scholarly journals Soft Set Theory Applied to Hoops

2020 ◽  
Vol 28 (1) ◽  
pp. 61-79
Author(s):  
R. A. Borzooei ◽  
E. Babaei ◽  
Y. B. Jun ◽  
M. Aaly Kologani ◽  
M. Mohseni Takallo
Keyword(s):  
Set Theory ◽  
Congruence Relation ◽  
Heyting Algebra ◽  
Soft Set ◽  
The Family ◽  
Different Types

AbstractIn this paper, we introduced the concept of a soft hoop and we investigated some of their properties. Then, we established different types of intersections and unions of the family of soft hoops. We defined two operations ⊙ and → on the set of all soft hoops and we proved that with these operations, it is a hoop and also is a Heyting algebra. Finally we introduced a congruence relation on the set of all soft hoops and we investigated the quotient of it.

scholarly journals A Real Time Application of Soft Set in Parameterization Reduction for Decision Making Problem

2017 ◽  
Vol 7 (1) ◽  
pp. 324 ◽  
Author(s):  
Janmejay Pant ◽  
Amit Juyal ◽  
Himanshu Pant ◽  
Akhilesh Dwivedi
Keyword(s):  
Set Theory ◽  
Rough Set ◽  
Information Science ◽  
Soft Set ◽  
Data Uncertainty ◽  
Data Set ◽  
Decision Making Problem ◽  
Sample Data ◽  
Different Types ◽  
Real Time Application

In each and every field of science and technology Information science plays an important role. Sometimes information science is facing different types of problems to handle the data and information. Data Uncertainty is one of the challenging difficulties to handle. In past, there are several theories like fuzzy set, Rough set, Probability etc.to dealing with uncertainty. Soft set theory is the youngest theory to deal with uncertainty. In this paper we discussed how to find reducts. This paper focuses on how we can transform a sample data set to binary valued information system. We are also going to reduce the dimension of data set by using the binary valued information that results a better decision.

The Arabic Origins of English and Indo-European “Definite Articles”: A Radical Linguistic Theory Approach

2016 ◽  
Vol 4 (6) ◽  
pp. 26
Author(s):  
Zaidan Ali Jassem
Keyword(s):  
Comparative Method ◽  
Linguistic Theory ◽  
General Level ◽  
Theory Approach ◽  
Tree Model ◽  
Linguistic Change ◽  
European Languages ◽  
The Family ◽  
Different Types ◽  
Definite Articles

This paper traces the Arabic origins or cognates of the “definite articles” in English and Indo-European languages from a radical linguistic (or lexical root) theory perspective. The data comprises the definite articles in English, German, French, Spanish, Portuguese, Italian, Romanian, Latin, Greek, Macedonian, Russian, Polish, Sanskrit, Hindi, Bengali, Persian, and Arabic. The results clearly indicate that five different types of such articles emerged in the data, all of which have true Arabic cognates with the same or similar forms and meanings, whose differences are due to natural and plausible causes and different routes of linguistic change, especially lexical, semantic, or morphological shift. Therefore, the results support the adequacy of the radical linguistic theory according to which, unlike the Family Tree Model or Comparative Method, Arabic, English, German, French, Latin, Greek, and Sanskrit not only belong to the same language family, renamed Eurabian or Urban family, but also are dialects of the same language, with Arabic being their origin all because only it shares the whole cognates with them all and because it has a huge phonetic, morphological, grammatical, and lexical variety. They also manifest fundamental flaws and grave drawbacks which plague English and Indo-European lexicography for ignoring Arabic as an ultimate ancestor and progenitor not only in the treatment of the topic at hand but in all others in general. On a more general level, they also show that there is a radical language from which all human languages stemmed and which has been preserved almost intact in Arabic, thus being the most conservative and productive language

scholarly journals Hybrid structures applied to ideals in near-rings

2021 ◽  
Author(s):  
B. Elavarasan ◽  
G. Muhiuddin ◽  
K. Porselvi ◽  
Y. B. Jun
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Real World ◽  
Rough Set Theory ◽  
Wide Spectrum ◽  
Hybrid Structure ◽  
Soft Set ◽  
Hybrid Structures ◽  
Classical Mathematics ◽  
Classical Means

AbstractHuman endeavours span a wide spectrum of activities which includes solving fascinating problems in the realms of engineering, arts, sciences, medical sciences, social sciences, economics and environment. To solve these problems, classical mathematics methods are insufficient. The real-world problems involve many uncertainties making them difficult to solve by classical means. The researchers world over have established new mathematical theories such as fuzzy set theory and rough set theory in order to model the uncertainties that appear in various fields mentioned above. In the recent days, soft set theory has been developed which offers a novel way of solving real world issues as the issue of setting the membership function does not arise. This comes handy in solving numerous problems and many advancements are being made now-a-days. Jun introduced hybrid structure utilizing the ideas of a fuzzy set and a soft set. It is to be noted that hybrid structures are a speculation of soft set and fuzzy set. In the present work, the notion of hybrid ideals of a near-ring is introduced. Significant work has been carried out to investigate a portion of their significant properties. These notions are characterized and their relations are established furthermore. For a hybrid left (resp., right) ideal, different left (resp., right) ideal structures of near-rings are constructed. Efforts have been undertaken to display the relations between the hybrid product and hybrid intersection. Finally, results based on homomorphic hybrid preimage of a hybrid left (resp., right) ideals are proved.

