scholarly journals New Concepts in Intuitionistic Fuzzy Graph with Application in Water Supplier Systems

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1241 ◽  
Author(s):  
Zehui Shao ◽  
Saeed Kosari ◽  
Hossein Rashmanlou ◽  
Muhammad Shoaib

In recent years, the concept of domination has been the backbone of research activities in graph theory. The application of graphic domination has become widespread in different areas to solve human-life issues, including social media theories, radio channels, commuter train transportation, earth measurement, internet transportation systems, and pharmacy. The purpose of this paper was to generalize the idea of bondage set (BS) and non-bondage set (NBS), bondage number α(G), and non-bondage number αk(G), respectively, in the intuitionistic fuzzy graph (IFG). The BS is based on a strong arc (SA) in the fuzzy graph (FG). In this research, a new definition of SA in connection with the strength of connectivity in IFGs was applied. Additionally, the BS, α(G), NBS, and αk(G) concepts were presented in IFGs. Three different examples were described to show the informative development procedure by applying the idea to IFGs. Considering the examples, some results were developed. Also, the applications were utilized in water supply systems. The present study was conducted to make daily life more useful and productive.

Author(s):  
Yongsheng Rao ◽  
Saeed Kosari ◽  
Zehui Shao ◽  
A. A. Talebi ◽  
A. Mahdavi ◽  
...  

AbstractIt is known that Intuitionistic fuzzy models give more precision, flexibility and compatibility to the system as compared to the classic and fuzzy models. Intuitionistic fuzzy tree has an important role in neural networks, computer networks, and clustering. In the design of a network, it is important to analyze connections between the levels. In addition, the intuitionistic fuzzy tree is becoming increasingly significant as it is applied to different areas in real life. The study proposes the novel concepts of intuitionistic fuzzy graph (IFG) and some basic definitions. We investigate the types of arcs, for example, $$\alpha _{\mu }$$ α μ -strong, $$\beta _{\mu }$$ β μ -strong, and $$\delta _{\mu }$$ δ μ -arc in an intuitionistic fuzzy graph, and introduce some of their properties. In particular, the present work develops the concepts of intuitionistic fuzzy bridge (IFB), intuitionistic fuzzy cut nodes (IFCN) and some important properties of an intuitionistic fuzzy bridge. Next, we define an intuitionistic fuzzy cycle (IFC) and an intuitionistic fuzzy tree (IFT). Likewise, we discuss some properties of the IFT and the relationship between an intuitionistic fuzzy tree and an intuitionistic fuzzy cycle. Finally, an application of intuitionistic fuzzy tree is illustrated in other sciences.


2019 ◽  
Vol 9 (3-4) ◽  
pp. 168-180
Author(s):  
Petr Jemelka

Abstract This text presents an assessment of the literary work of Karel Čapek from a perspective that has not yet been discussed. It focuses on analysing Čapek’s works from the viewpoint of their possible inspiration by bioethical issues. Čapek’s philosophy and the powerful ethical charge of his texts tend to be associated with his interest in pragmatism, a subject to which he, however, took an individual and critical approach. One of the most important categories of his way of thinking is life. In his prose works and plays we therefore see motifs that may be associated with the thematic definition of bioethics. These are questions concerning the value and quality of human life, issues concerning the dehumanizing impact of science and technology, as well as reflections upon the moral dimension of man’s relationship to nature and also to the relationship between people and animals. Čapek’s work may therefore provide inspiration from the perspective of the history of the gradual formation of the bioethical point of view.


2020 ◽  
Vol 19 (11) ◽  
pp. 2116-2135
Author(s):  
G.V. Savin

Subject. The article considers functioning and development of process flows of transportation and logistics system of a smart city. Objectives. The study identifies factors and dependencies of the quality of human life on the organization and management of stream processes. Methods. I perform a comparative analysis of previous studies, taking into account the uniquely designed results, and the econometric analysis. Results. The study builds multiple regression models that are associated with stream processes, highlights interdependent indicators of temporary traffic and pollution that affect the indicator of life quality. However, the identified congestion indicator enables to predict the time spent in traffic jams per year for all participants of stream processes. Conclusions. The introduction of modern intelligent transportation systems as a component of the transportation and logistics system of a smart city does not fully solve the problems of congestion in cities at the current rate of urbanization and motorization. A viable solution is to develop cooperative and autonomous intelligent transportation systems based on the logistics approach. This will ensure control over congestion, the reduction of which will contribute to improving the life quality of people in urban areas.


2021 ◽  
pp. 1-12
Author(s):  
Admi Nazra ◽  
Yudiantri Asdi ◽  
Sisri Wahyuni ◽  
Hafizah Ramadhani ◽  
Zulvera

This paper aims to extend the Interval-valued Intuitionistic Hesitant Fuzzy Set to a Generalized Interval-valued Hesitant Intuitionistic Fuzzy Soft Set (GIVHIFSS). Definition of a GIVHIFSS and some of their operations are defined, and some of their properties are studied. In these GIVHIFSSs, the authors have defined complement, null, and absolute. Soft binary operations like operations union, intersection, a subset are also defined. Here is also verified De Morgan’s laws and the algebraic structure of GIVHIFSSs. Finally, by using the comparison table, a different approach to GIVHIFSS based decision-making is presented.


Water ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 752
Author(s):  
Andreas N. Angelakis ◽  
Heikki S. Vuorinen ◽  
Christos Nikolaidis ◽  
Petri S. Juuti ◽  
Tapio S. Katko ◽  
...  

