Another way

action.yml

@@ -24,12 +24,18 @@ inputs:
 outputs:
   ci-skip:
     description: 'The output ci-skip with the value true/false, default: false'
-    value: 'false'
+    value: ${{ steps.set-outputs-step.outputs.skip }}
   ci-skip-not:
     description: 'The output ci-skip-not with the value true/false, default: true'
-    value: 'true'
+    value: ${{ steps.set-outputs-step.outputs.skip-not }}
 runs:
   using: "composite"
   steps:
     - run: $GITHUB_ACTION_PATH/script.sh "${{ inputs.fail-fast }}" "${{ inputs.exit-code }}" "${{ inputs.commit-filter }}" "${{ inputs.commit-filter-separator }}"
       shell: bash
+    - id: set-outputs-step
+      run: |
+        echo "::set-output name=skip::${{ CI_SKIP }}"
+        echo "::set-output name=skip-not::${{ CI_SKIP_NOT }}"
+      shell: bash
+

script.sh

@@ -1,4 +1,3 @@
-set -x
 
 fail_fast=$1
 exit_code=$2
@@ -30,8 +29,8 @@ if [[ "$total_filter_count" -eq 0 ]]; then
   echo "CI_SKIP_NOT=true"
   echo "CI_SKIP=false" >> $GITHUB_ENV
   echo "CI_SKIP_NOT=true" >> $GITHUB_ENV
-  echo "::set-output name=ci-skip::false"
-  echo "::set-output name=ci-skip-not::true"
+#  echo "::set-output name=ci-skip::false"
+#  echo "::set-output name=ci-skip-not::true"
   echo "And continue..."
 else
   if [[ $fail_fast == 'true' ]]; then
@@ -44,8 +43,8 @@ else
     echo "CI_SKIP_NOT=false"
     echo "CI_SKIP=true" >> $GITHUB_ENV
     echo "CI_SKIP_NOT=false" >> $GITHUB_ENV
-    echo "::set-output name=ci-skip::true"
-    echo "::set-output name=ci-skip-not::false"
+#    echo "::set-output name=ci-skip::true"
+#    echo "::set-output name=ci-skip-not::false"
     echo "And continue..."
   fi
 fi