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Multi-Attribute Decision-Making Method Based on Prospect Theory in Heterogeneous Information Environment and Its Application in Typhoon Disaster Assessment

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Multi-Attribute Decision-Making Method Based on Prospect Theory in Heterogeneous Information Environment and Its Application in Typhoon Disaster Assessment International Journal of Computational Intelligence Systems Vol. 12(2), 2019, pp. 881–896 DOI: https://doi.org/10.2991/ijcis.d.190722.002; ISSN: 1875-6891; eISSN: 1875-6883 https://www.atlantis-press.com/journals/ijcis/ Multi-Attribute Decision-Making Method Based on Prospect Theory in Heterogeneous Information Environment and Its Application in Typhoon Disaster Assessment Ruipu Tan1,2, Wende Zhang3,*, Lehua Yang2, Shengqun Chen2 1School of Economics and Management, Fuzhou University, Room 206, Library, Qi Shan Campus of Fuzhou University, 2 Xue Yuan Road, University Town, Fuzhou, 350116, China 2College of Electronics and Information Science, Fujian Jiangxia University, Fuzhou, 350108, China 3Institute of Information Management, Fuzhou University, Fuzhou, 350116, China ARTICLEINFO A BSTRACT Article History Aiming at the decision-making problem in heterogeneous information environment and considering the influence of decision Received 26 Apr 2019 makers’ psychological behavior on decision-making results, this paper proposes a multi-attribute decision-making method based Accepted 10 Jul 2019 on prospect theory in heterogeneous information environment. The heterogeneous information in this paper indicates that the decision attribute value is represented by various types of data forms, including exact number, interval number, linguistic term, Keywords intuitionistic fuzzy number, interval intuitionistic fuzzy number, neutrosophic numbers, and trapezoidal fuzzy neutrosophic Multi-attribute decision-making numbers, and so on. Firstly, the distance and similarity measure of various heterogeneous data are introduced, and the hetero- (MADM) geneous information attribute weights are obtained using the deviation maximization method. Then, the psychological expecta- Heterogeneous information tion value of each attribute given by the decision maker is used as a reference point, thereby calculating the gain and loss of each Prospect theory attribute value relative to the reference point, and establishing a gain matrix and a loss matrix. On this basis, the prospect theory Neutrosophic set is used to obtain the comprehensive prospect value of each alternative, so as to obtain the alternative ordering result and optimal Typhoon disaster assessment alternative. Finally, an illustrative example about typhoon disaster assessment is presented to show the feasibility and effective- ness of the proposed method, and the advantages of the proposed method are illustrated by comparison with other methods. © 2019 The Authors. Published by Atlantis Press SARL. This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/). 1. INTRODUCTION methods are based on a single type of data, and there are few studies on multiple data types. However, in some complicated situations, Multi-attribute decision-making is a problem in which a decision- the decision is faced with heterogeneous data. For example, in our maker evaluates a finite set of alternatives associated with mul- typhoon disaster assessment study, the representation of the assess- tiple attributes [1]. It has been widely applied in many practical ment information is diverse. The number of population death is problems, such as supplier selection [2,3], pattern recognition [4], usually accurately obtained, which is expressed as an exact num- medical diagnosis [5,6], emergency decision [7,8], water allocation ber (EN). The number of population affected can usually obtain its [9], disaster assessment [10–12], and so on. Therefore, the multi- approximate range, which can be expressed as an interval number. attribute decision-making method has become the focus of schol- Again, the severity of economic loss tends to be expressed in lin- ars and has been extensively studied. However, the decision-making guistic terms (LTS). If the assessment of traffic flow after disaster problem has become more and more complicated because of the can get the maximum possible range and possible fluctuation range, increasing amount of decision information and alternatives, and TrFNNs can be generally used. the inherent uncertainty and complexity of decision problems, and the fuzzy nature of human thinking [12]. Especially in some sud- Heterogeneity indicates that the type and nature of information or den, complicated situations, some decision information is often not data is different [19]. In view of the high risk, complexity, and ambi- accurately represented, often expressed as fuzzy, vague, hesitant, guity of typhoon disasters, evaluation information cannot always incomplete, indeterminate, and