Individual Semantics Building for HFLTS Possibility Distribution With Applications in Domain-Specific Collaborative Decision Making

Chen, Zhen‐Song; Xu, Mei; Wang, Xianjia; Chin, Kwai‐Sang; Tsui, Kwok‐Leung; Martínez, Luis

doi:10.1109/access.2018.2885342

Cited by 34 publications

(13 citation statements)

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“…The results provide a useful reference when dealing with MCGDM problems in a hesitant fuzzy context. However, this work also has some limitations, including the expansion of PHFS-based aggregation operators, such as (geometric) Bonferroni means [28], [64], power aggregation operators [65], the proof of compensation characteristics of PHFS-based aggregation operators, and the impact of consensus-reaching problems in MCGDM [66], [67]. These omissions give the main directions for future research.…”

Section: Resultsmentioning

confidence: 99%

Paradigm Shift Toward Aggregation Strategies in Proportional Hesitant Fuzzy Multi-Criteria Group Decision Making Models of Advanced Practice for Selecting Electric Vehicle Battery Supplier

et al. 2019

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Since its initiation, hesitant fuzzy sets (HFSs) have gained prominence thanks to their capability to describe the hesitation of experts to assign membership degrees to objects belonging to a concept. Proportional hesitant fuzzy sets (PHFSs) are an important extension of HFSs and are characterized by the combination of possible membership degrees and their associated proportional information. PHFSs have a huge application potential for hesitant fuzzy GDM problems, because the proportional information in PHFSs can be determined objectively and the introduction of this new information dimension can effectively reduce the uncertainty. Nevertheless, PHFSs have not yet attracted sufficient attention from researchers and practitioners, which motivates us to expand the theory of PHFSs and explore its application potential. The main work comprises the following three aspects: First, we define some basis operations on PHFSs, develop aggregation operators for PHFSs, and demonstrate their properties and interrelationships to lay the theoretical foundations for the application of PHFSs. Next, we construct two multicriteria group decision making (MCGDM) models based on the proposed PHFS-based aggregation operators to bridge between theory and practice for PHFSs. In this step, we propose a method for transforming HFSs or fuzzy sets (FSs) into PHFSs, and two methods based on the maximum entropy principle are proposed for specifying criterion weights. Finally, we investigate a practical case study of the problem of selecting an electric vehicle battery (EVB) supplier to validate the outstanding advantages of PHFSs, explore the compensation characteristics and the applicability of the PHFS-based aggregation operators, and demonstrate the effectiveness and feasibility of the proposed MCGDM models. This paper provides a useful reference for MCGDM in a hesitant fuzzy context. INDEX TERMS Hesitant fuzzy set (HFS), proportional hesitant fuzzy set (PHFS), aggregation operators, multicriteria group decision making (MCGDM), electric vehicle battery (EVB) supplier selection. The associate editor coordinating the review of this manuscript and approving it for publication was Jerry Chun-Wei Lin .

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Section: Resultsmentioning

confidence: 99%

Paradigm Shift Toward Aggregation Strategies in Proportional Hesitant Fuzzy Multi-Criteria Group Decision Making Models of Advanced Practice for Selecting Electric Vehicle Battery Supplier

et al. 2019

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“…e linguistic terms are called fuzzy concepts in view of fuzzy theory. Chen et al [27,28] studied the definition and principle of language terms and their applications in comprehensive evaluation from the perspective of MADM Mathematical Problems in Engineering in a more in-depth way to avoid information loss. Other existing class researches on linguistic variable are conducted by Xiong [29] and Farhadinia [30].…”

