue in designing fuzzy models, which is a difficult and extremely ill-defined process, involves the question of providing a methodology for their development.

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