Coverage Degree-Based Fuzzy Topological Relationships for Fuzzy Regions

2017 ◽  
pp. 112-123
Author(s):  
Anderson Chaves Carniel ◽  
Markus Schneider
Keyword(s):  
Topological Relationships ◽  
Fuzzy Regions

scholarly journals Animal, Body, Data: Starling Murmurations and the Dynamic of Becoming In-formation

2021 ◽  
pp. 1357034X2199284
Author(s):  
Mickey Vallee
Keyword(s):  
Data Modelling ◽  
Animal Body ◽  
Topological Relationships ◽  
Animal Populations ◽  
Animal Data ◽  
Natural Scientists ◽  
The Relationship ◽  
Affective Relations

The aim of this article is to demonstrate that data modelling is becoming a crucial, if not dominant, vector for our understanding of animal populations and is consequential for how we study the affective relations between individual bodies and the communities to which they belong. It takes up the relationship between animal, body and data, following the datafication of starling murmurations, to explore the topological relationships between nature, culture and science. The case study thus embodies a data journey, invoking the tactics claimed by social or natural scientists, who generated recent discoveries in starling murmurations, including their topological expansions and contractions. The article concludes with thoughts and suggestions for further research on animal/data entanglement, and threads the concept of databodiment throughout, as a necessary dynamic for the formation and maintenance of communities.

scholarly journals Distortion Effects in Equal Area Unit Maps

2021 ◽  
Author(s):  
Jochen Schiewe
Keyword(s):  
Hot Spots ◽  
Extreme Values ◽  
Generation Process ◽  
Equal Area ◽  
Topological Relationships ◽  
Area Unit ◽  
Task Oriented ◽  
Local Topology ◽  
Selection Of ◽  
Local Extreme

AbstractMaps that correctly represent the geographic size and shape of regions, taking into account scaling and generalization, have the disadvantage that small regions can easily be overlooked or not seen at all. Hence, for some map use tasks where small regions are of importance, alternative map types are needed. One option is the so-called equal area unit maps (EAUMs), where every enumeration unit has the same area size, possibly also the same basic shape such as squares or hexagons. The geometrical distortion of EAUMs, however, leads to a more difficult search for regions as well as a falsification of topological relationships and spatial patterns. To describe these distortions, a set of analytical measures is proposed. But it turns out that the expressiveness of these measures is rather limited. To better understand and to model the influence of distortions, two user studies were conducted. The study on the search in EAUMs (also with the aim of reconstruct the search strategies of the users) revealed how important it is to consider the local topology (e.g. corner or border positions of regions) during the generation process. With regard to pattern identification, it could be shown that EAUMs significantly increase the detection rate of local extreme values. On the other hand, global lateral gradients or geostatistical hot spots often get blurred or even lost. As a consequence, a task-oriented selection of map types and further developments are recommended.

scholarly journals Talking About the “Misunderstanding” in the Process of Literary Accepting

2008 ◽  
Vol 2 (2) ◽  
pp. 204
Author(s):  
Xu Junliu
Keyword(s):  
Error Correction ◽  
Literary Work ◽  
Reading Process ◽  
Main Body ◽  
Demarcation Line ◽  
Artistic Value ◽  
Original Meaning ◽  
Reading Text ◽  
Angle Of View ◽  
Fuzzy Regions

The “misunderstanding” in the process of literary accepting refers to the receiver in the reading text process with the creation main body, creation motive, the work implication, as well as between the works artistic value constitutes the situation which “the dialog” in the complex relations produces contradicts. But, in the concrete reading process, the “misunderstanding” may divide in “the error correction” and “instead harms” kind of situations. Although “the error correction” refers to reader's understanding in line with author's creation original meaning which produces contradicts, but the work itself actually has demonstrated reader’s understood connotation, thus causes this kind of the “misunderstanding” seems cuts with actual and persuasiveness. “Instead harms” refers to the reader unconscious determination to carry on the far-fetched cognition and the appraisal to the literary work, including to literary work non-artistic angle of view twisting. “The error correction” should advocate that “instead harms” should deny, this does not dispute. But, “the error correction” and “instead harms” between has certain fuzzy regions, between them the strict demarcation line, some literary work in such time, possibly has not had “the error correction” in such receiver, but in another time, possibly has the different understanding in other receivers, to “instead harms” direction transformation. The “misunderstanding” is the literature accepts the necessity, because just having the “misunderstanding”, the different sound, between the literature mutual exchanges and collides, the literature only then had prosperously, the vigorous development aspect.

scholarly journals A Model of Fuzzy Topological Relations for Simple Spatial Objects in GIS

2015 ◽  
Vol 21 (2) ◽  
pp. 389-408
Author(s):  
BO LIU ◽  
DAJUN LI ◽  
JIAN RUAN ◽  
LIBO ZHANG ◽  
LAN YOU ◽  
...  
Keyword(s):  
Fuzzy Topology ◽  
Topological Relations ◽  
Line Segments ◽  
New Model ◽  
Spatial Objects ◽  
Fuzzy Models ◽  
Fuzzy Topological Space ◽  
Fuzzy Objects ◽  
Fuzzy Regions ◽  
Geographic Information Sciences

The goal of this paper is to present a new model of fuzzy topological relations for simple spatial objects in Geographic Information Sciences (GIS). The concept of computational fuzzy topological space is applied to simple fuzzy objects to efficiently and more accurately solve fuzzy topological relations, extending and improving upon previous research in this area. Firstly, we propose a new definition for simple fuzzy line segments and simple fuzzy regions based on computational fuzzy topology. And then, we also propose a new model to compute fuzzy topological relations between simple spatial objects, an analysis of the new model exposes:(1) the topological relations of two simple crisp objects; (2) the topological relations between one simple crisp object and one simple fuzzy object; (3) the topological relations between two simple fuzzy objects. In the end, we have discussed some examples to demonstrate the validity of the new model, through an experiment and comparisons of existing models, we showed that the proposed method can make finer distinctions, as it is more expressive than the existing fuzzy models.

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