Help to understand fuzzy score

Elastic Stack Elasticsearch
1

Given the following search:

{
  "size": 100,
  "query": {
    "bool": {
      "must": [
        {
          "match": {
            "business_names": {
              "query": "my company",
              "operator": "and",
              "fuzziness": "auto"
            }
          }
        }
      ]
    }
  }
}

I see results like MY LITTLE COMPANY with a higher score than documents that match the input exactly.

How can I formulate the query so that results that match the input exactly are at the top of the results?

One Idea is to create another query that matches exactly with a boost, but why that is needed?

2

You can create a bool query with 2 should clauses. One with a fuzzy search. Another one without.

As the second will match when texts are identical, the score will be higher.

An example of this here: