This article aims to create a theoretical evaluation model based on decision support methods for the residential house construction materials and elements selection. The research and analyses of most of the scientists are invoked on individual elements and materials of the building, which have an impact on different aspects of sustainability. Meanwhile, the integrated model covering all the key elements and materials of the single-family residential house has not been implemented. Thus, the problem of development of the general composite model of the element and material selection of single-family buildings is acute in many countries around the world. Our study assessed the specific technical parameters related to building materials: cost, thermal bridging, and load-bearing capacity, the outer material selection according to localisation, environmental performance, durability, weight. SWARA (Step-wise Weight Assessment Ratio Analysis) approach is applied to decision making to calculate the relative importance of the criteria. A single-valued neutrosophic set governs the proposed new extension of MULTIMOORA (Multiobjective Optimisation by Ratio Analysis Plus Full Multiplicative Form) method and allows to deal explicitly with the indeterminacy of the initial information. Our proposed new theoretical composite model for selection of elements, materials and other aspects of sustainability can be practically applied in creating the decision support system for the selection of single-family house elements and materials.
Abstract. The paper deals with the location selection problem of the garage at the parcel of a single-family residential house. The mathematical model for this real life problem is constructed within MCDM framework. The significance of the chosen criteria was evaluated by AHP approach. The formulated MCDM problem is solved applying WASPAS extension, namely WASPAS-SVNS. The applied single-valued neutrosophic set allows to modeling uncertainty of the initial information explicitly. A numerical example is considered in order to verify the proposed approach.
The paper presents a novel approach to solve problem of stairs shape assessment for two-story individual dwelling houses. Selection among available shapes and construction of stairs is a multi-criteria decision-making problem in nature. It depends on a set of different conflicting criteria, that have different optimisation direction, different measurement units. There is determined the set of the main criteria to assess the alternatives is as follows: Stairwell Area, The Total Area of Climbing, “Climbing Lane” Area, The Cost of Stairs, and Ergonomics. A novel original hybrid MCDM (multi-criteria decision-making) model, which based on ten different multi-criteria decision-making methods: Game Theory, AHP, and SAW, Multiplicative Exponential Weighting, TOPSIS, and EDAS, ARAS, Full Multiplicative form, Laplace Rule, and Bayes Rule, is presented.
With this article we strive to create a theoretical valuation model based on multiple criteria mathematical methods by selecting a basic shape of single-family residential house‘s plan. Most of the researches and analysis discuss the interfaces of architectural shapes of the buildings with sustainability only in the buildings with unique design. Meanwhile, the model comprising a selection of a basic shape of the singlefamily house was not implemented. Our study evaluated the individual parameters associated with selection of the house shape: compactness, safety, material input, variability of premises and spaces. The SWARA (Step-Wise Weight Assessment Ratio Analysis) method is applied in the calculation of the relative importance of the criteria and the EDAS (The Method of Evaluation Based on Distance from Average Solution) method was used to prioritize the alternatives.
Data symmetry and asymmetry might cause difficulties in various areas including criteria weighting approaches. Preference elicitation is an integral part of the multicriteria decision-making process. Weighting approaches differ in terms of accuracy, ease of use, complexity, and theoretical foundations. When the opinions of the wider audience are needed, electronic surveys with the matrix questions consisting of the visual analogue scales (VAS) might be employed as the easily understandable data collection tool. The novel criteria weighting technique VASMA weighting (VAS Matrix for the criteria weighting) is presented in this paper. It respects the psychometric features of the VAS scales and analyzes the uncertainties caused by the survey-based preference elicitation. VASMA weighting integrates WASPAS-SVNS for the determination of the subjective weights and Shannon entropy for the calculation of the objective weights. Numerical example analyzing the importance of the criteria that affect parents’ decisions regarding the choice of the kindergarten institution was performed as the practical application. Comparison of the VASMA weighting and the direct rating (DR) methodologies was done. It revealed that VASMA weighting is able to overcome the main disadvantages of the DR technique—the high biases of the collected data and the low variation of the criteria weights.
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