General expression of knowledge granularity based on a fuzzy relation matrix

Wentao, LI; Wei, Yuli; Xu, Weihua

doi:10.1016/j.fss.2022.01.007

Cited by 21 publications

(4 citation statements)

References 49 publications

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“…[19] argued that in the era of innovation-driven development, With the change of social production methods, civil society entities become the driving force of knowledge production, forming a fourfold innovation knowledge structure, which makes knowledge and knowledge production highlights the significance of civil society. Li, W. [20] used the knowledge granularity of fuzzy relationship matrix to express the average uncertainty in the knowledge structure and through the derivation of biased order relationship based on the simplified knowledge structure, which is in the interdisciplinary basis according to its endogenous logical relationships to achieve integration and create new academic fields with socially constructive new disciplines.…”

Section: Literature Reviewmentioning

confidence: 99%

A Comparative Analysis of Discourse Knowledge Structures in Different Disciplines of Education in Colleges and Universities in the Context of Informatization

Wei

2023

Applied Mathematics and Nonlinear Sciences

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In this paper, we first construct the discourse knowledge structure of education in different disciplines so that the knowledge points in a certain cross-cutting area between different disciplines are finite sets called knowledge domains, and we use the network of the discourse field system to characterize the logical relations in the knowledge space. Secondly, by defining the elements of hypertext as a triadic structure, a specific chain of dependencies is constructed by combining the hypertext structure with the knowledge space. Finally, we conducted a comparative analysis of the knowledge structure of educational discourse in various disciplines. The results show that among 45 knowledge states, 15 attributes corresponding to the whole column have all 0 information values and the knowledge structure model based on the knowledge space can master the corresponding effective skills of students in different disciplines, which indicates that it realizes this learning process of knowledge learning from point to point, from concrete to abstract, and from part to the whole under different disciplines. This paper examines the use of discourse in various knowledge structures, which may provide insights into the teaching of English academic writing in China.

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Section: Literature Reviewmentioning

confidence: 99%

A Comparative Analysis of Discourse Knowledge Structures in Different Disciplines of Education in Colleges and Universities in the Context of Informatization

Wei

2023

Applied Mathematics and Nonlinear Sciences

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“…Fuzziness refers to an objective attribute with no clear boundaries in quantity. Concepts such as 'tight process tolerances' and 'less margins' have certain ambiguities, and it is difficult to quantify them in numbers [28,29]. Also, in the process design, the fuzziness should be considered; the fuzzy factors in the process design should be dealt with through fuzzy mathematics; and the economical and feasible process routes should be formulated to ensure the product accuracy.…”

Section: Model Theorymentioning

confidence: 99%

Research on product process design and optimisation model based on IoT intelligent computing

Yang

2022

Applied Mathematics and Nonlinear Sciences

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In this article, some complex parameters of the product and design processes, how to match and optimise the sub-parts of related industrial products and how to improve the quality of the corresponding products and the competitiveness of the product in the international market are discussed in this article. We also build an algorithm based on the particle swarm and XGBoost algorithms, combined with the intelligent computing of the Internet of Things (IoT). We transform some uncertain factors in the process of the industrial product design process through the fuzzy matrix, select the optimal design through the optimised intelligent computing of the IoT scheme and compare the influence of the scheme before and after optimisation on production efficiency. The results show that the method proposed in this article can reduce the time-consumption of optimal solution selection by 42.85%–52.94%. In addition, selecting the optimal solution for each field in a targeted manner can increase the overall production efficiency of the product by about 5%, reaching between 93.6% and 96.5%, which may save raw materials and create more economic value.

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“…Fuzzy relation not only is an important part of fuzzy set theory but also acts as an essential role in some applied fields, e.g. fuzzy control, artificial intelligence, image processing, decision making, data mining and machine learning [2,17,23,25,27,[30][31][32]40,42,43]. These applications stimulate many researchers to construct different fuzzy relations to satisfy various demands in practice.…”

Section: Introduction 1motivationmentioning

confidence: 99%

Aggregation of I-transitive fuzzy relations and fuzzy preference relations

Li,

Yao

2024

Comp. Appl. Math.

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To make a better application of I-transitive fuzzy relations and fuzzy preference relations in uncertainty reasoning and decision-making according to the practical requirement, it is meaningful to investigates the preservation of well-known properties when some I-transitive and fuzzy preference relations are aggregated, respectively. Therefore, this paper firstly characterize the aggregation functions in order to preserve some properties of I-transitive fuzzy relations. Further, two aggregation functions are constructed to preserve some relevant properties of fuzzy preference relations. Especially, focused on the T -S consistency, we further investigate the retainment of some T -S consistent fuzzy preference relations aggregated.

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General expression of knowledge granularity based on a fuzzy relation matrix

Cited by 21 publications

References 49 publications

A Comparative Analysis of Discourse Knowledge Structures in Different Disciplines of Education in Colleges and Universities in the Context of Informatization

A Comparative Analysis of Discourse Knowledge Structures in Different Disciplines of Education in Colleges and Universities in the Context of Informatization

Research on product process design and optimisation model based on IoT intelligent computing

Aggregation of I-transitive fuzzy relations and fuzzy preference relations

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