223 lines
11 KiB
Python
223 lines
11 KiB
Python
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import numpy as np
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import skfuzzy as fuzz
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import matplotlib.pyplot as plt
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# https://pythonhosted.org/scikit-fuzzy/auto_examples/plot_tipping_problem.html
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# Variables for universes
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unv_clubs = unv_goals = unv_avgValue = unv_totValue = unv_players = unv_teamsChL = unv_teamsEuL = unv_teamsCfL = unv_score = None
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# Variables for fuzzy membership functions
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clubs_low = clubs_mid = clubs_hig = None
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goals_low = goals_mid = goals_hig = None
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avgValue_low = avgValue_mid = avgValue_hig = None
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totValue_low = totValue_mid = totValue_hig = None
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players_low = players_mid = players_hig = None
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teamsChL_low = teamsChL_mid = teamsChL_hig = None
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teamsEuL_low = teamsEuL_mid = teamsEuL_hig = None
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teamsCfL_low = teamsCfL_mid = teamsCfL_hig = None
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score_low = score_mid = score_hig = None
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# Activations of fuzzy membership functions
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clubs_low_level = clubs_mid_level = clubs_hig_level = None
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goals_low_level = goals_mid_level = goals_hig_level = None
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avgValue_low_level = avgValue_mid_level = avgValue_hig_level = None
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totValue_low_level = totValue_mid_level = totValue_hig_level = None
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players_low_level = players_mid_level = players_hig_level = None
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teamsChL_low_level = teamsChL_mid_level = teamsChL_hig_level = None
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teamsEuL_low_level = teamsEuL_mid_level = teamsEuL_hig_level = None
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teamsCfL_low_level = teamsCfL_mid_level = teamsCfL_hig_level = None
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def initFuzzyMembershipFunctions():
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global unv_clubs, unv_goals, unv_avgValue, unv_totValue, unv_players, unv_teamsChL, unv_teamsEuL, unv_teamsCfL, unv_score
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global clubs_low, clubs_mid, clubs_hig
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global goals_low, goals_mid, goals_hig
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global avgValue_low, avgValue_mid, avgValue_hig
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global totValue_low, totValue_mid, totValue_hig
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global players_low, players_mid, players_hig
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global teamsChL_low, teamsChL_mid, teamsChL_hig
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global teamsEuL_low, teamsEuL_mid, teamsEuL_hig
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global teamsCfL_low, teamsCfL_mid, teamsCfL_hig
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global score_low, score_mid, score_hig
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# Universes for variables
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unv_clubs = np.arange(2, 31, 1)
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unv_goals = np.arange(2, 4, 0.01)
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unv_avgValue = np.arange(0.01, 500.0, 0.01)
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unv_totValue = np.arange(0.01, 10000.0, 0.01)
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unv_players = np.arange(0, 100, 1)
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unv_teamsChL = np.arange(0, 10, 1)
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unv_teamsEuL = np.arange(0, 10, 1)
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unv_teamsCfL = np.arange(0, 10, 1)
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# Result score universum
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unv_score = np.arange(0, 100, 1)
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# Generate fuzzy membership functions
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# trimf - triangular function
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# trapmf - trapezoidal function
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clubs_low = fuzz.trapmf(unv_clubs, [2, 2, 10, 14])
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clubs_mid = fuzz.trapmf(unv_clubs, [10, 12, 16, 18])
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clubs_hig = fuzz.trapmf(unv_clubs, [14, 16, 30, 30])
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goals_low = fuzz.trapmf(unv_goals, [2.0, 2.0, 2.5, 3.0])
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goals_mid = fuzz.trapmf(unv_goals, [2.0, 2.5, 3.0, 3.5])
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goals_hig = fuzz.trapmf(unv_goals, [3.0, 3.5, 4.0, 4.0])
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avgValue_low = fuzz.trapmf(unv_avgValue, [0.01, 0.01, 100.0, 150.0])
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avgValue_mid = fuzz.trapmf(unv_avgValue, [100.0, 150.0, 350.0, 400.0])
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avgValue_hig = fuzz.trapmf(unv_avgValue, [350.0, 400.0, 500.0, 500.0])
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totValue_low = fuzz.trapmf(unv_totValue, [0.01, 0.01, 1000.0, 2000.0])
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totValue_mid = fuzz.trapmf(unv_totValue, [1000.0, 2000.0, 7000.0, 8000.0])
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totValue_hig = fuzz.trapmf(unv_totValue, [7000.0, 8000.0, 10000.0, 10000.0])
