除计算距离外如何测量2个字符串的相似度

Question

我正在创建一个程序来检查单词是否是简化单词(txt,msg等),如果它被简化,它会找到正确的拼写,如txt = text,msg = message.我在c#中使用了NHunspell建议方法,它提出了所有可能的结果.

问题是如果我输入"txt"结果是text,tat,tot等我不知道如何选择正确的单词.我使用Levenshtein Distance(C# - 比较字符串相似性)但结果仍然是1.

输入:txt结果:text = 1,ext = 1 tit = 1

你能帮我解释如何获得简化单词的含义或拼写正确吗？示例:msg

Answer 1

我用你的样本数据测试了你的输入,只有text25的距离,而另一个的距离是33.这是我的代码:

string input = "TXT";
string[] words = new[]{"text","tat","tot"};
var levenshtein = new Levenshtein();  
const int maxDistance = 30;

var distanceGroups = words
        .Select(w => new
        {
            Word = w,
            Distance = levenshtein.iLD(w.ToUpperInvariant(), input)
        })
        .Where(x => x.Distance <= maxDistance)
        .GroupBy(x => x.Distance)
        .OrderBy(g => g.Key)
        .ToList();
foreach (var topCandidate in distanceGroups.First())
    Console.WriteLine("Word:{0} Distance:{1}", topCandidate.Word, topCandidate.Distance);

这是levenshtein类:

public class Levenshtein
{
    ///*****************************
    /// Compute Levenshtein distance 
    /// Memory efficient version
    ///*****************************
    public int iLD(String sRow, String sCol)
    {
        int RowLen = sRow.Length;  // length of sRow
        int ColLen = sCol.Length;  // length of sCol
        int RowIdx;                // iterates through sRow
        int ColIdx;                // iterates through sCol
        char Row_i;                // ith character of sRow
        char Col_j;                // jth character of sCol
        int cost;                   // cost

        /// Test string length
        if (Math.Max(sRow.Length, sCol.Length) > Math.Pow(2, 31))
            throw (new Exception("\nMaximum string length in Levenshtein.iLD is " + Math.Pow(2, 31) + ".\nYours is " + Math.Max(sRow.Length, sCol.Length) + "."));

        // Step 1

        if (RowLen == 0)
        {
            return ColLen;
        }

        if (ColLen == 0)
        {
            return RowLen;
        }

        /// Create the two vectors
        int[] v0 = new int[RowLen + 1];
        int[] v1 = new int[RowLen + 1];
        int[] vTmp;



        /// Step 2
        /// Initialize the first vector
        for (RowIdx = 1; RowIdx <= RowLen; RowIdx++)
        {
            v0[RowIdx] = RowIdx;
        }

        // Step 3

        /// Fore each column
        for (ColIdx = 1; ColIdx <= ColLen; ColIdx++)
        {
            /// Set the 0'th element to the column number
            v1[0] = ColIdx;

            Col_j = sCol[ColIdx - 1];


            // Step 4

            /// Fore each row
            for (RowIdx = 1; RowIdx <= RowLen; RowIdx++)
            {
                Row_i = sRow[RowIdx - 1];


                // Step 5

                if (Row_i == Col_j)
                {
                    cost = 0;
                }
                else
                {
                    cost = 1;
                }

                // Step 6

                /// Find minimum
                int m_min = v0[RowIdx] + 1;
                int b = v1[RowIdx - 1] + 1;
                int c = v0[RowIdx - 1] + cost;

                if (b < m_min)
                {
                    m_min = b;
                }
                if (c < m_min)
                {
                    m_min = c;
                }

                v1[RowIdx] = m_min;
            }

            /// Swap the vectors
            vTmp = v0;
            v0 = v1;
            v1 = vTmp;

        }

        // Step 7

        /// Value between 0 - 100
        /// 0==perfect match 100==totaly different
        /// 
        /// The vectors where swaped one last time at the end of the last loop,
        /// that is why the result is now in v0 rather than in v1
        //System.Console.WriteLine("iDist=" + v0[RowLen]);
        int max = System.Math.Max(RowLen, ColLen);
        return ((100 * v0[RowLen]) / max);
    }


    ///*****************************
    /// Compute the min
    ///*****************************

    private int Minimum(int a, int b, int c)
    {
        int mi = a;

        if (b < mi)
        {
            mi = b;
        }
        if (c < mi)
        {
            mi = c;
        }

        return mi;
    }

    ///*****************************
    /// Compute Levenshtein distance         
    ///*****************************
    public int LD(String sNew, String sOld)
    {
        int[,] matrix;              // matrix
        int sNewLen = sNew.Length;  // length of sNew
        int sOldLen = sOld.Length;  // length of sOld
        int sNewIdx; // iterates through sNew
        int sOldIdx; // iterates through sOld
        char sNew_i; // ith character of sNew
        char sOld_j; // jth character of sOld
        int cost; // cost

        /// Test string length
        if (Math.Max(sNew.Length, sOld.Length) > Math.Pow(2, 31))
            throw (new Exception("\nMaximum string length in Levenshtein.LD is " + Math.Pow(2, 31) + ".\nYours is " + Math.Max(sNew.Length, sOld.Length) + "."));

        // Step 1

        if (sNewLen == 0)
        {
            return sOldLen;
        }

        if (sOldLen == 0)
        {
            return sNewLen;
        }

        matrix = new int[sNewLen + 1, sOldLen + 1];

        // Step 2

        for (sNewIdx = 0; sNewIdx <= sNewLen; sNewIdx++)
        {
            matrix[sNewIdx, 0] = sNewIdx;
        }

        for (sOldIdx = 0; sOldIdx <= sOldLen; sOldIdx++)
        {
            matrix[0, sOldIdx] = sOldIdx;
        }

        // Step 3

        for (sNewIdx = 1; sNewIdx <= sNewLen; sNewIdx++)
        {
            sNew_i = sNew[sNewIdx - 1];

            // Step 4

            for (sOldIdx = 1; sOldIdx <= sOldLen; sOldIdx++)
            {
                sOld_j = sOld[sOldIdx - 1];

                // Step 5

                if (sNew_i == sOld_j)
                {
                    cost = 0;
                }
                else
                {
                    cost = 1;
                }

                // Step 6

                matrix[sNewIdx, sOldIdx] = Minimum(matrix[sNewIdx - 1, sOldIdx] + 1, matrix[sNewIdx, sOldIdx - 1] + 1, matrix[sNewIdx - 1, sOldIdx - 1] + cost);

            }
        }

        // Step 7

        /// Value between 0 - 100
        /// 0==perfect match 100==totaly different
        //System.Console.WriteLine("Dist=" + matrix[sNewLen, sOldLen]);
        int max = System.Math.Max(sNewLen, sOldLen);
        return (100 * matrix[sNewLen, sOldLen]) / max;
    }
}