| Literature DB >> 36056282 |
Dilber Baskak1, Sumeyye Ozbey1, Melih Yucesan1, Muhammet Gul2.
Abstract
The fight against the COVID-19 pandemic, which has affected the whole world in recent years and has had devastating effects on all segments of society, has been one of the most important priorities. The Turkish Standards Institution has determined a checklist to contribute to developing safe and clean environments in higher education institutions in Turkey and to follow-up on infection control measures. However, this study is only a checklist that makes it necessary for decision-makers to make a subjective evaluation during the evaluation process, while the need to develop a more effective, systematic framework that takes into account the importance levels of multiple criteria has emerged. Therefore, this study applies the best-worst method under interval type-2 fuzzy set concept (IT2F-BWM) to determine the importance levels of criteria affecting the "COVID-19 safe campus" evaluation of universities in the context of global pandemic. A three-level hierarchy consisting of three main criteria, 11 sub-criteria, and 58 sub-criteria has been created for this aim. Considering the hierarchy, the most important sub-criterion was determined as periodic disinfection. The high contribution of the interval-valued type-2 fuzzy sets in expressing the uncertainty in the decision-makers' evaluations and the fact that BWM provides criterion weights with a mathematical optimization model that produces less pairwise comparisons and higher consistency are the main factors in choosing this approach. Simple additive weighting (SAW) has also been injected into the IT2F-BWM to determine the safety level of any university campus regarding COVID-19. Thus, decision-makers will be better prepared for the devastating effects of the pandemic by first improving the factors that are relatively important in the fight against the pandemic. In addition, a threshold value will be determined by considering all criteria, and it will prepare the ground for a road map for campuses. A case study is employed to apply the proposed model, and a comparison study is also presented with the Bayesian BWM to validate the results of the criteria weights.Entities:
Keywords: Best-worst method; COVID-19; Interval type-2 fuzzy set; Safe campus
Year: 2022 PMID: 36056282 PMCID: PMC9438885 DOI: 10.1007/s11356-022-22796-1
Source DB: PubMed Journal: Environ Sci Pollut Res Int ISSN: 0944-1344 Impact factor: 5.190
Previous studies regarding IT2F-BWM
| Study | Application area/case | Combined methods/approach | Novelty (case-based or method-based?) |
|---|---|---|---|
| Wu et al. ( | Green supplier selection | VIKOR | To better reflect the ambiguity, BWM has been extended using IT2FS |
| Pishdar et al. ( | Aviation industry | Measuring Attractiveness by a Categorical Based Evaluation Technique (MACBETH) | A key performance list was determined, and weighted with IT2FBWM. Nineteen airports were listed in the scope of the hub with the MACBETH method |
| Qin and Liu ( | Movie industry | MULTICOMORA | The IT2FBWM-MULTICOMORA approach, aimed to verify the effectiveness of personalized movie recommendations |
| Liu et al. ( | Numerical example | NA | Inspired by the AHP sort and BWM methods, the BWM sort method has been proposed in the type-2 fuzzy sets environment to cluster the alternatives, and the effectiveness of the proposed method is shown in an example |
| Gölcük ( | Risk assessment | Perceptual reasoning | IT2FBWM and perceptual reasoning were used to evaluate the risks in digital transformation projects |
| Wan et al. ( | Multi-criteria group decision | VIKOR | Pairwise comparisons were carried out with a type-2 interval fuzzy set. BWM, proposed by Rezaei ( |
| Gölcük ( | Risk assessment | Fuzzy inference system, Aggregated sum product assessment (WASPAS) | To avoid the limitations of classical FMEA, type-2 fuzzy BWM-WASPAS and fuzzy inference system are used together |
