Dynamic stochastic multi-criteria decision making method based on cumulative prospect theory and set pair analysis

Hu, Junhua; Liu, Yang

doi:10.1016/j.sepro.2011.08.064

Cited by 55 publications

(31 citation statements)

References 11 publications

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“…A and B k are constructed as a set pair of H(A, B k ), carry out symbol quantization evaluation objects A and symbols of quantitative grading standard B k , and then the grade standard of A each with respect to the corresponding attribute in the comparison, if you fall into the k level, then the index belong to the class k; at last we will do the corresponding symbol of A and B k element comparison, statistics the same number of symbols, and reference contact degree concept is the idea expressed in a mathematical formula [35,36].…”

Section: Methodsmentioning

confidence: 99%

Evaluation of Sustainable Use of Water Resources in the Beijing-Tianjin-Hebei Region Based on S-Type Functions and Set Pair Analysis

Men

Liu

2018

Water

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Beijing-Tianjin-Hebei is an area with insufficient per capita water resources. This study evaluates the current status and development trend of sustainable use of water resources in the region, and identifies specific factors influencing sustainable development so as to provide a theoretical basis and data support for the management of water resources in the Beijing-Tianjin-Hebei region. Applying the compound system of social, economic and ecological environment, this study established an evaluation index system. The evaluation index data is obtained through the relevant calculations based on the National Economic and Social Development Announcement, the Water Resources Bulletin and the National Bureau of Statistics data. The index weights are calculated using a combination of rough set and fuzzy theory. The obtained weights were added to the set pair analysis method to acquire evaluation results. Based on the traditional set pair analysis method, this study proposes a new set pair analysis method (Method 4) using S-type functions (Formula (11)) instead of the addition weighted synthesis method (Formula (10)) in the calculation of weighted connections. In order to verify the feasibility of this method, the Spearman correlation coefficient method was used to calculate the correlation coefficient between evaluation results of Method 4 and evaluation results of other traditional methods. In addition, the set pair exponential potential is adopted to determine the impact indicators of the sustainable utilization of water resources in Beijing-Tianjin-Hebei in this study. The results show that in the Beijing-Tianjin-Hebei region, the overall level of sustainable use of water resources has been gradually raised in the past 12 years. The results of the set pair analysis method that cites S-type functions have obtained higher Spearman correlation coefficients than traditional methods. The values of the correlation coefficients are 0.9954, 0.9910, and 0.9928 respectively in Beijing, Tianjin and Hebei. Moreover, according to the results of set pair exponential potential, the indicators in the region are quasi-inverse potential or strong inverse potential, including per capita water resources and the ecological environment water use rate. Thus, a dense population with scarce water resources, and a lack of ecological water are the common problems that Beijing, Tianjin and Hebei have to face.

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Section: Methodsmentioning

confidence: 99%

Evaluation of Sustainable Use of Water Resources in the Beijing-Tianjin-Hebei Region Based on S-Type Functions and Set Pair Analysis

Men

Liu

2018

Water

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“…Each building group shares various M A N U S C R I P T A C C E P T E D ACCEPTED MANUSCRIPT 13 commonalities such as climate environment, structure, designers, construction time, etc., which offered researchers numerous opportunities for parallel comparisons. Therefore, this research adopted a pair-group analysis method to isolate and analyze a single variable [49,50] to comparatively evaluate the effectiveness and adjusting degree of atrium space strategy in each building in the two groups. …”

Section: The Subject Samplementioning

confidence: 99%

Impact evaluation of the indoor environmental performance of animate spaces in buildings

Song

et al. 2015

Building and Environment

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“…Prospect theory has been widely used as behavioral model of decision-making under risk, mainly in economics and finance [6,11,12]. In current MCDM studies, attitudes towards risk are seldom taken into consideration.…”

Section: Valuementioning

confidence: 99%

A Multiple Criteria Decision Making Method Based on Relative Value Distances

Shyur

Liang

Shih

et al. 2015

Foundations of Computing and Decision Sciences

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Abstract. This paper proposes a new multiple criteria decision-making method called ERVD (election based on relative value distances). The s-shape value function is adopted to replace the expected utility function to describe the risk-averse and risk-seeking behavior of decision makers. Comparisons and experiments contrasting with the TOPSIS (Technique for Order Preference by Similarity to the Ideal Solution) method are carried out to verify the feasibility of using the proposed method to represent the decision makers' preference in the decision making process. Our experimental results show that the proposed approach is an appropriate and effective MCDM method.

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Dynamic stochastic multi-criteria decision making method based on cumulative prospect theory and set pair analysis

Cited by 55 publications

References 11 publications

Evaluation of Sustainable Use of Water Resources in the Beijing-Tianjin-Hebei Region Based on S-Type Functions and Set Pair Analysis

Evaluation of Sustainable Use of Water Resources in the Beijing-Tianjin-Hebei Region Based on S-Type Functions and Set Pair Analysis

Impact evaluation of the indoor environmental performance of animate spaces in buildings

A Multiple Criteria Decision Making Method Based on Relative Value Distances

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