diff --git a/lab_7/lab7.ipynb b/lab_7/lab7.ipynb new file mode 100644 index 0000000..8dff6c0 --- /dev/null +++ b/lab_7/lab7.ipynb @@ -0,0 +1,238 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Настройка параметров лингвистических переменных\n", + "Для каждой переменной определим количество термов, типы и параметры функций принадлежности.\n", + "\n", + "Для переменной Cost:\n", + "- Термы: Низкий, Средний, Высокий\n", + "- Тип функции принадлежности: Треугольная\n", + "Параметры:\n", + "- Низкий: (0, 200, 400)\n", + "- Средний: (300, 600, 900)\n", + "- Высокий: (800, 1200, 1600)\n", + "\n", + "Для переменной Shares:\n", + "- Термы: Мало, Средне, Много\n", + "- Тип функции принадлежности: Треугольная\n", + "Параметры:\n", + "- Мало: (0, 5000, 10000)\n", + "- Средне: (8000, 15000, 20000)\n", + "- Много: (18000, 25000, 30000)\n", + "\n", + "Для переменной Value ($):\n", + "- Термы: Низкий, Средний, Высокий\n", + "- Тип функции принадлежности: Треугольная\n", + "\n", + "Параметры:\n", + "- Низкий: (0, 500000, 1000000)\n", + "- Средний: (800000, 1500000, 2000000)\n", + "- Высокий: (1800000, 2500000, 3000000)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "from pandas import DataFrame\n", + "import numpy as np\n", + "import skfuzzy as fuzz\n", + "import matplotlib.pyplot as plt\n", + "\n", + "df: DataFrame = pd.read_csv(\"../static/csv/TSLA.csv\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Формирование базы нечетких правил\n", + "Сформируем базу нечетких правил, которые связывают входные и выходные переменные." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Определение диапазонов значений для входных переменных\n", + "x_cost = np.linspace(0, 1600, 100)\n", + "x_shares = np.linspace(0, 30000, 100)\n", + "x_value = np.linspace(0, 3000000, 100)\n", + "\n", + "# Определение функций принадлежности для Cost\n", + "cost_low = fuzz.trapmf(x_cost, [0, 0, 200, 400])\n", + "cost_medium = fuzz.trimf(x_cost, [300, 600, 900])\n", + "cost_high = fuzz.smf(x_cost, 800, 1200)\n", + "\n", + "# Определение функций принадлежности для Shares\n", + "shares_low = fuzz.trapmf(x_shares, [0, 0, 5000, 10000])\n", + "shares_medium = fuzz.trimf(x_shares, [8000, 15000, 20000])\n", + "shares_high = fuzz.smf(x_shares, 18000, 25000)\n", + "\n", + "# Определение функций принадлежности для Value\n", + "value_low = fuzz.trapmf(x_value, [0, 0, 500000, 1000000])\n", + "value_medium = fuzz.trimf(x_value, [800000, 1500000, 2000000])\n", + "value_high = fuzz.smf(x_value, 1800000, 2500000)\n", + "\n", + "# Определение нечетких правил\n", + "fuzzy_rules = [\n", + " (\"Низкий\", \"Мало\", \"Низкий\"),\n", + " (\"Низкий\", \"Средне\", \"Средний\"),\n", + " (\"Низкий\", \"Много\", \"Высокий\"),\n", + " (\"Средний\", \"Мало\", \"Средний\"),\n", + " (\"Средний\", \"Средне\", \"Высокий\"),\n", + " (\"Средний\", \"Много\", \"Высокий\"),\n", + " (\"Высокий\", \"Мало\", \"Высокий\"),\n", + " (\"Высокий\", \"Средне\", \"Высокий\"),\n", + " (\"Высокий\", \"Много\", \"Высокий\")\n", + "]\n", + "\n", + "# Визуализация функций принадлежности\n", + "fig, (ax0, ax1, ax2) = plt.subplots(nrows=3, figsize=(8, 9))\n", + "\n", + "ax0.plot(x_cost, cost_low, 'b', linewidth=1.5, label='Низкий')\n", + "ax0.plot(x_cost, cost_medium, 'g', linewidth=1.5, label='Средний')\n", + "ax0.plot(x_cost, cost_high, 'r', linewidth=1.5, label='Высокий')\n", + "ax0.set_title('Функции принадлежности для Cost')\n", + "ax0.legend()\n", + "\n", + "ax1.plot(x_shares, shares_low, 'b', linewidth=1.5, label='Мало')\n", + "ax1.plot(x_shares, shares_medium, 'g', linewidth=1.5, label='Средне')\n", + "ax1.plot(x_shares, shares_high, 'r', linewidth=1.5, label='Много')\n", + "ax1.set_title('Функции принадлежности для Shares')\n", + "ax1.legend()\n", + "\n", + "ax2.plot(x_value, value_low, 'b', linewidth=1.5, label='Низкий')\n", + "ax2.plot(x_value, value_medium, 'g', linewidth=1.5, label='Средний')\n", + "ax2.plot(x_value, value_high, 'r', linewidth=1.5, label='Высокий')\n", + "ax2.set_title('Функции принадлежности для Value')\n", + "ax2.legend() \n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Оценка качества полученной нечеткой системы\n", + "Для оценки качества системы создадим тестовые данные и применим нечеткие правила для получения предсказанных значений. Затем сравним их с реальными значениями." