DISEASE CHARACTERISTICS: Hematologic malignancy, including acute myeloid or lymphoid leukemia of any FAB subtype, not in remission with chemotherapy or requiring bone marrow transplant OR Chronic myeloid leukemia, advanced beyond first chronic phase OR Myelodysplasia, including secondary to prior chemotherapy, with: Granulocyte count less than 500/mm3 OR Platelet count less than 50,000/mm3 OR High risk cytogenetic abnormalities such as +8, -7, -5, or 11q23 OR Intermediate or high grade lymphoma without response to initial therapy or in relapse OR Multiple myeloma without response to initial therapy or in relapse OR Stage IV low grade lymphoma or chronic lymphocytic leukemia not achieving remission with 2 regimens No aplastic anemia Related haploidentical donor (1-3 HLA-A, B, and/or DR mismatch) for collection of stem cells and whole blood T-cells required