From c072d085dadd511701e43cf43840993c70da6958 Mon Sep 17 00:00:00 2001 From: Shreya123714 Date: Wed, 30 Oct 2024 16:46:13 +0530 Subject: [PATCH 01/10] Add guassian fuzzy set and its operations --- fuzzy_logic/gaussian_fuzzyset.py | 93 ++++++++++++++++++++++++++++++++ 1 file changed, 93 insertions(+) create mode 100644 fuzzy_logic/gaussian_fuzzyset.py diff --git a/fuzzy_logic/gaussian_fuzzyset.py b/fuzzy_logic/gaussian_fuzzyset.py new file mode 100644 index 000000000..8ca8947d9 --- /dev/null +++ b/fuzzy_logic/gaussian_fuzzyset.py @@ -0,0 +1,93 @@ +""" +By @Shreya123714 + +https://en.wikipedia.org/wiki/Fuzzy_set +https://en.wikipedia.org/wiki/Fuzzy_set_operations +https://en.wikipedia.org/wiki/Membership_function_(mathematics) +""" + +from __future__ import annotations +from dataclasses import dataclass +import numpy as np +import matplotlib.pyplot as plt + +@dataclass +class GaussianFuzzySet: + """ + A class for representing and manipulating Gaussian fuzzy sets. + + Attributes: + name: The name or label of the fuzzy set. + mean: The mean value (center) of the Gaussian fuzzy set. + std_dev: The standard deviation (controls the spread) of the Gaussian fuzzy set. + is_complement: Indicates whether this is the complement of the original fuzzy set. + + Methods: + membership(x): Calculate the membership value of an input 'x' in the fuzzy set. + complement(): Create a new GaussianFuzzySet instance representing the complement. + plot(): Plot the membership function of the fuzzy set. + + >>> fuzzy_set = GaussianFuzzySet("Medium Temperature", mean=25, std_dev=5) + >>> fuzzy_set.membership(25) + 1.0 + >>> fuzzy_set.membership(30) + 0.6065306597126334 + >>> fuzzy_set.complement().membership(25) + 0.0 + """ + + name: str + mean: float + std_dev: float + is_complement: bool = False # This flag indicates if it's the complement set + + def membership(self, x: float) -> float: + """ + Calculate the membership value of an input 'x' in the Gaussian fuzzy set. + If it's a complement set, returns 1 - the Gaussian membership. + + >>> GaussianFuzzySet("Medium", 0, 1).membership(0) + 1.0 + >>> GaussianFuzzySet("Medium", 0, 1).membership(1) + 0.6065306597126334 + """ + membership_value = np.exp(-0.5 * ((x - self.mean) / self.std_dev) ** 2) + return 1 - membership_value if self.is_complement else membership_value + + def complement(self) -> GaussianFuzzySet: + """ + Create a new GaussianFuzzySet instance representing the complement. + + >>> GaussianFuzzySet("Medium", 0, 1).complement().membership(0) + 0.0 + """ + return GaussianFuzzySet(f"¬{self.name}", self.mean, self.std_dev, is_complement=not self.is_complement) + + def plot(self): + """ + Plot the membership function of the Gaussian fuzzy set. + """ + x = np.linspace(self.mean - 3 * self.std_dev, self.mean + 3 * self.std_dev, 1000) + y = [self.membership(xi) for xi in x] + plt.plot(x, y, label=self.name) + plt.xlabel("x") + plt.ylabel("Membership") + plt.legend() + +if __name__ == "__main__": + from doctest import testmod + testmod() + + # Create an instance of GaussianFuzzySet + fuzzy_set = GaussianFuzzySet("Medium Temperature", mean=25, std_dev=5) + + # Display some membership values + print(f"Membership at mean (25): {fuzzy_set.membership(25)}") + print(f"Membership at 30: {fuzzy_set.membership(30)}") + print(f"Complement Membership at mean (25): {fuzzy_set.complement().membership(25)}") + + # Plot the Gaussian Fuzzy Set and its complement + fuzzy_set.plot() + fuzzy_set.complement().plot() + plt.title("Gaussian Fuzzy Set and its Complement") + plt.show() From fe0cc8dbf8339596b24492d3ffa44c706195db2c Mon Sep 17 00:00:00 2001 From: Shreya123714 Date: Wed, 30 Oct 2024 11:20:12 +0000 Subject: [PATCH 02/10] updating DIRECTORY.md --- DIRECTORY.md | 1 + 1 file changed, 1 insertion(+) diff --git a/DIRECTORY.md b/DIRECTORY.md index f0a34a553..2bf2bad2b 