| Gong et al. ( | Renewable energy | Attribute system, MARCOS | The attribute system was designed, the weights of the attributes were determined with the IT2FBWM, and the rankings were determined in light of the MARCOS method |
| Tang et al. ( | Risk assessment | TODIM | Risk parameters for ballast tank maintenance are weighted with type-2 fuzzy BWM. Then the hazards were prioritized with the TODIM method |
| Celik et al. ( | Supplier selection | TODIM | The GSS problem is structured as an MCDM problem. The importance of the parameters affecting the supply selection was determined by type-2 fuzzy BWM. The best supplier was determined under these conditions with type-2 fuzzy TODIM |
| Komatina et al. ( | Risk assessment | NA | Process failure mode and effect analysis (PFMEA) extends with quality and cost criteria. Verbal expressions evaluating risk factors were modeled with the help of type-2 fuzzy numbers. The priorities of failures were determined with IT2FBWM |
| Hoseini et al. ( | Supplier selection | TOPSIS | For the evaluation of potential suppliers in Iranian construction industry, criterion weights were determined with IT2FBWM and supplier evaluation with type-2 fuzzy TOPSIS |
| Norouzia and Hajiagha ( | Numerical example | NA | The method is proposed by combining BWM hesitant and interval type-2 fuzzy sets. A numerical example is given to demonstrate the effectiveness of the proposed method |
| Celik and Gul ( | Risk assessment | MARCOS | Risk weights are weighted with IT2FBWM and hazards are prioritized with MARCOS |
| Chen et al. ( | Hospital selection | Data envelopment analysis (DEA) | This study was carried out in the TrIT2F environment, which will combine BWM and DEA, and select the reasonable sites of makeshift hospitals |
Fig. 1Criteria hierarchy of “COVID-19 safe campus” assessment
Main and sub-criteria descriptions with their sources
| Main criteria | Sub-criteria | Explanation | References |
|---|---|---|---|
| Case management | Case management is the prevention of the spread of the disease and the rapid detection and isolation of definitive cases | Poole et al. ( | |
| Decontamination | It includes all the processes (cleaning, disinfection, and sterilization) performed to make an object, surface, or area free of microorganisms and safe | Greenhalgh et al. ( | |
| Reducing touch | It means limiting the use of common materials, preventing contact as much as possible to reduce the virus’s spread, and ensuring the disinfection of common materials at frequent intervals. It also includes measures to reduce the number of people in the environment and to use personal protective equipment | McGee et al. ( | |
| Social distance | In order to prevent the spread of the disease, it means taking measures such as keeping the number of patients at a level that will not force the health system, making capacity plans, restricting mobility, providing different entrance and exit doors, and not speaking loudly in the environment | Poole et al. ( | |
| Training plans | It covers the education plans for the personnel of higher education institutions, students, and visitors | Lordan et al. ( | |
| Emergency action plan | It covers the plans made to be able to organize immediately, intervene regularly, ensure that the institution remains operational, and minimize the damages that may arise in case of a diagnosis and/or suspicion of contagious disease among staff and students | Izumi et al. ( | |
| Infection and control plans | It covers the necessary arrangements and plans to minimize the risk of people encountering the virus | Poole et al. ( | |
| Cleaning plans | It covers the correct use of cleaning materials and the creation of cleaning and disinfection plans. This plan includes plans for the determination of all kinds of measures to minimize the harmful effects of biocidal and other related products to be used for cleaning and disinfection on humans, nature, and other living things, the usage characteristics of the products, the hazard classes, and the correct usage methods | Chen and O’Keeffe ( | |
