fuzzy-game-recommender/fuzzy_controllers.py

import simpful as sf
import numpy as np
import matplotlib.pylab as plt


def fuzzy_controler_popularity(price: float, game_length: int, rating: float, number_of_owners: int) -> float:
    FS = sf.FuzzySystem(show_banner=False)

    S_1 = sf.FuzzySet(points=[[0., 1.], [30., 0.]], term="negative")
    S_2 = sf.FuzzySet(points=[[35., 0.], [40., 1.], [60., 1.], [70., 0.]], term="average")
    S_3 = sf.FuzzySet(points=[[80., 0.], [90., 1.]], term="positive")
    FS.add_linguistic_variable("Rating", sf.LinguisticVariable([S_1, S_2, S_3], concept="Rating"))

    S_1 = sf.FuzzySet(points=[[0., 1.], [50000., 0.]], term="small")
    S_2 = sf.FuzzySet(points=[[100000., 0.], [300000., 1.], [3000000., 1.], [5000000., 0.]], term="average")
    S_3 = sf.FuzzySet(points=[[10000000., 0.], [30000000., 1.]], term="big")
    FS.add_linguistic_variable("Number_of_owners",
                               sf.LinguisticVariable([S_1, S_2, S_3], concept="Number_of_owners"))

    S_1 = sf.FuzzySet(points=[[0., 1.], [10., 0.]], term="cheap")
    S_2 = sf.FuzzySet(points=[[10., 0.], [15., 1.], [20., 1.], [25., 0.]], term="average")
    S_3 = sf.FuzzySet(points=[[25., 0.], [35., 1.]], term="expensive")
    FS.add_linguistic_variable("Price", sf.LinguisticVariable([S_1, S_2, S_3], concept="Price"))

    F_1 = sf.FuzzySet(points=[[200., 1.], [300., 0.]], term="short")
    F_2 = sf.FuzzySet(points=[[300., 0.], [360., 1.], [420., 1.], [500., 0.]], term="average")
    F_3 = sf.FuzzySet(points=[[500., 0.], [550., 1.]], term="long")
    FS.add_linguistic_variable("Game_length", sf.LinguisticVariable([F_1, F_2, F_3], concept="Game_length"))

    FS.set_crisp_output_value("small", 0)
    FS.set_crisp_output_value("average", 0.5)
    FS.set_crisp_output_value("big", 1)

    R1 = "IF (Price IS average) OR (Game_length IS average) OR (Rating IS average) OR (Number_of_owners IS average) " \
         "THEN (Popularity IS average)"
    R2 = "IF (Price IS expensive) AND (Game_length IS long) AND (Rating IS positive) THEN (Popularity IS big)"
    R3 = "IF (Price IS expensive) AND (Game_length IS short) THEN (Popularity IS small)"
    R4 = "IF (Price IS cheap) THEN (Popularity IS big)"
    R5 = "IF (Rating IS negative) THEN (Popularity IS small)"
    R6 = "IF (Rating IS positive) AND (Number_of_owners IS small) THEN (Popularity IS average)"
    R7 = "IF (Rating IS average) AND (Price IS cheap) THEN (Popularity IS big)"

    FS.add_rules([R1, R2, R3, R4, R5, R6, R7])

    FS.set_variable("Price", price)
    FS.set_variable("Game_length", game_length)
    FS.set_variable("Rating", rating)
    FS.set_variable("Number_of_owners", number_of_owners)
    popularity = FS.Sugeno_inference(["Popularity"])
    return round(popularity["Popularity"], 2)


def fuzzy_controler_similiarity(categorical_data: str, numerical_data: str, vector_distance: float, show_graph: bool)\
        -> float:
    FSS = sf.FuzzySystem(show_banner=False)

    S_1 = sf.FuzzySet(points=[[.20, 1.], [.30, 0.]], term="small")
    S_2 = sf.FuzzySet(points=[[.30, 0.], [.55, 1.], [.65, 1.], [.85, 0.]], term="average")
    S_3 = sf.FuzzySet(points=[[.85, 0.], [.90, 1.]], term="big")
    FSS.add_linguistic_variable("Categorical_similarity",
                                sf.LinguisticVariable([S_1, S_2, S_3], concept="Categorical similarity"))

    S_1 = sf.FuzzySet(points=[[.30, 1.], [.40, 0.]], term="small")
    S_2 = sf.FuzzySet(points=[[.40, 0.], [.50, 1.], [.60, 1.], [.70, 0.]], term="average")
    S_3 = sf.FuzzySet(points=[[.70, 0.], [.90, 1.]], term="big")
    FSS.add_linguistic_variable("Numerical_difference",
                                sf.LinguisticVariable([S_1, S_2, S_3], concept="Numerical difference"))

    S_1 = sf.FuzzySet(points=[[.20, 1.], [.30, 0.]], term="small")
    S_2 = sf.FuzzySet(points=[[.30, 0.], [.55, 1.], [.65, 1.], [.85, 0.]], term="average")
    S_3 = sf.FuzzySet(points=[[.85, 0.], [.90, 1.]], term="big")
    FSS.add_linguistic_variable("Word_vector_distance",
                                sf.LinguisticVariable([S_1, S_2, S_3], concept="Word vector distance"))

    FSS.set_crisp_output_value("small", 0)
    FSS.set_crisp_output_value("average", 0.5)
    FSS.set_crisp_output_value("big", 1)

    # TODO: add Word_vector_distance to rules
    R1 = "IF (Categorical_similarity IS average) OR (Numerical_difference IS average) THEN (Similarity IS average)"
    R2 = "IF (Categorical_similarity IS small) OR (Numerical_difference IS big) THEN (Similarity IS small)"
    R3 = "IF (Categorical_similarity IS big) OR (Numerical_difference IS small) THEN (Similarity IS big)"

    FSS.add_rules([R1, R2, R3])

    # show graph for two variables
    if show_graph:
        plot_graphs(FS=FSS)

    FSS.set_variable("Categorical_similarity", categorical_data)
    FSS.set_variable("Numerical_difference", numerical_data)
    popularity = FSS.Sugeno_inference(["Similarity"])
    return round(popularity["Similarity"], 2)


def plot_graphs(FS: sf.FuzzySystem):
    xs = []
    ys = []
    zs = []
    for x in np.linspace(0, 1):
        for y in np.linspace(0, 1):
            FS.set_variable("Categorical_similarity", x)
            FS.set_variable("Numerical_difference", y)
            tip = FS.inference()['Similarity']
            xs.append(x)
            ys.append(y)
            zs.append(tip)
    xs = np.array(xs)
    ys = np.array(ys)
    zs = np.array(zs)

    fig = plt.figure()
    ax = fig.add_subplot(111, projection='3d')

    xx, yy = plt.meshgrid(xs, ys)
    ax.plot_trisurf(xs, ys, zs, vmin=0, vmax=100)
    ax.set_xlabel("Categorical_similarity")
    ax.set_ylabel("Numerical_difference")
    ax.set_zlabel("Similarity")
    ax.set_zlim(0, 1)
    plt.tight_layout()
    plt.show()