Criteria Assessment in Sustainable Macromanagement of Housing Provision Problem by a Multi-phase Decision Approach with DEMATEL and Dynamic Uncertainty

Macromanagement of housing provision based on sustainable development characteristics may be required for applying some different strategies to ensure the housing preparation regarding economic, environmental, and social competencies. In this regard, there are some challenges, including defining the criteria in a hierarchical structure to check the problem in all aspects, computing experts’ weights for reducing judgments’ errors, computing interdependencies effects among criteria to increase the precise of criteria weight determination, dynamic criteria’ weights evaluation to analyze the criteria importance in some different periods, and uncertainty modeling of criteria weights computations in the research area, in which recent studies did not focus them simultaneously. To address the issue, this study proposes a multi-phase weighting approach by combining the collective index and decision-making trial and evaluation laboratory (DEMATEL) methodologies via dynamic interval-valued hesitant fuzzy sets (DIVHFSs) theory. Considering dynamic uncertainty is needed for covering the incomplete information in various periods because the significance and impact of evaluation criteria may be changed in each period. On the other hand, DIVHFSs theory could assist the experts by assigning some dynamic interval-valued hesitant fuzzy (DIVHF)-membership degrees for an element under a set to decrease the errors. In proposed DIVHF-collective index method, criteria local weights are obtained based on correlation and standard deviation approaches under a DIVHF-environment. In addition, the extended DEMATEL methodology is prepared for taking account of hierarchical structure and criteria interdependencies relations. Moreover, a novel DIVHF-utility degree method is presented to compute the weight of each expert. Then, experts’ weights are taken into account in the presented multi-phase weighting approach. In addition, the DIVHF-multi-phase weighting approach based on collective index and DEMATEL (DIVHF-MPW-CI–DEMATEL) methodologies is proposed via a last aggregation approach to keep away from the data loss. Meanwhile, some needed operations on DIVHFS theory for presenting DIVHF-MPW-CI–DEMATEL methodology are extended. Finally, a real case study about the determining criteria’ weights for strategy selection in macromanagement of housing provision problem based on sustainable development properties is prepared to indicate the feasibility and applicability of proposed DIVHF-MPW-CI–DEMATELs approach.