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Ranking and comparing grey numbers represent a very important decision-making procedure in any given grey environment. The purpose of this paper is to study the existing approaches of ordering interval grey numbers in the context of decision making by surveying existing definitions.

Different methods developed for comparing grey numbers are presented along with their disadvantages and advantages in terms of comparison outcomes. Practical examples are employed to show the importance and necessity of using appropriate methods to compare grey numbers.

Most the available methods are not suitable for pointing out which number is larger when the nuclei of the grey numbers of concern are the same. Also, these available methods are also considered in terms of partial order and total order. Kernel and degree of greyness of grey numbers method is more advantageous than other methods and almost eliminates the shortcomings of other methods.

Different methods for ranking grey numbers are presented where each of them has disadvantages and advantages. By using different methods, grey interval numbers are compared and the results show that some methods cannot make grey number comparisons in some situations. The authors intend to find a method that can compare grey numbers in any situation. The findings of this research can prevent errors that may occur based on inaccurate comparisons of grey numbers in decision making. There are various research studies on the comparison of grey numbers, but there is no research on the comparison of these methods and their disadvantages, advantages or their total or partial order.

Intuitionistic linguistic fuzzy information (ILFI), characterized by linguistic terms and intuitionistic fuzzy sets (IFSs), can easily express the fuzzy information in the process of muticriteria decision making (MCDM) and muticriteria group decision making (MCGDM) problems. The purpose of this paper is to provide an overview of aggregation operators (AOs) and applications of ILFI.

First, some meaningful AOs for ILFI are summarized, and some extended MCDM approaches for intuitionistic uncertain linguistic variables (IULVs), such as extended TOPSIS, extended TODIM, extended VIKOR, are discussed. Then, the authors summarize and analyze the applications about the AOs of IULVs.

IULVs, characterized by linguistic terms and IFSs, can more detailed and comprehensively express the criteria values in the process of MCDM and MCGDM. Therefore, lots of researchers pay more and more attention to the MCDM or MCGDM methods with IULVs.

The authors summarize and analyze the applications about the AOs of IULVs Finally, the authors point out some possible directions for future research.

This paper aims to study the boundary disturbance rejection control design for a flexible Timoshenko robot arm to diminish external disturbances and achieve desired angle tracking, with system vibration and elastic deformation considered.

This study introduces disturbance observer and disturbance rejection mechanism into the boundary control design for flexible Timoshenko robot arm systems. The uniform bounded stability of controlled systems is proved via Lyapunov analysis without any simplification of the infinite-dimensional system dynamics.

The proposed boundary disturbance rejection control scheme can effectively suppress vibrations and shear deformations, achieve the required angular positioning and reject external disturbances. Numerical simulations developed by the finite difference method are adapted to demonstrate the validity of the designed controller.

The originality of this study is to design boundary disturbance rejection control to suppress vibrations and shear deformations for the flexible Timoshenko robot arm, thereby improving the performance and control accuracy of the system.

Due to social transformation in China, more than 100,000,000 people are migrating within the country. Many parents are forced to leave their children behind when they migrate. In 2008, 58,000,000 children were living as left‐behind children, mainly in the rural parts of China (Zhang, 2009).Migration and its accompanying stressors may affect the mental health of the left‐behind children. This unique literature review of Chinese literature summarises the present state of knowledge and reviews the influential factors. Possible approaches to intervention and system reforms are discussed.A literature review was performed of published studies between 2001 and 2008. Databases used were Fujian Medical University Library Interface, Chinese National Knowledge Infrastructure, Wanfang Data, and VIP Information. The Chinese word for ‘left‐behind’ was used as a key word. Books, book chapters, monographs and studies on caring were searched electronically and by hand. Altogether, 53 items were found, discussed and grouped together. Migration affected the mental health of the left‐behind children in a passive way, especially their emotions and social behaviour.There is still controversy over how serious mental health problems are among children who have been left behind. Life events, personality, coping strategies and social suppor t can be regarded as four main factors that are predictive of mental health, which provides theoretical guidance for intervention. Suppor t and prevention of mental health problems in schools, in families and in primary care should be developed and studied.

With respect to the multiple-attribute decision-making problem with subjective preference for a certain attribute whose weight-value range have been given over other attributes whose weight values are unknown, a method based on the mean value of the grey number is proposed to analyse the decision-making problem. This method is used to choose a supply-chain partner under the condition that the decision makers have a preference for a certain attribute of various alternatives. The paper aims to discuss these issues.