100644 --- a/DIRECTORY.md +++ b/DIRECTORY.md @@ -447,6 +447,7 @@ ## Fuzzy Logic * [Fuzzy Operations](fuzzy_logic/fuzzy_operations.py) + * [Gaussian Fuzzyset](fuzzy_logic/gaussian_fuzzyset.py) ## Genetic Algorithm * [Basic String](genetic_algorithm/basic_string.py) From a05f867d5bff9d215e15eadeb056a6333aa220d0 Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Wed, 30 Oct 2024 11:29:10 +0000 Subject: [PATCH 03/10] [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --- fuzzy_logic/gaussian_fuzzyset.py | 26 +++++++++++++++++++------- 1 file changed, 19 insertions(+), 7 deletions(-) diff --git a/fuzzy_logic/gaussian_fuzzyset.py b/fuzzy_logic/gaussian_fuzzyset.py index 8ca8947d9..b319f6a56 100644 --- a/fuzzy_logic/gaussian_fuzzyset.py +++ b/fuzzy_logic/gaussian_fuzzyset.py @@ -11,11 +11,12 @@ from dataclasses import dataclass import numpy as np import matplotlib.pyplot as plt + @dataclass class GaussianFuzzySet: """ A class for representing and manipulating Gaussian fuzzy sets. - + Attributes: name: The name or label of the fuzzy set. mean: The mean value (center) of the Gaussian fuzzy set. @@ -26,7 +27,7 @@ class GaussianFuzzySet: membership(x): Calculate the membership value of an input 'x' in the fuzzy set. complement(): Create a new GaussianFuzzySet instance representing the complement. plot(): Plot the membership function of the fuzzy set. - + >>> fuzzy_set = GaussianFuzzySet("Medium Temperature", mean=25, std_dev=5) >>> fuzzy_set.membership(25) 1.0 @@ -45,7 +46,7 @@ class GaussianFuzzySet: """ Calculate the membership value of an input 'x' in the Gaussian fuzzy set. If it's a complement set, returns 1 - the Gaussian membership. - + >>> GaussianFuzzySet("Medium", 0, 1).membership(0) 1.0 >>> GaussianFuzzySet("Medium", 0, 1).membership(1) @@ -57,25 +58,34 @@ class GaussianFuzzySet: def complement(self) -> GaussianFuzzySet: """ Create a new GaussianFuzzySet instance representing the complement. - + >>> GaussianFuzzySet("Medium", 0, 1).complement().membership(0) 0.0 """ - return GaussianFuzzySet(f"¬{self.name}", self.mean, self.std_dev, is_complement=not self.is_complement) + return GaussianFuzzySet( + f"¬{self.name}", + self.mean, + self.std_dev, + is_complement=not self.is_complement, + ) def plot(self): """ Plot the membership function of the Gaussian fuzzy set. """ - x = np.linspace(self.mean - 3 * self.std_dev, self.mean + 3 * self.std_dev, 1000) + x = np.linspace( + self.mean - 3 * self.std_dev, self.mean + 3 * self.std_dev, 1000 + ) y = [self.membership(xi) for xi in x] plt.plot(x, y, label=self.name) plt.xlabel("x") plt.ylabel("Membership") plt.legend() + if __name__ == "__main__": from doctest import testmod + testmod() # Create an instance of GaussianFuzzySet @@ -84,7 +94,9 @@ if __name__ == "__main__": # Display some membership values print(f"Membership at mean (25): {fuzzy_set.membership(25)}") print(f"Membership at 30: {fuzzy_set.membership(30)}") - print(f"Complement Membership at mean (25): {fuzzy_set.complement().membership(25)}") + print( + f"Complement Membership at mean (25): {fuzzy_set.complement().membership(25)}" + ) # Plot the Gaussian Fuzzy Set and its complement fuzzy_set.plot() From 03ae1181939280ce825adde26bfb8c3f2bf4358a Mon Sep 17 00:00:00 2001 From: Shreya <95279016+Shreya123714@users.noreply.github.com> Date: Wed, 30 Oct 2024 17:21:35 +0530 Subject: [PATCH 04/10] Update gaussian_fuzzyset.py corrected the np.float64(1.0) error --- fuzzy_logic/gaussian_fuzzyset.py | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/fuzzy_logic/gaussian_fuzzyset.py b/fuzzy_logic/gaussian_fuzzyset.py index b319f6a56..f735aa6b1 100644 --- a/fuzzy_logic/gaussian_fuzzyset.py +++ b/fuzzy_logic/gaussian_fuzzyset.py @@ -52,8 +52,10 @@ class GaussianFuzzySet: >>> GaussianFuzzySet("Medium", 0, 1).membership(1) 0.6065306597126334 """ + membership_value = np.exp(-0.5 * ((x - self.mean) / self.std_dev) ** 2) - return 1 - membership_value if self.is_complement else membership_value + # Directly return for non-complement or return 1 - membership for complement + return membership_value if not self.is_complement else 1 - membership_value def complement(self) -> GaussianFuzzySet: """ From 5f14a63eda29ea033168d76eb41273b51ebded7f Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Wed, 30 Oct 2024 11:51:57 +0000 Subject: [PATCH 05/10] [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --- fuzzy_logic/gaussian_fuzzyset.