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You can query the status of the fuzzy search index and the fuzzy search mode from the system view
TABLE_COLUMNS.
SELECT column_name, data_type_name, fuzzy_search_index, fuzzy_search_mode
FROM table_columns
WHERE table_name = 'TAB';
Example
CREATE COLUMN TABLE postcodes
(
postcode NVARCHAR(50) FUZZY SEARCH INDEX ON FUZZY SEARCH MODE 'postcode'
);
INSERT INTO postcodes VALUES ('71691');
INSERT INTO postcodes VALUES ('81691');
INSERT INTO postcodes VALUES ('72691');
INSERT INTO postcodes VALUES ('71692');
INSERT INTO postcodes VALUES ('716 91');
INSERT INTO postcodes VALUES ('A1H 2ZU');
INSERT INTO postcodes VALUES ('A1H2ZU');
INSERT INTO postcodes VALUES ('D-71691');
INSERT INTO postcodes VALUES ('D-71692');
INSERT INTO postcodes VALUES ('A-71691');
INSERT INTO postcodes VALUES ('A-71692');
INSERT INTO postcodes VALUES ('DE-71 691');
INSERT INTO postcodes VALUES ('D 71691');
INSERT INTO postcodes VALUES ('GB-A1H 2ZU');
INSERT INTO postcodes VALUES ('XX-12345');
INSERT INTO postcodes VALUES ('D-12345');
INSERT INTO postcodes VALUES ('71234');
SELECT TO_DECIMAL(SCORE(),3,2), *
FROM postcodes
WHERE CONTAINS(postcode, '71691', FUZZY(0.5, 'spellCheckFactor=1.0'))
ORDER BY SCORE() DESC;
SELECT TO_DECIMAL(SCORE(),3,2), *
FROM postcodes
WHERE CONTAINS(postcode, 'D-71691', FUZZY(0.5, 'spellCheckFactor=1.0'))
ORDER BY SCORE() DESC;
SELECT TO_DECIMAL(SCORE(),3,2), *
FROM postcodes
WHERE CONTAINS(postcode, 'Gb-a1h2zu', FUZZY(0.5, 'spellCheckFactor=1.0'))
ORDER BY SCORE() DESC;
SELECT TO_DECIMAL(SCORE(),3,2), *
FROM postcodes
WHERE CONTAINS(postcode, 'YY-12345', FUZZY(0.5, 'spellCheckFactor=1.0'))
ORDER BY SCORE() DESC;
SELECT TO_DECIMAL(SCORE(),3,2), *FROM postcodes
WHERE CONTAINS(postcode, '71', FUZZY(0.5, 'spellCheckFactor=1.0'))
ORDER BY SCORE() DESC;
SELECT TO_DECIMAL(SCORE(),3,2), *
FROM postcodes
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SAP HANA Developer Guide
Enabling Search