First, the middle value of the preferred attribute’s weight-value range is supposed to be its weight value according to the content of the mean value of the grey number. Second, to reflect the decision maker’s subjective preference information, an improved optimisation model that requests the minimum deviation between the actual and expected numerical value of each attribute is constructed to assess the attributes’ weights. Third, the correlated degree and the correlation matrix, which are determined by the weight values of all attributes, are used to rank all the alternatives.

This paper provides a method for making a decision when decision makers have a preference for a certain attribute from an array of various alternatives, and the range of the certain attribute’s weight value is given but the weight value of the other attributes is unknown. When applied to supply-chain partner selection, this method proves feasible and effective.

This method is feasible and effective when applied to supply-chain partner selection, and can be applied to other kinds of decision-making problems. This means it has significant theoretical importance and extensive practical value.

Based on the mean value of the grey number, an optimisation model is built to determine the importance degree of each attribute, then the correlated degree of each alternative is combined to rank all the alternatives. This method can suit the decision makers’ subjective preference for a certain attribute well.

This study aims to explore the relationships among destination brand equity, brand authenticity and revisit intention. The mediating role of tourist satisfaction and the moderating role of destination familiarity in these relationships are also investigated.

Based on the stimulus–organism–response theory, a structural equation model was constructed to test the relationships among the study variables. The original data was obtained using a questionnaire survey method from domestic tourists who have traveled to Guilin in China.

The findings revealed that brand equity and brand authenticity not only positively and directly affect revisit intention but also have an indirect influence on revisit intention through the mediating role of tourist satisfaction. Destination familiarity positively moderates the direct influence of brand equity on revisit intention. Furthermore, brand authenticity significantly and positively affects brand equity.

The findings of this study provide a certain enlightenment for brand marketing and tourist destination management.

This study reveals the impact path of brand equity and brand authenticity on revisit intention, compensating for the lack of attention on impact mechanism among them. This study proves the impact of brand authenticity on destination brand equity. This compensates for the deficiencies that ignore possible antecedents affecting destination brand equity and the impact of brand authenticity on brand equity in the context of tourism destination. This study also confirms the specific dimensions of brand equity and brand authenticity in the context of Chinese tourism destinations in response to the current controversy.

旅游目的地品牌资产、品牌真实性与重游意愿: 游客满意度的中介作用与目的地熟悉度的调节作用

摘要

本研究致力于探究旅游目的地品牌资产、品牌真实性与重游意愿之间的关系。本文也研究了游客满意度在这些关系中所起的中介作用以及目的地熟悉度的调节作用。

本文以刺激-机体-反应理论为基础, 通过构建结构方程模型来对变量之间的关系进行检验。原始数据是通过问卷调查法从曾在桂林旅游的国内游客中获得。

目的地品牌资产和品牌真实性在直接正向影响重游意愿的同时, 还通过游客满意度的中介作用来间接影响重游意愿。目的地熟悉度在品牌资产对重游意愿的直接影响中起着正向调节作用。此外, 目的地品牌真实性对品牌资产起着显著正向影响。

本研究揭示了目的地品牌资产与品牌真实性对重游意愿的影响路径, 弥补了对其中影响机制关注不足的缺陷。本研究证实了旅游目的地背景下品牌真实性对品牌资产的具体影响, 弥补了现有文献较少关注影响目的地品牌资产的可能前因以及旅游目的地背景下品牌真实性对品牌资产具体影响的不足。此外, 本研究以中国旅游目的地为研究背景, 证实了品牌资产与品牌真实性的具体维度, 回应了当前的争议。

本研究结论对旅游目的地品牌营销与管理提供一定的启示。

Valor de marca de destino turístico, autenticidad de marca y voluntad de volver a visitar：El papel mediador de la satisfacción del turista y el papel moderador de la familiaridad con el destino

Resumen

este estudio tiene como objetivo explorar las relaciones entre el valor de la marca de destino, la autenticidad de la marca y la intención de volver a visitar. También se investiga el papel mediador de la satisfacción del turista y el papel moderador de la familiaridad con el destino en estas relaciones.

con base en la teoría Estímulo-Organismo-Respuesta, se construye un modelo de ecuación estructural para probar las relaciones entre las variables de investigación. Los datos originales se obtienen mediante el método de encuesta por cuestionario de turistas nacionales que han viajado a Guilin en China.

los hallazgos revelaron que el valor y la autenticidad de la marca no solo afectan positiva y directamente la intención de volver a visitar, sino que también tienen una influencia indirecta en la intención de volver a visitar a través del papel mediador de la satisfacción del turista. La familiaridad con el destino modera positivamente la influencia directa del valor de la marca en la intención de volver a visitar. Además, la autenticidad de la marca afecta de manera significativa y positiva al valor de la marca.

este documento revela el camino del impacto del valor de marca y la autenticidad de la marca en la intención de volver a visitar, compensando la falta de atención al mecanismo de impacto entre ellos. Este trabajo demuestra el efecto de la autenticidad de la marca en el valor de la marca del destino, que compensa las deficiencias que ignoran los posibles antecedentes que afectan el valor de la marca del destino y el impacto de la autenticidad de la marca en el valor de la marca en el contexto del destino turístico. Este estudio también confirma las dimensiones específicas del valor de marca y la autenticidad de la marca en el contexto del destino turístico chino, respondiendo a la controversia actual.

los hallazgos de este documento proporcionan cierta iluminación para el marketing de marca y la gestión de destinos turísticos.

