Multi-Criteria Decision-Making Method Based on Distance Measure and Choquet Integral for Linguistic Z-Numbers

Wang, Jianqiang; Cao, Yong-xi; Zhang, Hongyu

doi:10.1007/s12559-017-9493-1

Cited by 178 publications

(84 citation statements)

References 54 publications

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“…Indeed, the fitness values based on the objective function still result in many contradictions and conflicts in practical operation. However, in the future, we will focus on the application of multidimensional fitness values in the SSO-based CD algorithm and intelligent systems in fuzzy, neutrosophic, inconsistent, and dynamic environments [64][65][66][67][68].…”

Section: Discussionmentioning

confidence: 99%

Community Detection Based on Differential Evolution Using Social Spider Optimization

Wang

Xue-jun

et al. 2017

Symmetry

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Community detection (CD) has become an important research direction for data mining in complex networks. Evolutionary algorithm-based (EA-based) approaches, among many other existing community detection methods, are widely used. However, EA-based approaches are prone to population degradation and local convergence. Developing more efficient evolutionary algorithms thus becomes necessary. In 2013, Cuevas et al. proposed a new differential evolution (DE) hybrid meta-heuristic algorithm based on the simulated cooperative behavior of spiders, known as social spider optimization (SSO). On the basis of improving the SSO algorithm, this paper proposes a community detection algorithm based on differential evolution using social spider optimization (DESSO/CD). In this algorithm, the CD detection process is done by simulating the spider cooperative operators, marriage, and operator selection. The similarity of nodes is defined as local fitness function; the community quality increment is used as a screening criterion for evolutionary operators. Populations are sorted according to their contribution and diversity, making evolution even more different. In the entire process, a random cloud crossover model strategy is used to maintain population diversity. Each generation of the mating radius of the SSO algorithm will be adjusted appropriately according to the iterative times and fitness values. This strategy not only ensures the search space of operators, but also reduces the blindness of exploration. On the other hand, the multi-level, multi-granularity strategy of DESSO/CD can be used to further compensate for resolution limitations and extreme degradation defects based on modular optimization methods. The experimental results demonstrate that the DESSO/CD method could detect the community structure with higher partition accuracy and lower computational cost when compared with existing methods. Since the application of the SSO algorithm in CD research is just beginning, the study is competitive and promising.

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Section: Discussionmentioning

confidence: 99%

Community Detection Based on Differential Evolution Using Social Spider Optimization

Wang

Xue-jun

et al. 2017

Symmetry

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“…Meanwhile, the processing of Z-numbers into various fuzzy numbers may lose the original information. Therefore, in this paper, linguistic Z-numbers (LZNs) [16,17] are utilized to represent the evaluation information. (2) To dispose the improper ways to determine the weights of TMs with single preference, the proposed QFD model takes the subjective and objective weights into considerations.…”

Section: Literature Reviewmentioning

confidence: 99%

“…One is to dispose Z-numbers straightforward with the operations of them [15]. However, Wang et al [16] pointed out that the operations are too intricate to be employed in common life. The other is to transform Z-numbers into other forms of fuzzy numbers.…”

Section: Literature Reviewmentioning

confidence: 99%

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New Framework for Quality Function Deployment Using Linguistic Z-Numbers

Song

Wang

2020

Mathematics

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Quality function deployment (QFD) is a useful design quality control tool in service enterprises and manufacturing enterprises. However, there are several issues in extant QFD frameworks, that is, in three aspects: description of evaluation information, weight determination of expert team members (TMs), and weight identification of customer requirements (CRs). In order to address these issues, a novel QFD framework is first proposed utilizing linguistic Z-numbers (LZNs) with integrated subjective and objective weights of TMs and CRs. The LZNs can represent uncertain information and the reliability of information in a specific way while the fuzzy numbers cannot. Moreover, the order relation analysis (G1) method and improved maximum consensus (MC) method are developed to get the subjective and objective weights of TMs, respectively. Further, the step-wise weight assessment ratio analysis (SWARA) method and statistical distance (SD) method are studied to acquire combined weights of CRs. Next, the proposed QFD framework is applied to a case of logistics service provider, which illustrates the availability and utility of the framework. Then, a sensitivity analysis is conducted to prove the reliability of the framework. Finally, two comparative analyses are performed to declare the advantages of the framework. Results indicate the proposed QFD framework is better than existing models.

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“…Aliev et al [34] presented an approximate reasoning with Zrules on a basis of linear interpolation for evaluation of the job satisfaction and educational achievement of the students. Wang et al [35] represented experts' opinions by Z-numbers and presented a method based on the Choquet integral for MCDM problems using linguistic Z-numbers. Wu et al [36] used experts' opinions for representing a method for ranking Z-numbers.…”

Section: Introductionmentioning

confidence: 99%

Estimation of Food Security Risk Level UsingZ-Number-Based Fuzzy System

Abiyev

Uyar

İlhan

et al. 2018

Journal of Food Quality

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Fuzzy logic systems based on If-en rules are widely used for modelling of the systems characterizing imprecise and uncertain information. ese systems are basically based on type-1 fuzzy sets and allow handling the uncertain and imprecise information to some degree in the developed models. Zadeh extended the concept of fuzzy sets and proposed Z-number characterized by two components, constraint and reliability parameters, which are an ordered pair of fuzzy numbers. Here, the rst component is used to represent uncertain information, and the second component is used to evaluate the reliability or the con dence in truth. Znumber is an e ective approach to solving uncertain problems. In this paper, Z-number-based fuzzy system is proposed for estimation of food security risk level. To construct fuzzy If-en rules, the basic parameters cereal yield, cereal production, and economic growth a ecting food security are selected, and the relationship between these input parameters and risk level are determined through If-en fuzzy rules. e fuzzy interpolative reasoning is proposed for construction of inference mechanism of a Z-number-based fuzzy system. e designed system is tested using Turkey cereal data for assessing food security risk level and prediction periods of the food supply.

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Multi-Criteria Decision-Making Method Based on Distance Measure and Choquet Integral for Linguistic Z-Numbers

Cited by 178 publications

References 54 publications

Community Detection Based on Differential Evolution Using Social Spider Optimization

Community Detection Based on Differential Evolution Using Social Spider Optimization

New Framework for Quality Function Deployment Using Linguistic Z-Numbers

Estimation of Food Security Risk Level UsingZ-Number-Based Fuzzy System

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