An emergency decision making method based on the multiplicative consistency of probabilistic linguistic preference relations

Gao, Jie; Zhang, Xu; Ren, Peijia; Liao, Huchang

doi:10.1007/s13042-018-0839-0

Cited by 79 publications

(44 citation statements)

References 43 publications

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“…In recent years, various emergencies have occurred all over the world, including accidents (such as chemical spills, explosions, and urban fires) and natural disasters (such as earthquakes, hurricanes, and floods) caused by human negligence. These emergencies not only caused huge casualties and property losses, but also adversely affected public safety and social stability .…”

Section: Introductionmentioning

confidence: 99%

Generalized orthopair fuzzy weighted distance‐based approximation (WDBA) algorithm in emergency decision‐making

2019

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With the intensification of global warming trends, the frequent occurrence of natural disasters has brought severe challenges to the sustainable development of society. Emergency decision‐making (EDM) in natural disasters is playing an increasingly important role in improving disaster response capacity. In the case of EDM evaluation, the essential problem arises serious incompleteness, impreciseness, subjectivity, and incertitude. The q‐rung orthopair fuzzy set (q‐ROFS), disposing the indeterminacy portrayed by membership and nonmembership with the sum of qth power of them, is a more viable and effective means to seize indeterminacy. The aim of paper is to present a new score function of q‐rung orthopair fuzzy number (q‐ROFN) for solving the failure problems when comparing two q‐ROFNs. Firstly, we introduce some basic set operations for q‐ROFS. The properties of these operations are also discussed in detail. Later, we propose a q‐rung orthopair fuzzy decision‐making method based on weighted distance‐based approximation (WDBA), in which the weights of decision‐makers are obtained from a nonliner optimization model according to the deviation‐based method. Finally, some examples are investigated to illustrate the feasibility and validity of the proposed approach. The salient features of the proposed method, compared to the existing q‐rung orthopair fuzzy decision‐making methods, are as follows: (a) it can obtain the optimal alternative without counterintuitive phenomena and (b) it has a great power in distinguishing the optimal alternative.

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Section: Introductionmentioning

confidence: 99%

Generalized orthopair fuzzy weighted distance‐based approximation (WDBA) algorithm in emergency decision‐making

2019

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“…Liang et al (2019) extended the TODIM (an acronym in Portuguese of interactive and multiple criteria decision making) method with proportional hesitant fuzzy linguistic sets to solve the mine EDM problem with partial weight information. To address the EDM with incomplete information and dynamic trends, two consistency‐based models were developed by Gao, Xu, Liang, and Liao () and Gao, Xu, Ren, and Liao () using incomplete probabilistic linguistic preference relations and probabilistic linguistic preference relations, respectively. For more effective EDM, Ding and Liu () reported a two‐dimension uncertain linguistic prospect theory‐VIKOR (VIsekriterijumska optimizacija i KOm‐promisno Resenje) approach, and Ding and Liu () presented a Pythagorean fuzzy uncertain linguistic zero‐sum game method.…”

Section: Literature Reviewmentioning

confidence: 99%

“…However, because emergency events are characterized by randomness, complexity, and uncertainty, it is difficult for conventional emergency measures to address them (Cai, Xu, Wang, & Chen, ; Ding & Liu, ). Therefore, the researches on emergency decision making (EDM) problems have gained increasingly attentions from both scholars and practitioners recently (Ding, Liu, & Shi, ; Gao, Xu, Ren, & Liao, ; Li & Wei, ; Y. Liang, Tu, Ju, & Shen, ; Zhou, Wang, Qin, Chai, & Gómez Muñoz, ).…”

Section: Introductionmentioning

confidence: 99%

Emergency decision making with extended axiomatic design approach under picture fuzzy environment

