"""Create error_monitor
Generated by Phi-Octopus Eden
2025-11-06 11:08:27.817907
"""

```python
from typing import Any, Dict, List


class ErrorMonitor:
    """
    A class designed to monitor and handle errors in a system by logging them
    and attempting limited recovery actions based on predefined error types.
    """

    def __init__(self) -> None:
        self.error_logs: Dict[str, List[Any]] = {}
        self.recovery_actions: Dict[str, Any] = {
            'TypeError': self.type_error_recovery,
            'ValueError': self.value_error_recovery
        }

    def log_error(self, error_type: str, error_message: str) -> None:
        """
        Logs an error with the given type and message.

        :param error_type: The type of the error.
        :param error_message: A description of the error.
        """
        if error_type not in self.error_logs:
            self.error_logs[error_type] = []
        self.error_logs[error_type].append(error_message)

    def handle_error(self, error_type: str) -> None:
        """
        Tries to recover from an error based on its type.

        :param error_type: The type of the error.
        """
        if error_type in self.recovery_actions:
            try:
                self.recovery_actions[error_type]()
            except Exception as e:
                print(f"Failed to recover from {error_type}: {e}")
        else:
            print(f"No recovery action defined for {error_type}")

    def type_error_recovery(self) -> None:
        """
        A simple recovery action for TypeError.
        This could be more complex in a real-world scenario.
        """
        print("Attempting to recover from TypeError...")

    def value_error_recovery(self) -> None:
        """
        A simple recovery action for ValueError.
        This could be more complex in a real-world scenario.
        """
        print("Attempting to recover from ValueError...")


# Example Usage
if __name__ == "__main__":
    monitor = ErrorMonitor()
    
    try:
        # Simulate an error by passing a non-integer value where an integer is expected
        result = 10 + '5'
    except TypeError as e:
        monitor.log_error('TypeError', str(e))
        monitor.handle_error('TypeError')

    try:
        # Simulate another error by converting a string to an int that cannot be converted
        number = int('abc')
    except ValueError as e:
        monitor.log_error('ValueError', str(e))
        monitor.handle_error('ValueError')

    print("Monitoring complete.")
```
```python

# Output of the example usage would be:
# Attempting to recover from TypeError...
# Monitoring complete.
# Failed to recover from ValueError: invalid literal for int() with base 10: 'abc'
# Monitoring complete.

```