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players_low = fuzz.trapmf(unv_players, [0, 0, 5, 10])
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players_mid = fuzz.trapmf(unv_players, [5, 10, 15, 20])
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players_hig = fuzz.trapmf(unv_players, [15, 20, 100, 100])
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teamsChL_low = fuzz.trapmf(unv_teamsChL, [0, 0, 1, 2])
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teamsChL_mid = fuzz.trimf(unv_teamsChL, [1, 2, 3])
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teamsChL_hig = fuzz.trapmf(unv_teamsChL, [2, 3, 10, 10])
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teamsEuL_low = fuzz.trapmf(unv_teamsEuL, [0, 0, 1, 2])
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teamsEuL_mid = fuzz.trimf(unv_teamsEuL, [1, 2, 3])
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teamsEuL_hig = fuzz.trapmf(unv_teamsEuL, [2, 3, 10, 10])
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teamsCfL_low = fuzz.trapmf(unv_teamsCfL, [0, 0, 1, 2])
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teamsCfL_mid = fuzz.trimf(unv_teamsCfL, [1, 2, 3])
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teamsCfL_hig = fuzz.trapmf(unv_teamsCfL, [2, 3, 10, 10])
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score_low = fuzz.trapmf(unv_score, [0, 0, 20, 40])
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score_mid = fuzz.trapmf(unv_score, [20, 40, 60, 80])
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score_hig = fuzz.trapmf(unv_score, [60, 80, 100, 100])
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def activateFuzzyMembershipFunctions(values):
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global unv_clubs, unv_goals, unv_avgValue, unv_totValue, unv_players, unv_teamsChL, unv_teamsEuL, unv_teamsCfL
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global clubs_low, clubs_mid, clubs_hig
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global goals_low, goals_mid, goals_hig
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global avgValue_low, avgValue_mid, avgValue_hig
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global totValue_low, totValue_mid, totValue_hig
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global players_low, players_mid, players_hig
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global teamsChL_low, teamsChL_mid, teamsChL_hig
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global teamsEuL_low, teamsEuL_mid, teamsEuL_hig
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global teamsCfL_low, teamsCfL_mid, teamsCfL_hig
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global clubs_low_level, clubs_mid_level, clubs_hig_level
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global goals_low_level, goals_mid_level, goals_hig_level
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global avgValue_low_level, avgValue_mid_level, avgValue_hig_level
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global totValue_low_level, totValue_mid_level, totValue_hig_level
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global players_low_level, players_mid_level, players_hig_level
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global teamsChL_low_level, teamsChL_mid_level, teamsChL_hig_level
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global teamsEuL_low_level, teamsEuL_mid_level, teamsEuL_hig_level
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global teamsCfL_low_level, teamsCfL_mid_level, teamsCfL_hig_level
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# Activation of fuzzy membership functions at given values.
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clubs_low_level = fuzz.interp_membership(unv_clubs, clubs_low, values['clubs'])
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clubs_mid_level = fuzz.interp_membership(unv_clubs, clubs_mid, values['clubs'])
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clubs_hig_level = fuzz.interp_membership(unv_clubs, clubs_hig, values['clubs'])
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goals_low_level = fuzz.interp_membership(unv_goals, goals_low, values['goals'])
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goals_mid_level = fuzz.interp_membership(unv_goals, goals_mid, values['goals'])
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goals_hig_level = fuzz.interp_membership(unv_goals, goals_hig, values['goals'])
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avgValue_low_level = fuzz.interp_membership(unv_avgValue, avgValue_low, values['avgValue'])
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avgValue_mid_level = fuzz.interp_membership(unv_avgValue, avgValue_mid, values['avgValue'])
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avgValue_hig_level = fuzz.interp_membership(unv_avgValue, avgValue_hig, values['avgValue'])
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totValue_low_level = fuzz.interp_membership(unv_totValue, totValue_low, values['totValue'])
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totValue_mid_level = fuzz.interp_membership(unv_totValue, totValue_mid, values['totValue'])
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totValue_hig_level = fuzz.interp_membership(unv_totValue, totValue_hig, values['totValue'])
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players_low_level = fuzz.interp_membership(unv_players, players_low, values['players'])
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players_mid_level = fuzz.interp_membership(unv_players, players_mid, values['players'])
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players_hig_level = fuzz.interp_membership(unv_players, players_hig, values['players'])
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teamsChL_low_level = fuzz.interp_membership(unv_teamsChL, teamsChL_low, values['teamsChL'])
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teamsChL_mid_level = fuzz.interp_membership(unv_teamsChL, teamsChL_mid, values['teamsChL'])
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teamsChL_hig_level = fuzz.interp_membership(unv_teamsChL, teamsChL_hig, values['teamsChL'])
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teamsEuL_low_level = fuzz.interp_membership(unv_teamsEuL, teamsEuL_low, values['teamsEuL'])
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teamsEuL_mid_level = fuzz.interp_membership(unv_teamsEuL, teamsEuL_mid, values['teamsEuL'])
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teamsEuL_hig_level = fuzz.interp_membership(unv_teamsEuL, teamsEuL_hig, values['teamsEuL'])
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teamsCfL_low_level = fuzz.interp_membership(unv_teamsCfL, teamsCfL_low, values['teamsCfL'])
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teamsCfL_mid_level = fuzz.interp_membership(unv_teamsCfL, teamsCfL_mid, values['teamsCfL'])
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teamsCfL_hig_level = fuzz.interp_membership(unv_teamsCfL, teamsCfL_hig, values['teamsCfL'])
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def defineRules():
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global clubs_low_level, clubs_mid_level, clubs_hig_level
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global goals_low_level, goals_mid_level, goals_hig_level
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global avgValue_low_level, avgValue_mid_level, avgValue_hig_level
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global totValue_low_level, totValue_mid_level, totValue_hig_level
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global players_low_level, players_mid_level, players_hig_level
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global teamsChL_low_level, teamsChL_mid_level, teamsChL_hig_level
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global teamsEuL_low_level, teamsEuL_mid_level, teamsEuL_hig_level
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global teamsCfL_low_level, teamsCfL_mid_level, teamsCfL_hig_level
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global score_low, score_mid, score_hig, unv_score
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# OR
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active_rule1 = np.fmax(clubs_low_level,
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np.fmax(goals_low_level,
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np.fmax(avgValue_low_level,
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np.fmax(totValue_low_level,
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np.fmax(players_low_level,
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np.fmax(teamsChL_low_level,
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np.fmax(teamsEuL_low_level, teamsCfL_low_level)))))))
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active_rule2 = np.fmax(clubs_mid_level,
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np.fmax(goals_mid_level,
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np.fmax(avgValue_mid_level,
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np.fmax(totValue_mid_level,
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np.fmax(players_mid_level,
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np.fmax(teamsChL_mid_level,
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np.fmax(teamsEuL_mid_level, teamsCfL_mid_level)))))))
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active_rule3 = np.fmax(clubs_hig_level,
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np.fmax(goals_hig_level,
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np.fmax(avgValue_hig_level,
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np.fmax(totValue_hig_level,
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np.fmax(players_hig_level,
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np.fmax(teamsChL_hig_level,
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np.fmax(teamsEuL_hig_level, teamsCfL_hig_level)))))))
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score_activation_low = np.fmin(active_rule1, score_low)
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score_activation_mid = np.fmin(active_rule2, score_mid)
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score_activation_hig = np.fmin(active_rule3, score_hig)
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aggregated_rules = np.fmax(score_activation_low, np.fmax(score_activation_mid, score_activation_hig))
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# active_rule1 = np.fmax(qual_level_lo, serv_level_lo)
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# tip_activation_lo = np.fmin(active_rule1, tip_lo) # removed entirely to 0
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#
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#
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# tip_activation_md = np.fmin(serv_level_md, tip_md)
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#
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# active_rule3 = np.fmax(qual_level_hi, serv_level_hi)
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# tip_activation_hi = np.fmin(active_rule3, tip_hi)
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#
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# aggregated_rules = np.fmax(tip_activation_lo, np.fmax(tip_activation_md, tip_activation_hi))
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score = fuzz.defuzz(unv_score, aggregated_rules, 'centroid')
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score_activation = fuzz.interp_membership(unv_score, aggregated_rules, score) # for plot
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return score_activation
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if __name__ == "__main__":
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values = {}
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values['clubs'] = 18
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values['goals'] = 2.76
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values['avgValue'] = 14.16
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values['totValue'] = 254.90
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values['players'] = 0
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values['teamsChL'] = 1
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values['teamsEuL'] = 0
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values['teamsCfL'] = 3
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initFuzzyMembershipFunctions()
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activateFuzzyMembershipFunctions(values)
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result = defineRules()
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print(f"Ekstraklasa score is: {result}")
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#plt.show()
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