fuzzy-rules-generator/fluid.ipynb
2024-11-01 11:04:05 +04:00

351 lines
182 KiB
Plaintext

{
"cells": [
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from skfuzzy import control as ctrl\n",
"\n",
"level = ctrl.Antecedent(np.arange(1.5, 9.0, 0.1), \"level\")\n",
"flow = ctrl.Antecedent(np.arange(0, 0.6, 0.01), \"flow\")\n",
"influx = ctrl.Consequent(np.arange(0, 0.6, 0.01), \"influx\")"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"c:\\Users\\user\\Projects\\python\\fuzzy\\.venv\\Lib\\site-packages\\skfuzzy\\control\\fuzzyvariable.py:125: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n",
" fig.show()\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import skfuzzy as fuzz\n",
"\n",
"level[\"low\"] = fuzz.zmf(level.universe, 2, 4)\n",
"level[\"average\"] = fuzz.trapmf(level.universe, [2, 4, 6, 8])\n",
"level[\"high\"] = fuzz.smf(level.universe, 6, 8)\n",
"level.view()\n",
"\n",
"flow[\"low\"] = fuzz.zmf(flow.universe, 0.2, 0.3)\n",
"flow[\"average\"] = fuzz.trapmf(flow.universe, [0.15, 0.25, 0.35, 0.45])\n",
"flow[\"high\"] = fuzz.smf(flow.universe, 0.3, 0.4)\n",
"flow.view()\n",
"\n",
"influx[\"low\"] = fuzz.zmf(influx.universe, 0.2, 0.3)\n",
"influx[\"average\"] = fuzz.trapmf(influx.universe, [0.15, 0.25, 0.35, 0.45])\n",
"influx[\"high\"] = fuzz.smf(influx.universe, 0.3, 0.4)\n",
"influx.view()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Figure size 640x480 with 1 Axes>, <Axes: >)"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rule1 = ctrl.Rule(level[\"low\"] & flow[\"high\"], influx[\"high\"])\n",
"rule2 = ctrl.Rule(level[\"low\"] & flow[\"average\"], influx[\"high\"])\n",
"rule3 = ctrl.Rule(level[\"low\"] & flow[\"low\"], influx[\"average\"])\n",
"rule4 = ctrl.Rule(level[\"average\"] & flow[\"high\"], influx[\"high\"])\n",
"rule5 = ctrl.Rule(level[\"average\"] & flow[\"average\"], influx[\"average\"])\n",
"rule6 = ctrl.Rule(level[\"average\"] & flow[\"low\"], influx[\"average\"])\n",
"rule7 = ctrl.Rule(level[\"high\"] & flow[\"high\"], influx[\"average\"])\n",
"rule8 = ctrl.Rule(level[\"high\"] & flow[\"average\"], influx[\"low\"])\n",
"rule9 = ctrl.Rule(level[\"high\"] & flow[\"low\"], influx[\"low\"])\n",
"\n",
"rule1.view()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"influx_ctrl = ctrl.ControlSystem(\n",
" [\n",
" rule1,\n",
" rule2,\n",
" rule3,\n",
" rule4,\n",
" rule5,\n",
" rule6,\n",
" rule7,\n",
" rule8,\n",
" rule9,\n",
" ]\n",
")\n",
"\n",
"influxes = ctrl.ControlSystemSimulation(influx_ctrl)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"=============\n",
" Antecedents \n",
"=============\n",
"Antecedent: level = 2.5\n",
" - low : 0.875\n",
" - average : 0.25\n",
" - high : 0.0\n",
"Antecedent: flow = 0.4\n",
" - low : 0.0\n",
" - average : 0.4999999999999997\n",
" - high : 1.0\n",
"\n",
"=======\n",
" Rules \n",
"=======\n",
"RULE #0:\n",
" IF level[low] AND flow[high] THEN influx[high]\n",
"\tAND aggregation function : fmin\n",
"\tOR aggregation function : fmax\n",
"\n",
" Aggregation (IF-clause):\n",
" - level[low] : 0.875\n",
" - flow[high] : 1.0\n",
" level[low] AND flow[high] = 0.875\n",
" Activation (THEN-clause):\n",
" influx[high] : 0.875\n",
"\n",
"RULE #1:\n",
" IF level[low] AND flow[average] THEN influx[high]\n",
"\tAND aggregation function : fmin\n",
"\tOR aggregation function : fmax\n",
"\n",
" Aggregation (IF-clause):\n",
" - level[low] : 0.875\n",
" - flow[average] : 0.4999999999999997\n",