inconsistent. So the fuzzy set (FS) be expressed as ENs, and often has the characteristics of interval, [13], hesitant fuzzy set (HFS) [14], rough set [15], grey theory [16], ambiguity, and hesitation, and is more appropriately expressed as intuitionistic fuzzy set (IFS) [17], and neutrosophic set (NS) [18] interval numbers (IVNs), fuzzy numbers (FNs), and intuitionistic are used to model the decision information. Throughout the exist- fuzzy numbers (IFNs). In addition, due to the ambiguity of human ing research literature, most of the multi-attribute decision-making thinking, it is difficult to use the quantitative numerical represen- tation of decision information in the decision-making process, and Pdf_Folio:881 it is more inclined to use qualitative LTs to evaluate attributes. At *Corresponding author. E-mail: [email protected] the same time, typhoon disasters also have great uncertainty. Such 882 R. Tan et al. / International Journal of Computational Intelligence Systems 12(2) 881–896 evaluation information can be characterized as neutrosophic num- Sorting method is a research hotspot in decision-making bers (NNs), trapezoidal fuzzy neutrosophic numbers (TrFNNs), including method based on scoring function and exact function, and so on. So, the processing heterogeneous information is a key similarity measure method, VIKOR method, TOPSIS method, point in the decision-making process [1,19–21]. Sun et al.[1] pro- grey theory, TODIM method, and so on, and most of the methods posed a MADM with grey multi-source heterogeneous data includ- are based on the assumption that the decision maker is completely ing ENs, interval grey numbers, and extend grey numbers. Yu et al. rational. But some studies about behavioral experiments have [19] proposed a heterogeneous MADM considering four types of shown that the decision maker is bounded rational in decision data: ENs, IVNs, triangular fuzzy numbers (TFNs), and IFNs. Pan processes and his behavior plays an important role in decision et al.[20] proposed a hybrid MADM based on VIKOR with multi- analysis [41]. In the face of emergencies, especially after the disas- granularity LNs, ENs, IVNs. Wan et al.[21] proposed a MADM for ter, the psychological factors of decision makers play a key role in heterogeneous infromation including ENs, IVNs, TFNs, and trape- decision-making, and the research on this aspect is still rare. PT zoidal fuzzy numbers (TrFNs). Lourenzutti et al.[22] proposed a introduced by Kahneman et al.[42,43] provides a simple and clear generalized TOPSIS method for MADM with heterogeneous infor- computation process to describe the psychological behavior using mation including crisp numbers, IVNs, FNs, IFNs, and random reference points, losses, gains, and overall prospect values [44]. So vectors. Zhang et al.[23] proposed a risk-based MADM based on it has been widely applied in the various fields to solve the practical three heterogeneous data: ENs, IVNs, and TFNs. Fanet et al.[24] problems considering human being’s psychological behavior. Gao proposed a hybrid MADM based on cumulative prospect theory et al.[45] and Best et al.[46] applied PT to solve asset allocation. (PT) with heterogeneous data including ENs, IVNs, and LTs. Qi Attema et al.[47] studied the application of PT in the field of et al.[25] proposed a MADM based on heterogeneous data such as health domains. Tian et al.[48] studied the park-and-ride behavior multi-granularity language numbers, IFNs, and interval intuition- in a cumulative PT-based model. Van Tol et al.[49] studied the istic fuzzy numbers (IVIFNs) into IVIFNs to calculate the compre- application of cumulative PT in option valuation and portfolio hensive evaluation value of the alternative. However, looking at the management. Zou et al.[50] studied the optimal investment with existing research literature, we have not seen the study of heteroge- transaction costs under cumulative PT. Liu et al.[51] and Zhang neous data including the NN. On the other hand, in terms of prac- et al.[52] proposed emergency decision-making methods based tical applications, the assessment of post-typhoon disasters is a very on PT. Tao et al.[53] proposed the brain mechanism of economic complicated issue, and it is sometimes difficult for experts to make management risk decision based on PT. Ning et al.[54] studied the clear decisions. For example, we invited the expert group to assess disruption management strategy based on PT. Sullivan et al.[55] the severity of social impact, 30% vote “Yes,” 20% vote “No,” 10% examined the forest certification problem based on PT. Yu et al. give up, and 40% are undecided. Such a vote is beyond the scope of [56] studied the typhoon disaster emergency scheme generation IFS to distinguish the information between “giving up” and “unde- and dynamic adjustment based on CBR and PT. However, given cided.” Such a scenario indicates that the NN needs to be studied in the existing research,
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