Procentual proximity scoring algorithm implemented (TheAlgorithms#2280)

* Procentual proximity scoring algorithm implemented

- added requested changes
- passed doctest

- passed flake8 test

* Apply suggestions from code review

Co-authored-by: Christian Clauss <[email protected]>

* Function rename

Co-authored-by: Christian Clauss <[email protected]>

Author: 2 people

Diff for: other/scoring_algorithm.py

@@ -0,0 +1,89 @@
+'''
+developed by: markmelnic
+original repo: https://github.com/markmelnic/Scoring-Algorithm
+
+Analyse data using a range based percentual proximity algorithm
+and calculate the linear maximum likelihood estimation.
+The basic principle is that all values supplied will be broken
+down to a range from 0 to 1 and each column's score will be added
+up to get the total score.
+
+==========
+Example for data of vehicles
+price|mileage|registration_year
+20k  |60k    |2012
+22k  |50k    |2011
+23k  |90k    |2015
+16k  |210k   |2010
+
+We want the vehicle with the lowest price,
+lowest mileage but newest registration year.
+Thus the weights for each column are as follows:
+[0, 0, 1]
+
+>>> procentual_proximity([[20, 60, 2012],[23, 90, 2015],[22, 50, 2011]], [0, 0, 1])
+[[20, 60, 2012, 2.0], [23, 90, 2015, 1.0], [22, 50, 2011, 1.3333333333333335]]
+'''
+
+
+def procentual_proximity(source_data : list, weights : list) -> list:
+
+    '''
+    weights - int list
+    possible values - 0 / 1
+    0 if lower values have higher weight in the data set
+    1 if higher values have higher weight in the data set
+    '''
+
+    # getting data
+    data_lists = []
+    for item in source_data:
+        for i in range(len(item)):
+            try:
+                data_lists[i].append(float(item[i]))
+            except IndexError:
+                # generate corresponding number of lists
+                data_lists.append([])
+                data_lists[i].append(float(item[i]))
+
+    score_lists = []
+    # calculating each score
+    for dlist, weight in zip(data_lists, weights):
+        mind = min(dlist)
+        maxd = max(dlist)
+
+        score = []
+        # for weight 0 score is 1 - actual score
+        if weight == 0:
+            for item in dlist:
+                try:
+                    score.append(1 - ((item - mind) / (maxd - mind)))
+                except ZeroDivisionError:
+                    score.append(1)
+
+        elif weight == 1:
+            for item in dlist:
+                try:
+                    score.append((item - mind) / (maxd - mind))
+                except ZeroDivisionError:
+                    score.append(0)
+
+        # weight not 0 or 1
+        else:
+            raise ValueError("Invalid weight of %f provided" % (weight))
+
+        score_lists.append(score)
+
+    # initialize final scores
+    final_scores = [0 for i in range(len(score_lists[0]))]
+
+    # generate final scores
+    for i, slist in enumerate(score_lists):
+        for j, ele in enumerate(slist):
+            final_scores[j] = final_scores[j] + ele
+
+    # append scores to source data
+    for i, ele in enumerate(final_scores):
+        source_data[i].append(ele)
+
+    return source_data