scholarly journals Metric Dimension in fuzzy(neutrosophic) Graphs-VI

Author(s):  
Henry Garrett

New notion of dimension as set, as two optimal numbers including metric number, dimension number and as optimal set are introduced in individual framework and in formation of family. Behaviors of twin and antipodal are explored in fuzzy(neutrosophic) graphs. Fuzzy(neutrosophic) graphs, under conditions, fixed-edges, fixed-vertex and strong fixed-vertex are studied. Some classes as path, cycle, complete, strong, t-partite, bipartite, star and wheel in the formation of individual case and in the case, they form a family are studied in the term of dimension. Fuzzification(neutrosofication) of twin vertices but using crisp concept of antipodal vertices are another approaches of this study. Thus defining two notions concerning vertices which one of them is fuzzy(neutrosophic) titled twin and another is crisp titled antipodal to study the behaviors of cycles which are partitioned into even and odd, are concluded. Classes of cycles according to antipodal vertices are divided into two classes as even and odd. Parity of the number of edges in cycle causes to have two subsections under the section is entitled to antipodal vertices. In this study, the term dimension is introduced on fuzzy(neutrosophic) graphs. The locations of objects by a set of some junctions which have distinct distance from any couple of objects out of the set, are determined. Thus it’s possible to have the locations of objects outside of this set by assigning partial number to any objects. The classes of these specific graphs are chosen to obtain some results based on dimension. The types of crisp notions and fuzzy(neutrosophic) notions are used to make sense about the material of this study and the outline of this study uses some new notions which are crisp and fuzzy(neutrosophic).

Author(s):  
Henry Garrett

New notion of dimension as set, as two optimal numbers including metric number, dimension number and as optimal set are introduced in individual framework and in formation of family. Behaviors of twin and antipodal are explored in fuzzy(neutrosophic) graphs. Fuzzy(neutrosophic) graphs, under conditions, fixed-edges, fixed-vertex and strong fixed-vertex are studied. Some classes as path, cycle, complete, strong, t-partite, bipartite, star and wheel in the formation of individual case and in the case, they form a family are studied in the term of dimension. Fuzzification(neutrosofication) of twin vertices but using crisp concept of antipodal vertices are another approaches of this study. Thus defining two notions concerning vertices which one of them is fuzzy(neutrosophic) titled twin and another is crisp titled antipodal to study the behaviors of cycles which are partitioned into even and odd, are concluded. Classes of cycles according to antipodal vertices are divided into two classes as even and odd. Parity of the number of edges in cycle causes to have two subsections under the section is entitled to antipodal vertices. In this study, the term dimension is introduced on fuzzy(neutrosophic) graphs. The locations of objects by a set of some junctions which have distinct distance from any couple of objects out of the set, are determined. Thus it’s possible to have the locations of objects outside of this set by assigning partial number to any objects. The classes of these specific graphs are chosen to obtain some results based on dimension. The types of crisp notions and fuzzy(neutrosophic) notions are used to make sense about the material of this study and the outline of this study uses some new notions which are crisp and fuzzy(neutrosophic). Some questions and problems are posed concerning ways to do further studies on this topic. Basic familiarities with fuzzy(neutrosophic) graph theory and graph theory are proposed for this article.


2017 ◽  
Vol 22 (1) ◽  
pp. 11-16
Author(s):  
Joel Weddington ◽  
Charles N. Brooks ◽  
Mark Melhorn ◽  
Christopher R. Brigham

Abstract In most cases of shoulder injury at work, causation analysis is not clear-cut and requires detailed, thoughtful, and time-consuming causation analysis; traditionally, physicians have approached this in a cursory manner, often presenting their findings as an opinion. An established method of causation analysis using six steps is outlined in the American College of Occupational and Environmental Medicine Guidelines and in the AMA Guides to the Evaluation of Disease and Injury Causation, Second Edition, as follows: 1) collect evidence of disease; 2) collect epidemiological data; 3) collect evidence of exposure; 4) collect other relevant factors; 5) evaluate the validity of the evidence; and 6) write a report with evaluation and conclusions. Evaluators also should recognize that thresholds for causation vary by state and are based on specific statutes or case law. Three cases illustrate evidence-based causation analysis using the six steps and illustrate how examiners can form well-founded opinions about whether a given condition is work related, nonoccupational, or some combination of these. An evaluator's causal conclusions should be rational, should be consistent with the facts of the individual case and medical literature, and should cite pertinent references. The opinion should be stated “to a reasonable degree of medical probability,” on a “more-probable-than-not” basis, or using a suitable phrase that meets the legal threshold in the applicable jurisdiction.


Author(s):  
Mohammad M. Al-Qattan ◽  
Nada G. AlQadri ◽  
Ghada AlHayaza

Abstract Introduction Herpetic whitlows in infants are rare. Previous authors only reported individual case reports. We present a case series of six infants. Materials and Methods This is a retrospective study of six cases of herpetic whitlows in infants seen by the senior author (MMA) over the past 23 years (1995–2017 inclusive). The following data were collected: age, sex, digit involved in the hand, mode of transmission, time of presentation to the author, clinical appearance, presence of secondary bacterial infection, presence of other lesions outside the hand, method of diagnosis, treatment, and outcome. Results All six infants initially presented with classic multiple vesicles of the digital pulp. In all cases, there was a history of active herpes labialis in the mother. Incision and drainage or deroofing of the vesicles (for diagnostic purposes) resulted in secondary bacterial infection. Conclusion The current report is the first series in the literature on herpetic whitlows in infants. We stress on the mode of transmission (from the mother) and establishing the diagnosis clinically. In these cases, no need for obtaining viral cultures or polymerase chain reaction; and no medications are required. Once the vesicles are disrupted, secondary bacterial infection is frequent and a combination of oral acyclovir and intravenous antibiotics will be required.


Author(s):  
Lyudmila Luchenok ◽  
Aleksandr Yuzupanov
Keyword(s):  

The data on the yield of lucerne (Medicago falcate) when cultivated on agro-peat soils in the conditions of southern Belarus was presented. It has been established that the yield of green mass in 4 years of life averaged 422.9 centner per ha at sowing under cover and 472.4 centner per ha at bloodless sowing. Productivity — 57.7 and 68.2 centner feed units ha–1 respectively. A small level of response to the application of various technological techniques was noted.


Author(s):  
Ekaterina Galkina ◽  

The problem of the study is that it is not sufficiently studied what psychological barriers people face at the initial stage of professional activity as self-employed. The aim of the study is to study the features of psychological barriers at the initial stage of professional activity of self-employed people. Research hypothesis: at the initial stage of professional activity as self-employed people face psychological barriers in the organizational and creative areas of entrepreneurial activity. The problem of psychological barriers was considered in their works by S. Rubinstein, N. Podymov, I. Pavlov, R. Shakurov and others. The article formulates particular definitions of the main concepts. Methodology: analysis of an individual case using interviews with processing in the framework of interpretive phenomenology. Respondent: female, 34 years old, self-employed as a psychologist for 1 year. Results: psychological barrier of accepting financial responsibility, barrier of adherence to a certain professional culture, barrier of competence in the profession. Certain psychological barriers can arise in connection with certain underlying medical conditions. The conclusions are that psychological barriers are a complex mental education, can be overcome in stages, and motivation of the subject is important for overcoming barriers.


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