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cost | Shares | Эталонная Value | Оцененная Value\n", + " 150 | 5000 | 750000 | 388854.87\n", + " 450 | 12000 | 1500000 | 1421901.23\n", + "1000 | 20000 | 2500000 | 2512975.52\n", + "\n", + "Средняя абсолютная ошибка (MAE): 150739.81\n", + "Среднеквадратичная ошибка (RMSE): 213458.50\n" + ] + } + ], + "source": [ + "# Функция для вычисления нечеткой оценки\n", + "def fuzzy_inference(cost, shares):\n", + " # Определение степени принадлежности\n", + " cost_low_degree = fuzz.interp_membership(x_cost, cost_low, cost)\n", + " cost_medium_degree = fuzz.interp_membership(x_cost, cost_medium, cost)\n", + " cost_high_degree = fuzz.interp_membership(x_cost, cost_high, cost)\n", + "\n", + " shares_low_degree = fuzz.interp_membership(x_shares, shares_low, shares)\n", + " shares_medium_degree = fuzz.interp_membership(x_shares, shares_medium, shares)\n", + " shares_high_degree = fuzz.interp_membership(x_shares, shares_high, shares)\n", + "\n", + " # Применяем правила\n", + " # Активируем термы выходной переменной с использованием степени принадлежности\n", + " value_low_activated = np.fmin(cost_low_degree, value_low)\n", + " value_medium_activated = np.fmin(cost_medium_degree, value_medium)\n", + " value_high_activated = np.fmin(cost_high_degree, value_high)\n", + "\n", + " # Агрегируем все активированные термы\n", + " aggregated = np.fmax(value_low_activated, np.fmax(value_medium_activated, value_high_activated))\n", + "\n", + " # Дефуззификация\n", + " value_defuzz = fuzz.defuzz(x_value, aggregated, 'centroid')\n", + "\n", + " return value_defuzz\n", + "\n", + "# Оценка системы на тестовом наборе данных\n", + "results = []\n", + "for cost, shares, actual_value in test_data:\n", + " inferred_value = fuzzy_inference(cost, shares)\n", + " results.append((cost, shares, actual_value, inferred_value))\n", + "\n", + "# Вывод результатов\n", + "print(\"Cost | Shares | Эталонная Value | Оцененная Value\")\n", + "for cost, shares, actual_value, inferred_value in results:\n", + " print(f\"{cost:4} | {shares:6} | {actual_value:15} | {inferred_value:.2f}\")\n", + "\n", + "# Вычисление метрик качества\n", + "actual_values = [actual for _, _, actual, _ in results]\n", + "inferred_values = [inferred for _, _, _, inferred in results]\n", + "\n", + "mae = np.mean(np.abs(np.array(actual_values) - np.array(inferred_values)))\n", + "rmse = np.sqrt(np.mean((np.array(actual_values) - np.array(inferred_values)) ** 2))\n", + "\n", + "print(f\"\\nСредняя абсолютная ошибка (MAE): {mae:.2f}\")\n", + "print(f\"Среднеквадратичная ошибка (RMSE): {rmse:.2f}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "В результате выполнения лабораторной работы была создана нечеткая система, которая позволяет оценивать общую стоимость транзакции на основе стоимости акции и количества акций. Система была протестирована на тестовых данных, и были вычислены метрики качества (MAE и RMSE). Полученные результаты указывают на необходимость дальнейшей настройки системы для повышения точности предсказаний." + ] + } + ], + "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": "3.13.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/lab_7/requirements.txt b/lab_7/requirements.txt new file mode 100644 index 0000000..977c5c8 --- /dev/null +++ b/lab_7/requirements.txt @@ -0,0 +1,32 @@ +asttokens==2.4.1 +colorama==0.4.6 +comm==0.2.2 +debugpy==1.8.5 +decorator==5.1.1 +executing==2.1.0 +ipykernel==6.29.5 +ipython==8.27.0 +jedi==0.19.1 +jupyter_client==8.6.2 +jupyter_core==5.7.2 +matplotlib-inline==0.1.7 +nest-asyncio==1.6.0 +numpy==2.1.1 +packaging==24.1 +pandas==2.2.2 +parso==0.8.4 +platformdirs==4.3.2 +prompt_toolkit==3.0.47 +psutil==6.0.0 +pure_eval==0.2.3 +Pygments==2.18.0 +python-dateutil==2.9.0.post0 +pytz==2024.2 +pywin32==306 +pyzmq==26.2.0 +six==1.16.0 +stack-data==0.6.3 +tornado==6.4.1 +traitlets==5.14.3 +tzdata==2024.1 +wcwidth==0.2.13