scholarly journals Comparison of viromes in vaginal secretion from pregnant women with and without vaginitis

2021 ◽  
Vol 18 (1) ◽  
Author(s):  
He-Teng Zhang ◽  
Hao Wang ◽  
Hai-Sheng Wu ◽  
Jian Zeng ◽  
Yan Yang
Keyword(s):  
Human Papillomavirus ◽  
Bacterial Community ◽  
Pregnant Women ◽  
Sequence Comparison ◽  
Pairwise Sequence Comparison ◽  
Vaginal Secretion ◽  
The Family ◽  
Complete Genomes ◽  
Different Types ◽  
Vaginal Tract

Abstract Background Although some studies have investigated the bacterial community in vaginal tract of pregnant women, there are few reports about the viral community (virome) in this type of microenvironment. Methods To investigate the composition of virome in vaginal secretion samples, 40 vaginal secretion samples from pregnant women with vaginitis and 20 vaginal secretion samples from pregnant women without vaginitis, pooled into 4 and 2 sample pools, respectively, were subjected to viral metagenomic analysis. Results Results indicated virus sequences showing similarity to human papillomavirus (HPV), anellovirus, and norovirus were recovered from this cohort of pregnant women. Further analysis indicated that 15 different defined types and one unclassified type of HPV were detected from pregnant women with vaginitis while only 3 defined types of HPV were detected in pregnant women without vaginitis. Five different groups of viruses from the family Anelloviridae were present in pregnant women with but none of them were detected in pregnant women without vaginitis. Norovirus was detected in 3 out of the 4 sample pools from pregnant women with vaginitis but none in the pregnant women without vaginitis. Twelve complete genomes belonging to 10 different types of HPV, and 5 novel anllovirus genomes belonging 2 different genera in Anelloviridae were acquired from these libraries, based on which phylogenetical analysis and pairwise sequence comparison were performed. Phageome in these samples was also briefly characterized and compared between two groups. Conclusion Our data suggested that virome might play an important role in the progression of vaginitis in pregnant women.

On soft set-valued maps and integral inclusions

2021 ◽  
pp. 1-15
Author(s):  
Monairah Alansari ◽  
Shehu Shagari Mohammed ◽  
Akbar Azam
Keyword(s):  
Fixed Point ◽  
Set Theory ◽  
Fuzzy Set Theory ◽  
Fixed Point Theorems ◽  
Soft Set ◽  
Mathematical Tool ◽  
Multivalued Maps ◽  
Soft Sets ◽  
Special Cases ◽  
New Development

As an improvement of fuzzy set theory, the notion of soft set was initiated as a general mathematical tool for handling phenomena with nonstatistical uncertainties. Recently, a novel idea of set-valued maps whose range set lies in a family of soft sets was inaugurated as a significant refinement of fuzzy mappings and classical multifunctions as well as their corresponding fixed point theorems. Following this new development, in this paper, the concepts of e-continuity and E-continuity of soft set-valued maps and αe-admissibility for a pair of such maps are introduced. Thereafter, we present some generalized quasi-contractions and prove the existence of e-soft fixed points of a pair of the newly defined non-crisp multivalued maps. The hypotheses and usability of these results are supported by nontrivial examples and applications to a system of integral inclusions. The established concepts herein complement several fixed point theorems in the framework of point-to-set-valued maps in the comparable literature. A few of these special cases of our results are highlighted and discussed.

scholarly journals 431 - DEMENTIA IN PRIMARY CARE AND DOCTOR-PATIENT-CARER INTERACTIONS: PRELIMINARY FINDINGS

2020 ◽  
Vol 32 (S1) ◽  
pp. 147-147
Author(s):  
Conceição Balsinha ◽  
Steve Iliffe ◽  
Sónia Dias ◽  
Manuel Gonçalves-Pereira
Keyword(s):  
Primary Care ◽  
Family Carer ◽  
Family Carers ◽  
Medical Encounter ◽  
Triadic Interactions ◽  
Patient Interactions ◽  
The Family ◽  
Different Types ◽  
Third Person ◽  
Ongoing Project