2019

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Timely and effective emergency decision making (EDM) is the key to control the spread of disasters and reduce the casualties and property losses caused by emergencies. However, due to limited time and insufficient data, it is difficult for decision makers to provide accurate information about emergency incidents. Moreover, the EDM problems become complicated and unstructured requiring the deployment of advanced mathematical techniques to derive the most acceptable response. In this paper, we propose a new EDM approach by using picture fuzzy sets and axiomatic design technique for determining the optimal rescue plan to reduce the damages of emergencies. The contribution of this paper is to apply the picture fuzzy sets to handle the uncertainty and ambiguity of decision makers' assessments on emergency alternatives, apply the picture fuzzy hybrid averaging operator to aggregate decision makers' opinions into a group evaluation matrix and extend the axiomatic design technique to identify the best emergency solution for EDM. Finally, a real example is provided, and the result is compared with existing methods to demonstrate the feasibility and practicability of our proposed EDM approach.

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“…Pang et al [11] thus introduced the probabilistic linguistic term set (PLTS), which is capable of dealing with situations where probabilistic distributions cannot be acquired completely in reality, and is capable of carrying out probability information aggregation without a loss of information [24]. Since its introduction, PLTS has been successfully applied to solve practical MADM problems in various settings [38][39][40][41][42][43][44][45][46]. As can be seen, these studies all only allow decision makers to depict their cognitive models through balanced linguistic terms sets (BLTS) [25] which are uniformly and symmetrically distributed.…”

Section: Introductionmentioning

confidence: 99%

“…Xiang et al [42] studied an interactive venture capital group decision-making approach under the PLTS scenario, in which interactions among venture capitalists and entrepreneurs were considered to dynamically deduce weight information. To deal with emergency decision-making problems, Gao et al [43] developed an approach using probabilistic linguistic preference relations (PLPRs), where they equally synthesized subjective possibilities given by decision makers and objective possibilities which were obtained by case-based reasoning. Liao et al [38] proposed an LINMAP-based group decision-making method where the developed linear programming models were used to calculate the weights of evaluative attributes.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Hybrid Linguistic Approaches for Multiple Attribute Group Decision Making with Decision Hesitancy and the Prioritization of Attribute Relationships

Zhang

Hong

et al. 2020

Symmetry

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Focusing on ill-structured multiple attribute decision-making (MADM) problems, including decision hesitancy and attribute prioritization relationships, this paper investigates appropriate approaches for decision making. Firstly, we introduce the probabilistic hybrid linguistic term set (P-HLTS) for capturing probabilistic preferences about possible linguistic labels belonging to a wide range of hesitant linguistic term sets. Entropy and distance measurements for P-HLTS are developed without arbitrary complementing operations. To facilitate decision making with attribute prioritization relationships, we present a probabilistic uncertain balanced linguistic-prioritized weighted average (PUBL-PWA) operator and the probabilistic uncertain balanced linguistic-induced prioritized ordered weighted average (PUBL-IPOWA) operator. In terms of the strength of the above tools, we further construct two multiple attribute group decision-making (MAGDM) approaches under P-HLTS environments, namely, an approach for decision-making situations where attribute prioritization relationships are known in advance and the relative importance of decision makers (DMs) or decision-making units (DMUs) is not required for consideration, and second approach for decision-making situations where both attribute prioritization relationships and the weighted vectors of DMs or DMUs are explicitly unknown. In general, our proposed approaches are more flexible and practical when considering heterogeneous opinions, avoiding information distortion brought about by complementing operation-based distance measures. Furthermore, illustrative application studies are conducted to verify our developed approaches.

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An emergency decision making method based on the multiplicative consistency of probabilistic linguistic preference relations

Cited by 79 publications

References 43 publications

Generalized orthopair fuzzy weighted distance‐based approximation (WDBA) algorithm in emergency decision‐making

Generalized orthopair fuzzy weighted distance‐based approximation (WDBA) algorithm in emergency decision‐making

Emergency decision making with extended axiomatic design approach under picture fuzzy environment

Probabilistic Hybrid Linguistic Approaches for Multiple Attribute Group Decision Making with Decision Hesitancy and the Prioritization of Attribute Relationships

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