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Three-way decision-based conditional probabilities by opinion scores and Bayesian rules in circular-Pythagorean fuzzy sets for developing sustainable smart living framework
Date
2023-09-07
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Abstract
Sustainable smart living (SSL) is a crucial component in the emergence of smart cities. These cities
offer potential solutions to address pressing urban challenges, including traffic congestion, energy
consumption and environmental degradation. Recently, many SSL frameworks have been
developed based on multiple factors. However, no framework can simultaneously address all
these factors. Furthermore, no research has ranked and graded the identified SSL frameworks to
select the most sustainable framework. These are considered challenging tasks. To address these
challenges, three-way decisions (TWD) and multicriteria decision-making (MCDM) can serve as a
valuable solution for city planners and decision-makers. This study introduces TWD-based MCDM
as novel conditional probabilities by opinion scores (CPOS) within the context of circular-
Pythagorean fuzzy sets (C-PFSs), namely, C-PFSs-CPOS method, to estimate the conditional
probability of each alternative. Additionally, Bayesian decision theory within a C-PFS environ
ment is employed to construct the decision thresholds for each alternative. Furthermore, the
prioritisation of factors that impact the ranking and grading of SSL frameworks is achieved
through the application of the fuzzy-weighted zero-inconsistency (FWZIC) method within a C-PFS
environment, namely, C-PFS-FWZIC method. A total of 37 SSL frameworks (alternatives) are
evaluated on the basis of 19 assessment factors (criteria) distributed in 4 layers. Results show that
six alternatives exhibit a high level of sustainability, as evidenced by their position in the positive
region, whereas two alternatives consistently fall within the negative region for all σ values. At
σ=0.05, the remaining SSL framework alternatives are positioned within the boundary region.
When σ value increases to a range of 0.55–0.59, TWD is transformed into a two-way decision-