| Risk assessment | Risk assessment refers to the work that needs to be done in order to identify the hazards that exist in the workplace, analyze and rank the factors that cause these hazards to turn into risks, and decide on control measures | Lordan et al. ( | |
| Audit and organization | It is necessary to monitor and control whether the occupational health and safety measures taken in the workplace are followed and to ensure that nonconformities are eliminated. For this purpose, it covers the process of forming teams, determining their duties, and supporting them with feedback and recording mechanisms | Byrne et al. ( | |
| Waste management | It refers to ensuring management without harming the environment and health during the collection and disposal of waste | Betancourt et al. ( |
The IT2F linguistic scale
| Linguistic variable | Corresponding IT2F numbers |
|---|---|
| EMI | ((8;9;9;10;1;1), (8.5;9;9;9.5;0.9;0.9)) |
| IV between EMI and VSMI | ((7;8;8;9;1;1), (7.5;8;8;8.5;0.9;0.9)) |
| VSMI | ((6;7;7;8;1;1), (6.5;7;7;7.5;0.9;0.9)) |
| IV between VSMI and SMI | ((5;6;6;7;1;1), (5.5;6;6;6.5;0.9;0.9)) |
| SMI | ((4;5;5;6;1;1), (4.5;5;5;5.5;0.9;0.9)) |
| IV between SMI and MMI | ((3;4;4;5;1;1), (3.5;4;4;4.5;0.9;0.9)) |
| MMI | ((2;3;3;4;1;1), (2.5;3;3;3.5;0.9;0.9)) |
| IV between MMI and EI | ((1;2;2;3;1;1), (1.5;2;2;2.5;0.9;0.9)) |
| EI | ((1;1;1;1;1;1), (1;1;1;1;0.9;0.9)) |
CI values in terms of linguistic term
| Linguistic term | Defuzzified value of the linguistic term | CI |
|---|---|---|
| EI | 0.975 | 2.9582 |
| IV between MMI and EI | 1.95 | 4.4872 |
| MMI | 2.925 | 5.8948 |
| IV between SMI and MMI | 3.9 | 7.2373 |
| SMI | 4.875 | 8.5373 |
| IV between VSMI and SMI | 5.85 | 9.8069 |
| VSMI | 6.825 | 11.0533 |
| IV between EMI and VSMI | 7.8 | 12.2812 |
| EMI | 8.775 | 13.494 |
Local and global weights of main, sub-, and sub-sub-criteria in the hierarchy
Fig. 2Final weights of criteria (averaged and globalized). Note: Please refer to Fig. 1for criteria definitions
CR (consistency ratio) values of all evaluation matrices in the study
| Matrix on | CR value | |||||
|---|---|---|---|---|---|---|
| Expert #1 | Expert #2 | Expert #3 | Expert #4 | Expert #5 | Expert #6 | |
| A–B–C | 0.0172 | 0.0232 | 0.0147 | 0.0348 | 0.0146 | 0.0663 |
| A1–A4 | 0.0120 | 0.0235 | 0.0414 | 0.0219 | 0.0219 | 0.0182 |
| B1–B4 | 0.0090 | 0.0181 | 0.0225 | 0.0182 | 0.0057 | 0.0182 |
| C1–C3 | 0.0249 | 0.0143 | 0.0249 | 0.0202 | 0.0076 | 0.0249 |
| A1.1–A1.7 | 0.0058 | 0.0114 | 0.0100 | 0.0085 | 0.0074 | 0.0100 |
| A2.1–A2.4 | 0.0089 | 0.0124 | 0.0148 | 0.0160 | 0.0108 | 0.0355 |
| A3.1–A3.7 | 0.0075 | 0.0114 | 0.0085 | 0.0110 | 0.0069 | 0.0099 |
| A4.1–A4.6 | 0.0051 | 0.0103 | 0.0127 | 0.0118 | 0.0084 | 0.0116 |
| B1.1–B1.6 | 0.0114 | 0.0217 | 0.0123 | 0.0201 | 0.0082 | 0.0116 |
| B2.1–B2.4 | 0.0109 | 0.0268 | 0.0250 | 0.0268 | 0.0160 | 0.0182 |
| B3.1–B3.4 | 0.0081 | 0.0081 | 0.0213 | 0.0268 | 0.0113 | 0.0182 |
| B4.1–B4.4 | 0.0098 | 0.0268 | 0.0198 | 0.0197 | 0.0117 | 0.0182 |
| C1.1–C1.4 | 0.0193 | 0.0268 | 0.0077 | 0.0160 | 0.0121 | 0.0182 |
| C2.1–C2.7 | 0.0047 | 0.0084 | 0.0104 | 0.0151 | 0.0081 | 0.0097 |
| C3.1–C3.5 | 0.0095 | 0.0172 | 0.0140 | 0.0217 | 0.0097 | 0.0142 |
Fig. 3COVID-19 safe campus scores of three universities
Fig. 4Credal ranking graphs of main and sub-criteria
Fig. 5Comparison of the results of IT2F-BWM and Bayesian BWM
Results of the comparative study performed with different hybrid models
| Hybrid model # | The used method in the hybrid model | Safety score (rank) | |||
|---|---|---|---|---|---|
| 1st stage | 2nd stage | University A | University B | University C | |
| Current model | IT2F-BWM | SAW | 1.00 (1) | 0.54 (3) | 0.73 (2) |
| Model 1 | Bayesian BWM | SAW | 1.00 (1) | 0.54 (3) | 0.74 (2) |
| Model 2 | IT2F-BWM | TOPSIS | 1.00 (1) | 0.12 (3) | 0.44 (2) |
| Model 3 | Bayesian BWM | TOPSIS | 1.00 (1) | 0.10 (3) | 0.44 (2) |
Stage 1: Determining importance weights of criteria; stage 2: Determining university safe campus score