Purpose–In this paper,two popular multiple-criteria decision-making(MCDM)methods with hesitant fuzzy logic approach;hesitant fuzzy analytic hierarchy process(hesitant F-AHP)and hesitant fuzzy the technique for order ...Purpose–In this paper,two popular multiple-criteria decision-making(MCDM)methods with hesitant fuzzy logic approach;hesitant fuzzy analytic hierarchy process(hesitant F-AHP)and hesitant fuzzy the technique for order preference by similarity to ideal solution(HF-TOPSIS)are integrated as HF-AHP-TOPSIS to evaluating a set of enterprise resource planning(ERP)alternatives and rank them by weight to reach to the ultimate one that satisfies the needs and expectations of a company.Design/methodology/approach–Selecting the best ERP software package among the rising number of the options in market has been a critical problem for most companies for a long time because of the reason that an improper ERP software package might lead to many issues(i.e.time loss,increased costs and a loss of market share).On the other hand,finding the best ERP alternative is a comprehensive MCDM problem in the presence of a set of alternatives and several potentially competing quantitative and qualitative criteria.Findings–In this integrated approach,the hesitant F-AHP is used to determine the criteria weights,as the hesitant F-TOPSIS is utilized to rank ERP package alternatives.The proposed approach was also validated in a numerical example that has five ERP package alternatives and 12 criteria by three decision-makers in order to show its applicability to potential readers and practitioners.Research limitations/implications–If the number of the alternatives and criteria are dramatically increased beyond reasonable numbers,the reaching to final solution will be so difficult because of the great deal of fuzzy based calculations.Therefore,the number of criteria and alternatives should be at reasonable numbers.Practical implications–The proposed approach was also validated in a illustrated example with the five ERP package options and 12 criteria by the three decision-makers in order to show its applicability to potential readers and practitioners.Originality/value–Furthermore,in literature,to the best of our knowledge,the authors did not come cross any work that integrates the HF-AHP with the HF-TOPSIS for ERP software package selection problem.展开更多
This paper demonstrates that the susceptible-infected-removed （SIR） model applied to the early phase of an epidemic can be used to determine epidemic parameters reliably. As a case study, the SIR model is applied to...This paper demonstrates that the susceptible-infected-removed （SIR） model applied to the early phase of an epidemic can be used to determine epidemic parameters reliably. As a case study, the SIR model is applied to the fatality data of the 2009 fall wave cycle of the A（H1N1） pandemic in 12 European countries. It is observed that the best estimates of the basic reproduction number R0 and the mean duration of the infection period l/r/ lie on a curve in the scatterplots, indicating the existence of a nearly-invariant quantity which corresponds to the duration of the epidemic. Spline interpolation applied to the early phase of the epidemic, an approximately 10-week period, together with a future control point in the stabilization region, is sufficient to estimate model parameters. The SIR model is run over a wide range of parameters and estimates of R0 in the range 1.2- 2.0 match the values in the literature. The duration of the infection period, 1/η is estimated to be in the range 2.0-7.0 days. Longer infection periods are tied to spatial characteristics of the spread of the epidemic.展开更多
文摘Purpose–In this paper,two popular multiple-criteria decision-making(MCDM)methods with hesitant fuzzy logic approach;hesitant fuzzy analytic hierarchy process(hesitant F-AHP)and hesitant fuzzy the technique for order preference by similarity to ideal solution(HF-TOPSIS)are integrated as HF-AHP-TOPSIS to evaluating a set of enterprise resource planning(ERP)alternatives and rank them by weight to reach to the ultimate one that satisfies the needs and expectations of a company.Design/methodology/approach–Selecting the best ERP software package among the rising number of the options in market has been a critical problem for most companies for a long time because of the reason that an improper ERP software package might lead to many issues(i.e.time loss,increased costs and a loss of market share).On the other hand,finding the best ERP alternative is a comprehensive MCDM problem in the presence of a set of alternatives and several potentially competing quantitative and qualitative criteria.Findings–In this integrated approach,the hesitant F-AHP is used to determine the criteria weights,as the hesitant F-TOPSIS is utilized to rank ERP package alternatives.The proposed approach was also validated in a numerical example that has five ERP package alternatives and 12 criteria by three decision-makers in order to show its applicability to potential readers and practitioners.Research limitations/implications–If the number of the alternatives and criteria are dramatically increased beyond reasonable numbers,the reaching to final solution will be so difficult because of the great deal of fuzzy based calculations.Therefore,the number of criteria and alternatives should be at reasonable numbers.Practical implications–The proposed approach was also validated in a illustrated example with the five ERP package options and 12 criteria by the three decision-makers in order to show its applicability to potential readers and practitioners.Originality/value–Furthermore,in literature,to the best of our knowledge,the authors did not come cross any work that integrates the HF-AHP with the HF-TOPSIS for ERP software package selection problem.
文摘This paper demonstrates that the susceptible-infected-removed （SIR） model applied to the early phase of an epidemic can be used to determine epidemic parameters reliably. As a case study, the SIR model is applied to the fatality data of the 2009 fall wave cycle of the A（H1N1） pandemic in 12 European countries. It is observed that the best estimates of the basic reproduction number R0 and the mean duration of the infection period l/r/ lie on a curve in the scatterplots, indicating the existence of a nearly-invariant quantity which corresponds to the duration of the epidemic. Spline interpolation applied to the early phase of the epidemic, an approximately 10-week period, together with a future control point in the stabilization region, is sufficient to estimate model parameters. The SIR model is run over a wide range of parameters and estimates of R0 in the range 1.2- 2.0 match the values in the literature. The duration of the infection period, 1/η is estimated to be in the range 2.0-7.0 days. Longer infection periods are tied to spatial characteristics of the spread of the epidemic.