INTRODUCTION: Primary care visits of persons with dementia involve different types of communication, bringing together the patient, the family carer and the general practitioner (GP). A particular challenge is the necessary involvement of a third person (the carer) in patient-doctor encounters (or the patient in carer-doctor encounters, as dementia advances). These triad dynamics should be better understood, as health outcomes are expected to result from or be mediated by them.OBJECTIVE: Our aim is to explore triadic dynamics in Portuguese primary care consultations with persons with dementia, their family carers and GPs.METHODS: This is the first part of an ongoing project (Dementia in Primary Care: the Patient, the Carer and the Doctor in the Medical Encounter - Bayer Investigation Grant | NOVAsaúde Ageing 2018). Consultations with persons with dementia, their carers and GPs (purposive sampling) are audio-recorded, transcribed verbatim and thematically analysed. We report the analysis of interactions of the first six consultations, using NVIVO® software.RESULTS: The most frequent type of interaction was between GPs and carers, followed by interactions involving the whole triad. The patients who had more recent relationships with their GPs tended to participate less, irrespective of the stage of dementia. Carers were the ones most often initiating triadic interactions, and GPs the ones most often terminating them by directly addressing the patients. Doctor-carers interactions were very sparse in some consultations.DISCUSSION AND CONCLUSION: These preliminary findings suggest that doctor-patient interactions may be limited in a number of GPs’ consultations, seemingly compromising patient-centred approaches. Nevertheless, even when GPs were involved in triadic interactions they often tried to address the patient directly. We are looking forward to complete this part of the project: to our knowledge, there is practically no evidence from live-recorded primary care consultations about these triadic dynamics.

Disability in Schizophrenic Disorders

2009 ◽  
Vol 24 (S1) ◽  
pp. 1-1
Author(s):  
J. Wancata ◽  
M. Freidl ◽  
F. Friedrich ◽  
T. Matschnig ◽  
A. Unger ◽  
...  
Keyword(s):  
Hospital Admissions ◽  
Social Consequences ◽  
Subjective Burden ◽  
Social Contacts ◽  
Mothers And Fathers ◽  
Duration Of Illness ◽  
The Family ◽  
Different Types ◽  
Icd 10 ◽  
The Mean

Aims:The purpose of this study was to investigate disability among patients suffering from schizophrenia and to identify predictors of disability.Methods:101 patients from different types of psychiatric services in Vienna and diagnosed with schizophrenia according to ICD-10 were included. They were investigates by means of 36-Item self-administered version of the WHO Disability Assessment Schedule II (WHO-DAS-II) and the PANSS-scale. Patients’ mothers and fathers were asked to fill in the Family Problem Questionnaire.Results:The mean total score of the WHO-DAS-II was 74.1 (SD 21.9). When using weighted sub-scores the highest disability scores were found for social contacts, participation in society and household (means 2.58, 2.57 and 2.51 respectively). Using logistic regression, overall disability was positively associated with patient's age, overall severity of symptoms (PANSS) and number of previous hospital admissions. Overall disability was not associated with duration of illness and or patient's gender. The subjective burden experienced by patients’ fathers and mothers were increased by reduced social contacts and impaired participation in society, while we could not find an association with other domains of patient's disability (understanding, mobility, self-care, household).Conclusions:This study shows that schizophrenia results in disability in several domains. Family caregivers’ burden was predominantly increased by social consequences of schizophrenia.

scholarly journals A New Extended Soft Intersection Set toM,N-SIImplicative Fitters ofBL-Algebras

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Jianming Zhan ◽  
Qi Liu ◽  
Hee Sik Kim
Keyword(s):  
Set Theory ◽  
Soft Set ◽  
Mathematical Framework ◽  
Boolean Filters

Molodtsov’s soft set theory provides a general mathematical framework for dealing with uncertainty. The concepts of(M,N)-SIimplicative (Boolean) filters ofBL-algebras are introduced. Some good examples are explored. The relationships between(M,N)-SIfilters and(M,N)-SIimplicative filters are discussed. Some properties of(M,N)-SIimplicative (Boolean) filters are investigated. In particular, we show that(M,N)-SIimplicative filters and(M,N)-SIBoolean filters are equivalent.

Soft Set-Based Switching Faults Decision Making in DTC Induction Motor Drives

2014 ◽  
Vol 24 (02) ◽  
pp. 1550021 ◽  
Author(s):  
Veli Türkmenoğlu ◽  
Mustafa Aktaş ◽  
Serkan Karataş ◽  
Halil İbrahim Okumuş
Keyword(s):  
Decision Making ◽  
Fault Detection ◽  
Induction Motor ◽  
Set Theory ◽  
Wavelet Decomposition ◽  
Motor Drives ◽  
Soft Set ◽  
Fault Detection And Diagnosis ◽  
Induction Motor Drives ◽  
Detection Mechanism

This paper introduces a method for detection and identification of IGBT-based drive open-circuit fault of DTC induction motor drives. The detection mechanism is based on soft set theory and wavelet decomposition, if it is detailed, ⊼-product decision making method and sym2 wavelet decomposition have been used in the detection mechanism. In this method, the stator currents have been used as an input to the system. The stator current has been used for the detection of the fault. The signal analysis has been performed up to the six level details wavelets decomposition. Faulty switch is detected by applying soft set theory to sixth level wavelets transformation. This is the first time applied to inverter in induction motor drives fault detection. The results demonstrate that the proposed fault detection and diagnosis system has very good capabilities.

Sign in / Sign up

Export Citation Format

Share Document