Abstract

This study evaluated a fuzzy technique for order performance by similarity to ideal solution (TOPSIS) as a multicriteria decision making system that compensates for missing information with undefined weight factor criteria. The suggested Fuzzy TOPSIS was applied to ten potential dam sites in three river basins (the Han River, the Geum River, and the Nakdong River basins) in South Korea. To assess potential dam sites, the strategic environment assessment (SEA) monitored four categories: national preservation, endangered species, water quality, and toxic environment. To consider missing information, this study applied the Monte Carlo Simulation method with uniform and normal distributions. The results show that effects of missing information generation with one fuzzy set in GB1 site of the Geum River basin are not great in fuzzy positive-ideal solution (FPIS) and fuzzy negative-ideal solution (FNIS) estimations. However, the combination of two fuzzy sets considering missing information in Gohyun stream (NG) and Hoenggye stream (NH) sites of the Nakdong River basin has a great effect on estimating FPIS, FNIS, and priority ranking in Fuzzy TOPSIS applications. The sites with the highest priority ranking in the Han River, Geum River, and Nakdong River basins based on Fuzzy TOPSIS are the Dal stream 1 (HD1), Bocheong stream 2 (GB2) and NG sites. Among the sites in all river basins, the GB2 site had the highest priority ranking. Consequently, the results coincided with findings of previous studies based on multicriteria decision making with missing information and show the applicability of Fuzzy TOPSIS when evaluating priority rankings in cases with missing information.

Highlights

  • The 625,000 generated data sets were calculated from the 1000 generated data sets for seven sets of missing information with uniform and normal distributions multiplied by 625(=5 Π 4 ) to account for the five possible weights in Table 8 of the four categories

  • The fuzzy positive-ideal solution (FPIS) box plots are close to zero in the HD1, GB1, and GB2 sites for national preservation (NP); the GB2 site for endangered species (ES); the HS2 and GB1 sites for Water quality (WQ); and the HS1, HS2, GB2, and NM sites for toxic environment (TE). This indicates that the normalized fuzzy decision numbers (e rij ) from Equation (3) in the above sites are small because the triangular fuzzy numbers in the above sites are too small to compare with the maximum fuzzy numbers (c∗j )

  • This study investigated the performance of the Fuzzy TOPSIS method in generating a missing information set

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Summary

Introduction

The long-term master plan for dam construction (LPDC) in South Korea is the most significant regulatory arrangement that oversees the activity of the dam development plan in areas where water resources are not sufficient. 10 years based on Article 4 of “the Act on Construction of Dams and Assistance, etc., to their Environs” and mainly consists of the basic policy of dam construction, prediction of the water supply and demand, regional dam construction plan, financing plan, flood control plan, and mitigation methods for environmental impacts, etc. The LPDC is not the final stage to determine the feasibility of dam sites because the actual and specific dam construction sites are not confirmed in the process.

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