Section: Risk Cloud Model: Concept and Constructionmentioning

confidence: 99%

Risk Cloud Model for Evaluating Nautical Navigational Environments

Chen

Tian

2021

Mathematical Problems in Engineering

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Uncertainty makes the risk evaluation of complex water transportation systems (WTSs) a difficult task. To achieve reasonable results while accounting for uncertainty, the risk evaluation of nautical navigational environments (NNEts) is often based on classical cloud model theory. This study proposes the concept of a risk cloud model (RCM) for NNEt evaluation and uses a fuzzy statistics-based computational approach to obtain the RCM parameters. As a case study, the proposed RCM method was applied to the risk evaluation of the Qiongzhou Strait. The performance of the proposed method was compared to those of a fuzzy theory-based method and an earlier proposed simplified algorithm. The results of the case study demonstrated the effectiveness of the proposed method along with several key advantages. First, the method could deal with uncertainty, take advantage of multichannel information, and evaluate risk features. Second, the RCM droplets intuitively displayed the qualitative and quantitative characteristics of risk levels, which facilitated understanding and analysis. Third, it showed a good sensitivity to ensure the refinement of evaluation results. The proposed method offered an improved approach to NNEt risk evaluation under uncertain conditions.

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“…The elements of a decision matrix comprise the performance evaluation information of alternatives on each criterion, while the elements of a preference matrix comprise the preference evaluation information obtained by pairwise comparisons of each two alternatives with regard to a criterion [17], [18], [68]. The evaluation information in these two types of matrix takes different formats, such as real numbers (crisp), 2-tuple models, fuzzy numbers, or linguistic information [13], [15], [25], [53], [62]. Owing to the increasing complexity and uncertainty of the decision-making environment, DMs prefer to articulate evaluation information in the form of fuzzy sets.…”

Section: ) the Articulation And Representation Of Individual Evaluatmentioning

confidence: 99%

“…We conduct an equivalence conversion from one of the fuzzy entropy measures for IVIFSs proposed by Garg [34] to an IFE measure presented in Eq. (15), as shown at the bottom of the next page.…”

Section: B Comparison Analysismentioning

confidence: 99%

Intuitionistic Fuzzy Multiple Criteria Group Decision Making: A Consolidated Model With Application to Emergency Plan Selection

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With complexity and uncertainty having an increasing impact on the decision-making environment, much attention is being paid to the development and application of multiple criteria group decisionmaking (MCGDM) models owing to the potential for fully exploiting the diverse strengths and expertise of various members. In general, inevitable interactions among decision makers (DMs), when a number of DMs share similar knowledge and experiences, can have a significant impact on the management of decision information directly or indirectly related to DMs, and can easily lead to distorted and unconvincing decision outcomes. In order to model the MCGDM problem in which DMs share a similar background, a consolidated MCGDM model in the context of intuitionistic fuzzy sets (IFSs) is developed. First, we refine the constructive principles for intuitionistic fuzzy entropy (IFE) and use them as a basis to produce a novel IFE measure simultaneously factoring in the intuitionism and fuzziness of IFSs. With the aim of dealing with the impact on the specifications of the weights of DMs and criteria, an integrated method is then proposed based on the novel IFE measure, 2-additive fuzzy measure, and Choquet integral. Due to their capability of modeling effectively the interrelationships among arguments, the weighted intuitionistic fuzzy Bonferroni mean (WIFBM) and the weighted intuitionistic fuzzy geometric Bonferroni mean (WIFGBM) are introduced to fuse the individual evaluation values of alternatives on criteria. In addition, simple additive weighting based on the WIFBM or WIFGBM is applied to rank alternatives and select the best one. Finally, the feasibility and effectiveness of the proposed model are explored with a case study of an emergency plan decision-making problem accompanied with sensitivity and comparison analysis.INDEX TERMS Intuitionistic fuzzy sets, Bonferroni mean, intuitionistic fuzzy entropy, 2-additive fuzzy measure, choquet integral, multiple criteria group decision making.

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Individual Semantics Building for HFLTS Possibility Distribution With Applications in Domain-Specific Collaborative Decision Making

Cited by 34 publications

References 58 publications

Paradigm Shift Toward Aggregation Strategies in Proportional Hesitant Fuzzy Multi-Criteria Group Decision Making Models of Advanced Practice for Selecting Electric Vehicle Battery Supplier

Paradigm Shift Toward Aggregation Strategies in Proportional Hesitant Fuzzy Multi-Criteria Group Decision Making Models of Advanced Practice for Selecting Electric Vehicle Battery Supplier

Risk Cloud Model for Evaluating Nautical Navigational Environments

Intuitionistic Fuzzy Multiple Criteria Group Decision Making: A Consolidated Model With Application to Emergency Plan Selection

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