No, you cannot. Only your own mother/father, no 'in-laws', spouses and children only.
http://www.mom.gov.sg/passes-and-permit ... for-family
CHANGES TO DEPENDANT PRIVILEGES FOR WORK PASS HOLDERS
As part of periodic updating, MOM has reviewed the qualifying salary criteria for work
pass holders to sponsor dependants. This is to ensure that sponsors are able to
upkeep their dependants in Singapore.
From 1 September 2015:
Work pass holders need to meet a minimum fixed monthly salary of $5,000 to sponsor the stay of their spouse/ children here (on Dependant’s Pass).
Work pass holders need to meet a minimum fixed monthly salary of $10,000 to sponsor the stay of their parents here (on Long Term Visit Pass).
New Dependant’s Pass (DP) applications for spouse/children and Long Term Visit Pass (LTVP) applications for parents received before 1 September 2015 will be assessed on pre-1 September 2015 criteria.
Renewal of DPs/ LTVPs will also be based on pre-1 September 2015 criteria
provided the main pass holder remains with the same employer.
It's quite clear. Parents of the Work Pass holder, not parents of a Dependent Pass holder. Please don't assume it's a wrong interpretation because if you do, you will be in for a sad and expensive situation when your wife says screw you, I'm going back to India.