Material selection is a rapidly growing multi-criteria decision-making (MCDM) problem owing to the large number of factors affecting decision making. The right choice of available material is critical to the success and competitiveness of the manufacturing organisation. The analytical hierarchy process (AHP) is a tool designed to solve MCDM problems. The AHP was applied to select a material for a simple product (a key) utilising Expert Choice™ software. Confidence in the output is found to be high owing to the low inconsistency of the decision maker's judgement. Sensitivity analysis was performed to increase the confidence in the choice of material.

This paper establishes a vigorous methodology, based on the fuzzy set theory, to improve the facilities layout process that has occupied scholars and practitioners for more than four decades. Fuzzy set theory is an appropriate tool which uses the natural language that humans use to control complex systems such as facilities planning. The closeness rating between departments in a plant depends on qualitative and quantitative factors. Some of these factors may have greater effect on the designer's decisions about such ratings. Thus, the pairwise comparison of the analytical hierarchy process (AHP), which ensures the consistency of the designers’ decisions when assigning the importance of one factor over another, is used to find the weights of these factors. FUZZY, a computer program developed based on the fuzzy decision-making system (FDMS) is used to generate the activity relationship charts. These charts are used by FZYCRLP, a modified version of CORELAP, to develop the layouts. FELAP, another program based on FDMS is used to evaluate the layouts. The new evaluation method uses the distances and the relationships between departments to score the layout. The scoring system, which ranges from zero to ten (ten is the best possible score), can be used to evaluate and compare any layout regardless of the number of the departments and their size.

Increased phosphate concentration in water bodies has led to eutrophication, and its removal is an inevitable requirement of sustainable wastewater purification systems. In this study, MgAl layered doubled hydroxide (LDH) composites doped on the surface of activated carbon (AC/MgAl LDH) with various (Mg + Al) total metal loading (5 wt%, 10 wt%, and 15 wt%) were prepared by the co-precipitation method. The influence of (Mg + Al) total metal loading onto AC was examined to remove phosphate ions from aqueous solutions. The effect of adsorption parameters, including adsorbent dosage, initial solution pH, initial phosphate concentration, contact time, and experiment temperature, were investigated via batch adsorption experiments. The adsorption results demonstrated that the phosphate adsorption capacity significantly improved with increasing the (Mg + Al) metal loading on the surface of AC. The maximum Langmuir phosphate adsorption capacity was 337.2 mg phosphate per gram of AC/MgAl-3 LDH composite (15 wt% Mg + Al) composite at pH ~6.3, 22 °C, and 1 g/L of adsorbent. The kinetic data were best fitted with the pseudo-second order model. The initial solution pH notably influenced the phosphate removal by AC/MgAl-3 LDH composite with a maximum removal at pH 2.3. According to the spent adsorbent characterization results, the dominant mechanisms of phosphate removal by AC/MgAl-3 LDH were electrostatic interactions, ion exchange, and inner-sphere complexation. The phosphate adsorption capacity was gradually increased with increasing the experiment temperature, suggesting an endothermic adsorption process. Overall, the AC/MgAl LDH composites pave the way for an effective strategy for phosphate removal from aqueous solutions.