The main purpose of this study is to develop a way of solving multiattribute decision‐making problems (MADM), where the value of an attribute appears as picture hesitant fuzzy number and the attribute weight information is not entirely known. So as to acquire attribute weight vector, we build up a model of optimization that relies on the basic ideal of the conventional grey relational analysis method, by which attribute weight can be resolved. We build up another model of optimization for the uncommon circumstance where the attribute weight information is totally unknown. By solving this model, we get a basic and definite equation which can be utilized to be determined attribute weight. The grey relation degree between each alternative and positive ideal solution (PIS) and negative ideal solution (NIS) are determined. At the same time, a degree of relative relational is defined to decide all alternative order of ranking by ascertaining the grey relation degree to both the PIS and NIS. To examine the produced approach and to show its effectiveness and applicability an illustrative examples are given. A comparative analysis with pre‐existing MADM methods are considered to show the predominance of the proposed strategy.

Background: iron deficiency anemia exists as a global norm especially in developing nations that face endemic conditions of malaria and typhoid infections. The infections lead to anemia development by three mechanisms: iron sequestration during inflammation, losses from the gastrointestinal system, and hemolysis. The assessment of these infection-linkages holds essential importance for patient care improvement. Outcomes. Objectives: To find the iron deficiency anemia in malarial and typhoid patients while investigating blood data similarities and differences between these patient groups. Methodology: 150 patients who received diagnoses of malaria or typhoid were sampled through a non-probability method. The clinical diagnosis of malaria used peripheral smear/rapid diagnostic tests together with the blood culture/Widal test for typhoid diagnosis. The study team analyzed four key blood tests consisting of hemoglobin combined with serum iron and ferritin and MCV. The p-values below 0.05 indicated statistical significance through SPSS version 20.0 processing. Results: Mean age 31.4 ± 12.6 years. Study revealed iron deficiency anemia occurred in 61.3% of patients while the malaria group presented this condition at a higher rate (67.1%) than the typhoid group (54.7%) (p = 0.041). Malaria was diagnosed in 82 patients among 50 selected patients alongside 68 patients receiving the typhoid fever diagnosis. The study participants had The serum ferritin mean levels for malaria patients measured 9.8 ± 3.2 ng/mL but typhoid patients showed 15.2 ± 4.7 ng/mL which was statistically different (p < 0.01). Conclusion: IDA is more common among patients with chronic infections but people with malaria develop IDA more frequently than typhoid patients. Immediate diagnosis and comprehensive treatment programs that include iron supplementation would prevent morbidity because of anemia while also improving patient outcomes.