New Concepts of Picture Fuzzy Graphs with Application

Zuo, Cen; Pal, Anita; Dey, Arindam

doi:10.3390/math7050470

Cited by 71 publications

(31 citation statements)

References 37 publications

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“…Finally, an application for evaluating a green building energy-saving design project was provided to confirm the superiority of this novel method, and a comparative analysis between an IF-EDAS method and other methods was also made to further verify the merits of this method. In our future work, an IF-EDAS method may be extended to interval-valued intuitionistic fuzzy sets and extensively applied to different uncertain situations [42][43][44][45] and ambiguous environments [46][47][48][49][50].…”

Section: Discussionmentioning

confidence: 99%

An EDAS Method for Multiple Attribute Group Decision-Making under Intuitionistic Fuzzy Environment and Its Application for Evaluating Green Building Energy-Saving Design Projects

Liang

2020

Symmetry

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Multiple attribute group decision-making (MAGDM) methods have a significant influence on decision-making in a variety of strategic fields, including science, business and real-life studies. The problem of evaluation in green building energy-saving design projects could be regarded as a type of MAGDM problem. The evaluation based on distance from average solution (EDAS) method is one of the MAGDM methods, which simplifies the traditional decision-making process. Symmetry among some attributes that are known and unknown as well as between pure attribute sets and fuzzy attribute membership sets can be an effective way to solve MAGDM problems. In this paper, the classical EDAS method is extended to intuitionistic fuzzy environments to solve some MAGDM issues. First, some concepts of intuitionistic fuzzy sets (IFSs) are briefly reviewed. Then, by integrating the EDAS method with IFSs, we establish an IF-EDAS method to solve the MAGDM issues and present all calculating procedures in detail. Finally, we provide an empirical application for evaluating green building energy-saving design projects to demonstrate this novel method. Some comparative analyses are also made to show the merits of the method.

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Section: Discussionmentioning

confidence: 99%

An EDAS Method for Multiple Attribute Group Decision-Making under Intuitionistic Fuzzy Environment and Its Application for Evaluating Green Building Energy-Saving Design Projects

Liang

2020

Symmetry

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“…Far from the classical notion of crisp belonging, the membership degree of the elements related to fuzzy sets facilitates the consideration of the relations between the individuals intended by the definition of the fuzzy graphs. This tool, very useful to model situations in which there is some vagueness or uncertainty about the representation of the knowledge, has been widely used in many fields [18][19][20]. The consideration of several aggregation functions, particularly the conjunction operators [21] plays an essential role in the definition of the fuzzy graphs, as it is shown below.…”

Section: Definition 1 (Fuzzy Set [17]) a Fuzzy Set A Over The Domainmentioning

confidence: 99%

Community Detection Problem Based on Polarization Measures. An application to Twitter: the COVID-19 case in Spain

García-Pardo¹,

Guevara²,

González³

et al. 2021

Preprint

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In this paper we address one of the most important topics in the field of Social Networks Analysis: the community detection problem with additional information. That additional information is modeled by a fuzzy measure that represents the possibility of polarization. Particularly, we are interested in dealing with the problem of taking into account the Polarization of nodes in the community detection problem. Adding this type of information to the community detection problem makes it more realistic, as a community is more probably to be defined if the corresponding elements are willing to maintain a peaceful dialogue. The polarization capacity is modeled by a fuzzy measure based on the JDJpol measure of polarization related to two poles. We also present an efficient algorithm for finding groups whose elements are no polarized. Hereafter, we work in a real case. It is a network obtained from Twitter, concerning the political position against the Spanish government taken by several influential users. We analyze how the partitions obtained change when some additional information related to how polarized that society is, is added to the problem.

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“…Battle et al [32,33] describe the motivation for GeoSPARQL and the implementation of GeoSPARQL. In order to better manage fuzzy data, Zuo et al [34] introduce a picture fuzzy graph based on a picture fuzzy relation, and describe the utility of the picture fuzzy graph. Ma et al [35] put forward a fuzzy RDF model.…”

Section: Algebra Of Rdf Graphsmentioning

confidence: 99%

Algebraic Operations on Spatiotemporal Data Based on RDF

Zhu¹,

Li²,

Bai³

2020

IJGI

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In the context of the Semantic Web, the Resource Description Framework (RDF), a language proposed by W3C, has been used for conceptual description, data modeling, and data querying. The algebraic approach has been proven to be an effective way to process queries, and algebraic operations in RDF have been investigated extensively. However, the study of spatiotemporal RDF algebra has just started and still needs further attention. This paper aims to explore an algebraic operational framework to represent the content of spatiotemporal data and support RDF graphs. To accomplish our study, we defined a spatiotemporal data model based on RDF. On this basis, the spatiotemporal semantics and the spatiotemporal algebraic operations were investigated. We defined five types of graph algebras, and, in particular, the filter operation can filter the spatiotemporal graphs using a graph pattern. Besides this, we put forward a spatiotemporal RDF syntax specification to help users browse, query, and reason with spatiotemporal RDF graphs. The syntax specification illustrates the filter rules, which contribute to capturing the spatiotemporal RDF semantics and provide a number of advanced functions for building data queries.

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New Concepts of Picture Fuzzy Graphs with Application

Cited by 71 publications

References 37 publications

An EDAS Method for Multiple Attribute Group Decision-Making under Intuitionistic Fuzzy Environment and Its Application for Evaluating Green Building Energy-Saving Design Projects

An EDAS Method for Multiple Attribute Group Decision-Making under Intuitionistic Fuzzy Environment and Its Application for Evaluating Green Building Energy-Saving Design Projects

Community Detection Problem Based on Polarization Measures. An application to Twitter: the COVID-19 case in Spain

Algebraic Operations on Spatiotemporal Data Based on RDF

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