Abstract
In this paper, the optimal designs of type-1 and interval type-2 fuzzy systems for the classification of the heart rate level are presented. The contribution of this work is a proposed approach for achieving the optimal design of interval type-2 fuzzy systems for the classification of the heart rate in patients. The fuzzy rule base was designed based on the knowledge of experts. Optimization of the membership functions of the fuzzy systems is done in order to improve the classification rate and provide a more accurate diagnosis, and for this goal the Bird Swarm Algorithm was used. Two different type-1 fuzzy systems are designed and optimized, the first one with trapezoidal membership functions and the second with Gaussian membership functions. Once the best type-1 fuzzy systems have been obtained, these are considered as a basis for designing the interval type-2 fuzzy systems, where the footprint of uncertainty was optimized to find the optimal representation of uncertainty. After performing different tests with patients and comparing the classification rate of each fuzzy system, it is concluded that fuzzy systems with Gaussian membership functions provide a better classification than those designed with trapezoidal membership functions. Additionally, tests were performed with the Crow Search Algorithm to carry out a performance comparison, with Bird Swarm Algorithm being the one with the best results.
Highlights
Nowadays, bio-inspired algorithms are used for optimization in different application areas, such as control [1], prediction [2], security [3], scheduling [4], etc
Several metaheuristics have been used to carry out this process, such as the Genetic Algorithm (GA) [6], Particle Swarm Optimization (PSO) [7], Flower Pollination Algorithm (FPA) [8], and Social Spider Algorithm (SSA) [9], among others
Bird Swarm Algorithm (BSA) was used for the optimization of the membership function parameters in type-1 and interval type-2 fuzzy systems, with the aim of improving the performance at the moment of classifying the heart level of different patients
Summary
Bio-inspired algorithms are used for optimization in different application areas, such as control [1], prediction [2], security [3], scheduling [4], etc. Optimization is defined as the mathematical process to find the best solution to a problem [5]. Several metaheuristics have been used to carry out this process, such as the Genetic Algorithm (GA) [6], Particle Swarm Optimization (PSO) [7], Flower Pollination Algorithm (FPA) [8], and Social Spider Algorithm (SSA) [9], among others. The Bird Swarm Algorithm (BSA) was used to optimize the membership function parameters of the fuzzy systems. The Bird Swarm Algorithm [10] was originally proposed by Xian-Bing Men in 2015 to solve optimization problems. This algorithm mimics the behavior and social interaction of birds in a swarm
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