Hfmadm Method Based on Nondimensionalization and Its Application in the Evaluation of Inclusive Growth

Wang, Zengwen; Hetzler, Antoinette

doi:10.3846/16111699.2017.1341848

Cited by 19 publications

(17 citation statements)

References 35 publications

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“…In many cases, the numbers of values in different HFEs are usually different (Liu et al [28]; Liu et al [29]). Xu and Xia [30] put forward an extending principle for HFEs as follows: Given two HFEs h 1 and h 2 , the shorter HFE can be extended by adding values into it until the compared HFEs are of equal length.…”

Section: Definitionmentioning

confidence: 99%

A Novel Approach to Fuzzy Cognitive Map Based on Hesitant Fuzzy Sets for Modeling Risk Impact on Electric Power System

Wang¹,

Zhang²,

Jia-shu³

2019

IJCIS

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Electric power industry has been undergoing enormous transformations. Therefore, it is necessary to improve the security of electric power system and the decision capacity in the emergency process. As a complicated system, electric power system is affected by many factors, the reasoning of which can be regarded as a process that combines intuition and cognition. Uncertainty characterizes human cognitive and reasoning processes. Several extensions of fuzzy cognitive map (FCM) model have been suggested to handle multifarious sources of uncertainty. Nevertheless, the uncertainty from human doubt may arise in the assignment of membership degrees, which is neglected in current FCMs. To deal with this problem, a novel approach based on hesitant fuzzy sets (HFSs) and FCMs, called hesitant fuzzy cognitive maps (HFCMs), is presented in this paper. The proposed method, which possesses the features of tackling hesitancy explicitly during the experts' assessments, is demonstrated by an example on the analysis of risk factors affecting electric power system. It can provide a better simulation of the inherent uncertainty in real problems through the hesitancy represented in experts' knowledge, and a what-if analysis for describing hesitant fuzzy scenario is well developed with the HFCM model.

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Section: Definitionmentioning

confidence: 99%

A Novel Approach to Fuzzy Cognitive Map Based on Hesitant Fuzzy Sets for Modeling Risk Impact on Electric Power System

Wang¹,

Zhang²,

Jia-shu³

2019

IJCIS

Self Cite

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“…Based on the well-known Hamming distance, Liu et al (2017) proposed a novel hesitant fuzzy distance measure without adding any values into the shorter HFE.…”

Section: Preliminariesmentioning

confidence: 99%

“…Farhadinia (2013) discussed the relationship between distance measure, similarity measure and entropy of HFSs. Novel information measures for hesitant fuzzy sets, such as distance measures (Hu, Zhang, Chen, & Liu, 2016;Peng, Wang, & Wu, 2016;Liu, Wang, & Hetzler, 2017) and correlation coefficients (Meng & Chen, 2015), have been proposed without adding any values into the shorter HFE. Zhu (2014) extended HFS to probability-hesitant fuzzy sets (P-HFSs).…”

Section: Introductionmentioning

confidence: 99%

CRM-Based Dynamic Decision-Making With Hesitant Fuzzy Information for the Evaluation of Rangelands

Wang

Zhang

Hetzler

2018

Technological and Economic Development of Economy

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As one of the important components of global land ecosystem, rangeland ecosystem has important value of ecosystem services. With the degeneration of rangeland in recent years, sustainability within rangeland ecosystem has become an increasingly important issue. The aim of this paper is to develop a novel dynamic decision-making approach based on hesitant fuzzy information to evaluate rangeland sustainability that considers ecological, social and economic aspects. Firstly, a modified satisfaction degree of alternative is presented, based on which a mathematical model for determining the stage weights is constructed. Secondly, the compromise ratio method (CRM), whose basic principle is that the optimal alternative should have the nearest distance from positive ideal solution and the longest distance from negative ideal solution simultaneously, is extended to accommodate hesitant fuzzy environment, and then adopted to tackle the dynamic decision-making with hesitant fuzzy information. Compared with the existing methods, the proposed method can eliminate the impact of attribute magnitude and dimension. Lastly, a numerical example on the evaluation of rangelands is provided to illustrate the practicality and superiority of the proposed method.

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“…To model the uncertainty, Torra (2010) proposed the concept of hesitant fuzzy set (H.F.S. ), which is an extension of fuzzy set and can be considered as an effective tool for handling the uncertainty and fuzziness in the uncertain data ( Liu, Wang, & Hetzler, 2017, 2018a, 2018b. With the in-depth research, a significant drawback with H.F.S.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic hesitant fuzzy multiple attribute decision-making based on regret theory for the evaluation of venture capital projects

Wang

Zhang

Jia-shu

2020

Economic Research-Ekonomska Istraživanja

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The selection of venture capital investment projects is one of the most important decision-making activities for venture capitalists. Due to the complexity of investment market and the limited cognition of people, most of the venture capital investment decision problems are highly uncertain and the venture capitalists are often bounded rational under uncertainty. To address such problems, this article presents an approach based on regret theory to probabilistic hesitant fuzzy multiple attribute decision-making. Firstly, when the information on the occurrence probabilities of all the elements in the probabilistic hesitant fuzzy element (P.H.F.E.) is unknown or partially known, two different mathematical programming models based on water-filling theory and the maximum entropy principle are provided to handle these complex situations. Secondly, to capture the psychological behaviours of venture capitalists, the regret theory is utilised to solve the problem of selection of venture capital investment projects. Finally, comparative analysis with the existing approaches is conducted to demonstrate the feasibility and applicability of the proposed method.

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Hfmadm Method Based on Nondimensionalization and Its Application in the Evaluation of Inclusive Growth

Cited by 19 publications

References 35 publications

A Novel Approach to Fuzzy Cognitive Map Based on Hesitant Fuzzy Sets for Modeling Risk Impact on Electric Power System

A Novel Approach to Fuzzy Cognitive Map Based on Hesitant Fuzzy Sets for Modeling Risk Impact on Electric Power System

CRM-Based Dynamic Decision-Making With Hesitant Fuzzy Information for the Evaluation of Rangelands

Probabilistic hesitant fuzzy multiple attribute decision-making based on regret theory for the evaluation of venture capital projects

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