Comparative Study of Type-1 and Interval Type-2 Fuzzy Systems in the Fuzzy Harmony Search Algorithm Applied to Benchmark Functions

Harmony Search Algorithm and Fuzzy Logic Theory: An Extensive Review from Theory to Applications

“…Peraza et al [92] carried out a comparative study on the use of fuzzy intervals of T1 and T2-FLS to solve optimization problems using the HS algorithm. As the number of iterations increases, the FHS dynamically updates the internal parameters of the HS algorithm to obtain a thorough analysis of the original process using a T1-FLS.…”

“…The aim of the research was to evaluate the FHS refinement, in particular with regard to new input parameters and techniques, which allowed for obtaining improved methods. Indeed, the difference between the success of the analysis by Peraza et al [93] and Peraza et al [92] integrates the second input with a fuzzy system Type-1 and interval Type-2 and integrate the two parameters in the outputs to create a more complex approach, where problems are solved more effectively.…”

“…Placement and sizing of passive and active power filters [57] Flexible job shop scheduling problem [46] Dynamic reconfiguration of distribution network [47] Food transportation problem [61] Short-term load forecasting [66] Electric load forecasting [67] Efficient stock price prediction [69] Capacitor placement in distribution systems [90] Mathematical functions and controller optimization [13] Mathematical functions [93] Mathematical functions [92] Benchmarks functions [94] Power plant control [95] Optimization of FLC [96] Load frequency stabilization of an isolated hybrid power system [99] Frequency stabilization of an isolated hybrid power system [98] FCMAC [102] Designing stable adaptive fuzzy controllers [103] Frequency and power control of an IHPS [105] Design of stable adaptive fuzzy tracking control strategy for vision-based navigation of autonomous mobile robots [111] Stable fuzzy controller design [109] FCMACNN [112] Web document clustering [120] Clustering web documents [121] MRI brain segmentation [123] Fuzzy clustering [125] Scheme classification [128] Image segmentation [133] Clustering to image segmentation [130] Image clustering method [137] FLC parameters optimization [139] Fuzzy rough set reduct [141] Stock market volatility prediction [143] HHS Aggregate production planning [62] FTS optimization [126] Wireless sensor networks [127] Sugeno fuzzy classification systems ...…”

“…Frequency and power control of an isolated hybrid power system (IHPS) [105] Design of fuzzy power system stabilizer [106] Multi-area restructure problem [116] Multi-stage fuzzy load frequency control [117] Load frequency control [118] Stable fuzzy controller design [109] Power plant control [95] Optimization of FLC [96] FCMAC [102] Designing stable adaptive fuzzy controllers [103] Type-2 FL controllers [108] Temperature control of air heater system [110] Design of stable adaptive fuzzy tracking control strategy for vision-based navigation of autonomous mobile robots [111] Fuzzy controller [101] T2-FLS Benchmark mathematical functions [91] Mathematical functions and controller optimization [13] Mathematical functions [93] Mathematical functions [92] Benchmarks functions [94] Stock market volatility prediction [143] Benchmark control problems [72] Fuzzy Clustering Web document clustering [120] Clustering web documents [121] Fuzzy c-means segmentation of MR images [50] MRI brain segmentation [123] Simultaneous determination of aquifer parameters and zone structures [124] Fuzzy clustering [125] FTS (FTS) optimization [126] Wireless sensor networks [127] Scheme classification [128] Energy-efficient wireless sensor networks [131] Simultaneous estimation of groundwater recharge rates, associated zone structures, and hydraulic conductivity values [132] Image segmentation [133] Enodeb position forecasting of LTE based on BTS existing [134] Sugeno fuzzy classification systems …”

“…Optimization problems [49] Optimization of a benchmark set of functions [55] Mathematical functions and controller optimization [13] Mathematical functions [93] Mathematical functions [92] Benchmarks functions [94] Optimization of the ball and beam controller [113] Other Food transportation problem [61] Efficient stock price prediction [69] Stock market volatility prediction [143] Figure 11. Percentage of the reported articles that used HS and FL in various research fields (2012~22 August 2020).…”