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/fuzzy_logic/gaussian_fuzzyset.py b/fuzzy_logic/gaussian_fuzzyset.py index f735aa6b1..e1b406d3c 100644 --- a/fuzzy_logic/gaussian_fuzzyset.py +++ b/fuzzy_logic/gaussian_fuzzyset.py @@ -52,7 +52,7 @@ class GaussianFuzzySet: >>> GaussianFuzzySet("Medium", 0, 1).membership(1) 0.6065306597126334 """ - + membership_value = np.exp(-0.5 * ((x - self.mean) / self.std_dev) ** 2) # Directly return for non-complement or return 1 - membership for complement return membership_value if not self.is_complement else 1 - membership_value From 63603cfe5126673ebc3096124fb04856a10f886f Mon Sep 17 00:00:00 2001 From: Shreya <95279016+Shreya123714@users.noreply.github.com> Date: Wed, 30 Oct 2024 17:32:38 +0530 Subject: [PATCH 06/10] Update gaussian_fuzzyset.py --- fuzzy_logic/gaussian_fuzzyset.py | 13 ++++++++----- 1 file changed, 8 insertions(+), 5 deletions(-) diff --git a/fuzzy_logic/gaussian_fuzzyset.py b/fuzzy_logic/gaussian_fuzzyset.py index e1b406d3c..b4eb4ec43 100644 --- a/fuzzy_logic/gaussian_fuzzyset.py +++ b/fuzzy_logic/gaussian_fuzzyset.py @@ -7,9 +7,11 @@ https://en.wikipedia.org/wiki/Membership_function_(mathematics) """ from __future__ import annotations + from dataclasses import dataclass -import numpy as np + import matplotlib.pyplot as plt +import numpy as np @dataclass @@ -19,10 +21,11 @@ class GaussianFuzzySet: Attributes: name: The name or label of the fuzzy set. - mean: The mean value (center) of the Gaussian fuzzy set. - std_dev: The standard deviation (controls the spread) of the Gaussian fuzzy set. - is_complement: Indicates whether this is the complement of the original fuzzy set. - + mean: The mean value (center) of the Gaussianfuzzy set. + std_dev: The standard deviation (controls the spread) of + the Gaussian fuzzy set. + is_complement: Indicates whether this is the complement + of the original fuzzy set. Methods: membership(x): Calculate the membership value of an input 'x' in the fuzzy set. complement(): Create a new GaussianFuzzySet instance representing the complement. From b4a3e412e76267795e26cda72559922a41011785 Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Wed, 30 Oct 2024 12:03:02 +0000 Subject: [PATCH 07/10] [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --- fuzzy_logic/gaussian_fuzzyset.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/fuzzy_logic/gaussian_fuzzyset.py b/fuzzy_logic/gaussian_fuzzyset.py index b4eb4ec43..69b542d33 100644 --- a/fuzzy_logic/gaussian_fuzzyset.py +++ b/fuzzy_logic/gaussian_fuzzyset.py @@ -22,9 +22,9 @@ class GaussianFuzzySet: Attributes: name: The name or label of the fuzzy set. mean: The mean value (center) of the Gaussianfuzzy set. - std_dev: The standard deviation (controls the spread) of + std_dev: The standard deviation (controls the spread) of the Gaussian fuzzy set. - is_complement: Indicates whether this is the complement + is_complement: Indicates whether this is the complement of the original fuzzy set. Methods: membership(x): Calculate the membership value of an input 'x' in the fuzzy set. From 4cdeb391c20ae73b2e34031eeb1803691901f229 Mon Sep 17 00:00:00 2001 From: Shreya <95279016+Shreya123714@users.noreply.github.com> Date: Wed, 30 Oct 2024 17:41:52 +0530 Subject: [PATCH 08/10] Update gaussian_fuzzyset.py --- fuzzy_logic/gaussian_fuzzyset.py | 14 ++++++++------ 1 file changed, 8 insertions(+), 6 deletions(-) diff --git a/fuzzy_logic/gaussian_fuzzyset.py b/fuzzy_logic/gaussian_fuzzyset.py index 69b542d33..55b1907bf 100644 --- a/fuzzy_logic/gaussian_fuzzyset.py +++ b/fuzzy_logic/gaussian_fuzzyset.py @@ -27,8 +27,10 @@ class GaussianFuzzySet: is_complement: Indicates whether this is the complement of the original fuzzy set. Methods: - membership(x): Calculate the membership value of an input 'x' in the fuzzy set. - complement(): Create a new GaussianFuzzySet instance representing the complement. + membership(member): Calculate the membership value of + an input 'member'in the fuzzy set. + complement(): Create a new GaussianFuzzySet instance representing + the complement. plot(): Plot the membership function of the fuzzy set. >>> fuzzy_set = GaussianFuzzySet("Medium Temperature", mean=25, std_dev=5) @@ -45,9 +47,9 @@ class GaussianFuzzySet: std_dev: float is_complement: bool = False # This flag indicates if it's the complement set - def membership(self, x: float) -> float: + def membership(self, member: float) -> float: """ - Calculate the membership value of an input 'x' in the Gaussian fuzzy set. + Calculate the membership value of an input 'member' in the Gaussian fuzzy set. If it's a complement set, returns 1 - the Gaussian membership. >>> GaussianFuzzySet("Medium", 0, 1).membership(0) @@ -56,7 +58,7 @@ class GaussianFuzzySet: 0.6065306597126334 """ - membership_value = np.exp(-0.5 * ((x - self.mean) / self.std_dev) ** 2) + membership_value = np.exp(-0.5 * ((member - self.mean) / self.std_dev) ** 2) # Directly return for non-complement or return 1 - membership for complement return membership_value if not self.is_complement else 1 - membership_value @@ -74,7 +76,7 @@ class GaussianFuzzySet: is_complement=not self.is_complement, ) - def plot(self): + def plot(self) -> None: """ Plot the membership function of the Gaussian fuzzy set. """ From 8735fb0e663ee080f49d4f8505df188d42b3a9b7 Mon Sep 17 00:00:00 2001 From: Shreya <95279016+Shreya123714@users.noreply.github.com> Date: Wed, 30 Oct 2024 17:47:21 +0530 Subject: [PATCH 09/10] Update gaussian_fuzzyset.py Fix membership method to return standard float type --- fuzzy_logic/gaussian_fuzzyset.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/fuzzy_logic/gaussian_fuzzyset.py b/fuzzy_logic/gaussian_fuzzyset.py index 55b1907bf..f27fd2675 100644 --- a/fuzzy_logic/gaussian_fuzzyset.py +++ b/fuzzy_logic/gaussian_fuzzyset.py @@ -60,7 +60,7 @@ class GaussianFuzzySet: membership_value = np.exp(-0.5 * ((member - self.mean) / self.std_dev) ** 2) # Directly return for non-complement or return 1 - membership for complement - return membership_value if not self.is_complement else 1 - membership_value + return float(membership_value) if not self.is_complement else 1 - float(membership_value) def complement(self) -> GaussianFuzzySet: """ From af4a64b125d7e33eb1631815ddfa92d294099be3 Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Wed, 30 Oct 2024 12:17:44 +0000 Subject: [PATCH 10/10] [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --- fuzzy_logic/gaussian_fuzzyset.py | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) diff --git a/fuzzy_logic/gaussian_fuzzyset.py b/fuzzy_logic/gaussian_fuzzyset.py index f27fd2675..30ea771a0 100644 --- a/fuzzy_logic/gaussian_fuzzyset.py +++ b/fuzzy_logic/gaussian_fuzzyset.py @@ -60,7 +60,11 @@ class GaussianFuzzySet: membership_value = np.exp(-0.5 * ((member - self.mean) / self.std_dev) ** 2) # Directly return for non-complement or return 1 - membership for complement - return float(membership_value) if not self.is_complement else 1 - float(membership_value) + return ( + float(membership_value) + if not self.is_complement + else 1 - float(membership_value) + ) def complement(self) -> GaussianFuzzySet: """