This paper gives a review of the finite element techniques (FE) applied in the area of material processing. The latest trends in metal forming, non‐metal forming, powder metallurgy and composite material processing are briefly discussed. The range of applications of finite elements on these subjects is extremely wide and cannot be presented in a single paper; therefore the aim of the paper is to give FE researchers/users only an encyclopaedic view of the different possibilities that exist today in the various fields mentioned above. An appendix included at the end of the paper presents a bibliography on finite element applications in material processing for 1994‐1996, where 1,370 references are listed. This bibliography is an updating of the paper written by Brannberg and Mackerle which has been published in Engineering Computations, Vol. 11 No. 5, 1994, pp. 413‐55.

The purpose of this paper is to combine the uncertain methods of type-2 fuzzy sets and data envelopment analysis (DEA) evaluation model together. A new type-2 fuzzy DEA efficiency assessment method is established. Then the proposed procedure is applied to the poverty alleviation problem.

The research method is the DEA model, which is an effective method for efficiency assessment of social–economic systems. Considering the existence of the same efficiency values that cannot be ranked in the proposed DEA model, the balance index is introduced to solve the ranking problem of decision-making units effectively.

The results show that the proposed method can not only measure the efficiency of the existence of uncertain information but also deal with the ranking of multiple efficient decision-making units.

This paper selects type-2 fuzzy DEA model to express a lot of uncertain information in efficiency evaluation problems. We use the parameter decomposition method of type-2 fuzzy programming or the type-2 expectation values indirectly. The balance index is proposed to further distinguish the multiple effective decision-making units. Furthermore, this paper selects rural poverty alleviation in Hainan Province as a case study to verify the feasibility of the method. The relative efficiency values in different years are calculated and analyzed.

The purpose of this paper is to advance a novel grey variable dual precision rough set model for grey concept.

To obtain the approximation of a grey object, the authors first define the concepts of grey rough membership degree and grey degree of approximation on the basic thinking logic of variable precision rough set. Based on grey rough membership degree and grey degree of approximation, the authors proposed a grey variable dual precision rough set model. It uses a clear knowledge concept to approximate a grey concept, and the output result is also a clear concept.

The result demonstrates that the proposed model may be closer to the actual decision-making situation, can effectively improve the rationality and scientificity of the approximation and reduce the risk of decision-making. It can effectively achieve the whitenization of grey objects. The model can be degenerated to traditional variable precision rough fuzzy set model, variable precision rough set model and classic Pawlak rough set, when some specific conditions are met.

The method exposed in the paper can be used to solve multi-criteria decision problems with grey decision objects and provide a decision rule. It can also help us better realize knowledge discovery and attribute reduction. It can effectively achieve the whitenization of grey object.

This method proposed in this paper implements a rough approximation of grey decision object and obtains low-risk probabilistic decision rule. It can effectively achieve a certain degree of whitenization of some grey objects.

Grey modeling technique is an important element of grey system theory, and academic articles applied to agricultural science research have been published since 1985, proving the broad applicability and effectiveness of the technique from different aspects and providing a new means to solve agricultural science problems. The analysis of the connotation and trend of the application of grey modeling technique in agricultural science research contributes to the enrichment of grey technique and the development of agricultural science in multiple dimensions.

Based on the relevant literature selected from China National Knowledge Infrastructure, the Web of Science, SpiScholar and other databases in the past 37 years (1985–2021), this paper firstly applied the bibliometric method to quantitatively visualize and systematically analyze the trend of publication, productive author, productive institution, and highly cited literature. Then, the literature is combed by the application of different grey modeling techniques in agricultural science research, and the literature research progress is systematically analyzed.

The results show that grey model technology has broad prospects in the field of agricultural science research. Agricultural universities and research institutes are the main research forces in the application of grey model technology in agricultural science research, and have certain inheritance. The application of grey model technology in agricultural science research has wide applicability and precise practicability.

By analyzing and summarizing the application trend of grey model technology in agricultural science research, the research hotspot, research frontier and valuable research directions of grey model technology in agricultural science research can be more clearly grasped.