Since ancient times, the need for healthy water has resulted in the development of various kinds of water supply systems. From early history, civilizations have developed water purification devices and treatment methods. The necessity for fresh water has influenced individual lives as well as communities and societies. During the last two hundred years, intensive and effective efforts have been made internationally for sufficient water quantity and quality. At the same time, human life expectancy has increased all over the globe at unprecedented rates. The present work represents an effort to sketch out how water purity and life expectancy have entangled, thus influencing one another. Water properties and characteristics have directly affected life quality and longevity. The dramatic increase in life expectancy has been, indisputably, affected by the improvement in water quality, but also in other concomitant factors, varying temporally and spatially in different parts of the world throughout the centuries. Water technologies and engineering have an unequivocal role on life expectancy. In some cases, they appear to have taken place earlier than the progress of modern medicine. Among these, improved sanitation, personal hygiene, progress in medicine, and better standards of economic living have played the greatest roles.


Symmetry ◽  
2020 ◽  
Vol 13 (1) ◽  
pp. 53
Author(s):  
Fahad Alsharari

This paper aims to mark out new concepts of r-single valued neutrosophic sets, called r-single valued neutrosophic £-closed and £-open sets. The definition of £-single valued neutrosophic irresolute mapping is provided and its characteristic properties are discussed. Moreover, the concepts of £-single valued neutrosophic extremally disconnected and £-single valued neutrosophic normal spaces are established. As a result, a useful implication diagram between the r-single valued neutrosophic ideal open sets is obtained. Finally, some kinds of separation axioms, namely r-single valued neutrosophic ideal-Ri (r-SVNIRi, for short), where i={0,1,2,3}, and r-single valued neutrosophic ideal-Tj (r-SVNITj, for short), where j={1,2,212,3,4}, are introduced. Some of their characterizations, fundamental properties, and the relations between these notions have been studied.


Numen ◽  
2005 ◽  
Vol 52 (2) ◽  
pp. 226-254
Author(s):  
Daria Pezzoli-Olgiati

AbstractThe present article focuses on the function of mythic journeys with regard to the problem of death and the transience of human life in two selected Mesopotamian literary sources: the Gilgamesh-Epic IX–XI and the Descent of Ishtar to the Underworld. The selected texts are analysed and compared from the perspective of a functionalist definition of religious symbol systems, with particular attention to the transformation involved in travelling through different cosmic regions. The structure of the journey, the characterisation of the different regions visited by the protagonist, and the changes provoked by the mythic travel evince similarities and differences in the strategies employed to produce a religious orientation dealing with the ineluctable limits of life.


2017 ◽  
Vol 23 (3) ◽  
pp. 721-734 ◽  
Author(s):  
Matthias Murawski ◽  
Markus Bick

Purpose Considering working in the digital age, questions on the consequences for the individual workers are, so far, often neglected. The purpose of this paper is to deal with the question of whether the digital competences of the workforce is a research topic. The authors argue for the thesis that it is indeed a research topic. Design/methodology/approach In addition to a literature analysis of the top IS, HR, and learning publications, non-scientific sources, as well as the opinions of the authors, are included. The authors’ thesis is challenged through a debate of corresponding pros and cons. Findings The definition of digital competences lacks scientific depth. Focussing on the workforce is valid, as a “lifelong” perspective is not mandatory for research. Digital competence research is a multidisciplinary task to which the IS field can make a valuable contribution. Research limitations/implications Although relevant references are included, some aspects are mainly driven by the opinions of the authors. The theoretical implications encompass a call for a scientific definition of digital competences. Furthermore, scholars should focus on the competences of the workforce, including occupations, roles, or industries. The authors conclude by providing a first proposal of a research agenda. Practical implications The practical implications include the alignment of multiple stakeholders for the design of “digital” curricula and the integration by HR departments of the construct of digital competences, e.g. for compensation matters and job requirements. Originality/value This paper is one of very few contributions in the area of the digital competences of the workforce, and it presents a starting point for future research activities.


Religions ◽  
2021 ◽  
Vol 12 (2) ◽  
pp. 104
Author(s):  
Eliana Alemán ◽  
José Pérez-Agote

This work aims to show that the sacrificial status of the victims of acts of terrorism, such as the 2004 Madrid train bombings (“11-M”) and ETA (Basque Homeland and Liberty) attacks in Spain, is determined by how it is interpreted by the communities affected and the manner in which it is ritually elaborated a posteriori by society and institutionalised by the state. We also explore the way in which the sacralisation of the victim is used in socially and politically divided societies to establish the limits of the pure and the impure in defining the “Us”, which is a subject of dispute. To demonstrate this, we first describe two traumatic events of particular social and political significance (the case of Miguel Ángel Blanco and the 2004 Madrid train bombings). Secondly, we analyse different manifestations of the institutional discourse regarding victims in Spain, examining their representation in legislation, in public demonstrations by associations of victims of terrorism and in commemorative “performances” staged in Spain. We conclude that in societies such as Spain’s, where there exists a polarisation of the definition of the “Us”, the success of cultural and institutional performances oriented towards reparation of the terrorist trauma is precarious. Consequently, the validity of the post-sacrificial narrative centring on the sacred value of human life is ephemeral and thus fails to displace sacrificial narratives in which particularist definitions of the sacred Us predominate.


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