" level[low] AND flow[average] = 0.4999999999999997\n",
" Activation (THEN-clause):\n",
" influx[high] : 0.4999999999999997\n",
"\n",
"RULE #2:\n",
" IF level[low] AND flow[low] THEN influx[average]\n",
"\tAND aggregation function : fmin\n",
"\tOR aggregation function : fmax\n",
"\n",
" Aggregation (IF-clause):\n",
" - level[low] : 0.875\n",
" - flow[low] : 0.0\n",
" level[low] AND flow[low] = 0.0\n",
" Activation (THEN-clause):\n",
" influx[average] : 0.0\n",
"\n",
"RULE #3:\n",
" IF level[average] AND flow[high] THEN influx[high]\n",
"\tAND aggregation function : fmin\n",
"\tOR aggregation function : fmax\n",
"\n",
" Aggregation (IF-clause):\n",
" - level[average] : 0.25\n",
" - flow[high] : 1.0\n",
" level[average] AND flow[high] = 0.25\n",
" Activation (THEN-clause):\n",
" influx[high] : 0.25\n",
"\n",
"RULE #4:\n",
" IF level[average] AND flow[average] THEN influx[average]\n",
"\tAND aggregation function : fmin\n",
"\tOR aggregation function : fmax\n",
"\n",
" Aggregation (IF-clause):\n",
" - level[average] : 0.25\n",
" - flow[average] : 0.4999999999999997\n",
" level[average] AND flow[average] = 0.25\n",
" Activation (THEN-clause):\n",
" influx[average] : 0.25\n",
"\n",
"RULE #5:\n",
" IF level[average] AND flow[low] THEN influx[average]\n",
"\tAND aggregation function : fmin\n",
"\tOR aggregation function : fmax\n",
"\n",
" Aggregation (IF-clause):\n",
" - level[average] : 0.25\n",
" - flow[low] : 0.0\n",
" level[average] AND flow[low] = 0.0\n",
" Activation (THEN-clause):\n",
" influx[average] : 0.0\n",
"\n",
"RULE #6:\n",
" IF level[high] AND flow[high] THEN influx[average]\n",
"\tAND aggregation function : fmin\n",
"\tOR aggregation function : fmax\n",
"\n",
" Aggregation (IF-clause):\n",
" - level[high] : 0.0\n",
" - flow[high] : 1.0\n",
" level[high] AND flow[high] = 0.0\n",
" Activation (THEN-clause):\n",
" influx[average] : 0.0\n",
"\n",
"RULE #7:\n",
" IF level[high] AND flow[average] THEN influx[low]\n",
"\tAND aggregation function : fmin\n",
"\tOR aggregation function : fmax\n",
"\n",
" Aggregation (IF-clause):\n",
" - level[high] : 0.0\n",
" - flow[average] : 0.4999999999999997\n",
" level[high] AND flow[average] = 0.0\n",
" Activation (THEN-clause):\n",
" influx[low] : 0.0\n",
"\n",
"RULE #8:\n",
" IF level[high] AND flow[low] THEN influx[low]\n",
"\tAND aggregation function : fmin\n",
"\tOR aggregation function : fmax\n",
"\n",
" Aggregation (IF-clause):\n",
" - level[high] : 0.0\n",
" - flow[low] : 0.0\n",
" level[high] AND flow[low] = 0.0\n",
" Activation (THEN-clause):\n",
" influx[low] : 0.0\n",
"\n",
"\n",
"==============================\n",
" Intermediaries and Conquests \n",
"==============================\n",
"Consequent: influx = 0.4315251220586045\n",
" low:\n",
" Accumulate using accumulation_max : 0.0\n",
" average:\n",
" Accumulate using accumulation_max : 0.25\n",
" high:\n",
" Accumulate using accumulation_max : 0.875\n",
"\n"
]
},
{
"data": {
"text/plain": [
"np.float64(0.4315251220586045)"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"influxes.input[\"level\"] = 2.5\n",
"influxes.input[\"flow\"] = 0.4\n",
"influxes.compute()\n",
"influxes.print_state()\n",
"influxes.output[\"influx\"]"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"influx.view(sim=influxes)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": ".venv",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.7"
}
},
"nbformat": 4,
"nbformat_minor": 2
}