Flood control project selection using an interval type-2 entropy weight with interval type-2 fuzzy TOPSIS

Flood control project is a complex issue which takes economic, social, environment and technical attributes into account. Selection of the best flood control project requires the consideration of conflicting quantitative and qualitative evaluation criteria. When decision-makers’ judgment are under uncertainty, it is relatively difficult for them to provide exact numerical values. The interval type-2 fuzzy set (IT2FS) is a strong tool which can deal with the uncertainty case of subjective, incomplete, and vague information. Besides, it helps to solve for some situations where the information about criteria weights for alternatives is completely unknown. Therefore, this paper is adopted the information interval type-2 entropy concept into the weighting process of interval type-2 fuzzy TOPSIS. This entropy weight is believed can effectively balance the influence of uncertainty factors in evaluating attribute. Then, a modified ranking value is proposed in line with the interval type-2 entropy weight. Quantitative and qualitative factors that normally linked with flood control project are considered for ranking. Data in form of interval type-2 linguistic variables were collected from three authorised personnel of three Malaysian Government agencies. Study is considered for the whole of Malaysia. From the analysis, it shows that diversion scheme yielded the highest closeness coefficient at 0.4807. A ranking can be drawn using the magnitude of closeness coefficient. It was indicated that the diversion scheme recorded the first rank among five causes.Flood control project is a complex issue which takes economic, social, environment and technical attributes into account. Selection of the best flood control project requires the consideration of conflicting quantitative and qualitative evaluation criteria. When decision-makers’ judgment are under uncertainty, it is relatively difficult for them to provide exact numerical values. The interval type-2 fuzzy set (IT2FS) is a strong tool which can deal with the uncertainty case of subjective, incomplete, and vague information. Besides, it helps to solve for some situations where the information about criteria weights for alternatives is completely unknown. Therefore, this paper is adopted the information interval type-2 entropy concept into the weighting process of interval type-2 fuzzy TOPSIS. This entropy weight is believed can effectively balance the influence of uncertainty factors in evaluating attribute. Then, a modified ranking value is proposed in line with the interval type-2 entropy weight. Quantita...

[1]  G H Huang,et al.  A two-stage mixed-integer fuzzy programming with interval-valued membership functions approach for flood-diversion planning. , 2013, Journal of environmental management.

[2]  Xinan Yin,et al.  Development of a coupled reservoir operation and water diversion model: Balancing human and environmental flow requirements , 2011 .

[3]  Haosheng Huang,et al.  Impacts of Mississippi River diversions on salinity gradients in a deltaic Louisiana estuary: Ecological and management implications , 2012 .

[4]  M. Allison,et al.  The use of large water and sediment diversions in the lower Mississippi River (Louisiana) for coastal restoration , 2010 .

[5]  H. Stefan,et al.  The projected costs and benefits of water diversion from and to the Sultan Marshes (Turkey) , 2009 .

[6]  J. Warner.  The Toshka mirage in the Egyptian desert – River diversion as political diversion , 2013 .

[7]  Kerrylee Rogers,et al.  The impacts of river regulation and water diversion on the hydrological drought characteristics in the Lower Murrumbidgee River, Australia , 2011 .

[8]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[9]  Tianming Huang,et al.  Changes in groundwater induced by water diversion in the Lower Tarim River, Xinjiang Uygur, NW China: Evidence from environmental isotopes and water chemistry , 2010 .

[10]  Shyi-Ming Chen,et al.  Fuzzy multiple attributes group decision-making based on the interval type-2 TOPSIS method , 2010, Expert Syst. Appl..

[11]  Eun-Sung Chung,et al.  Robust spatial flood vulnerability assessment for Han River using fuzzy TOPSIS with α-cut level set , 2014, Expert Syst. Appl..

[12]  Z Nurnadiah,et al.  A New Objective Weight on Interval Type-2 Fuzzy Sets , 2011 .

[13]  Shih-Chung Kang,et al.  Development of a 3D virtual environment for improving public participation: Case study - The Yuansantze Flood Diversion Works Project , 2011, Adv. Eng. Informatics.

[14]  Qiong Li,et al.  Research on flood risk analysis and evaluation method based on variable fuzzy sets and information diffusion , 2012 .

[15]  Shyi-Ming Chen,et al.  Fuzzy multiple attributes group decision-making based on the ranking values and the arithmetic operations of interval type-2 fuzzy sets , 2010, Expert Syst. Appl..

[16]  Tien-Chin Wang,et al.  Developing a fuzzy TOPSIS approach based on subjective weights and objective weights , 2009, Expert Syst. Appl..