When using MDBSelect without any action it looks like this as expected:

When Using an action, the visuals indicating active Items break. Not showing any (but still working properly, except you can only select 1 Item or all Items).

Sorry for the bad Image quality, i had to crop the real Data...

Things i tried so far: remove all changing global state from within the component. Using this.state for options, using function together with global state to generate options. Passing static options as props, using static options in this.state, prevent the component from rerendering. So i am running out of ideas.

import React from 'react';
import {
  MDBSelect,
} from 'mdbreact';

import _ from 'lodash';

class FileViewerListFilter extends React.Component {

  _mapEnums(enums) {
    const result = [];

    _.forEach(enums,
      (value, key) => {
        result.push(
          {
            text: value,
            value: key + 1,
          }
        );
      });

    return result;
  }

  constructor(props) {
    super(props);
    this.state = {
      dataSheetType: this._mapEnums(props.dataSheetType),
    };
  }

  _changeHandler() {
    const { filterValue, dataSheetType } = this.props;
    let result = '';
    if (!_.isEmpty(filterValue.Type)) {
      _.forEach(filterValue.Type,
        (e) => {
          result += `${dataSheetType[e - 1]}, `;
        });
    }
    return result;
  }

  render() {
    const { actions } = this.props;

    return (
      <form className="mb-4">
        <div className="row">
          <div className="col-12 col-sm-6 col-md-4 col-lg-3">
            <div>
              <MDBSelect
                multiple
                label="Typ"
                options={this.state.dataSheetType}
                selectAll
                //Workaround, showing the selected item as Text but not as marked Item
                //Returns a string: "Item1, Item2, ..."
                selected={this._changeHandler()}
                //When getValue calls a redux action, the visuals break. Does not change BEhaviour with or without selected
                getValue={
                  (e) => {
                    actions.setFilterValue(
                      {
                        Type: e
                      }
                    );
                  }
                }
              />
            </div>
          </div>              
        </div>
      </form>
    );
  }
}

FileViewerListFilter.defaultProps = {};

export default FileViewerListFilter;

Greetings Denis