Ordered semigroups characterized by (ϵ ϵ vqk)-fuzzy generalized bi-ideals

In this paper, we introduce a considerable machinery that permits us to characterize a number of special (fuzzy) subsets in ordered semigroups. In this regard, we generalize (Davvaz and Khan in Inform Sci 181:1759-1770 2011) and define (is an element of, is an element of boolean (ϵ ϵ vqk)-fuzzy generalized bi-ideals in ordered semigroups, which is a generalization of the concept of an (alpha, beta)-fuzzy generalized bi-ideal in an ordered semi-group. We also define (is an element of, is an element of boolean (ϵ ϵ vqk)-fuzzy left (resp. right)ideals. Using these concept, some characterization theorems of regular, left (resp. right) regular, completely regular and weakly regular ordered semigroups are provided. The upper/lower parts of an (is an element of, is an element of boolean (ϵ ϵ vqk)-fuzzy generalized bi-ideal and (is an element of, is an element of boolean (ϵ ϵ vqk)-fuzzy left (resp. right)-ideal are given, and some characterizations are provided

An integrative workflow to study large-scale biochemical networks

I propose an integrative workflow to study large-scale biochemical networks by combining omics data, network structure and dynamical analysis to unravel disease mechanisms. Using the workflow, I identified core regulatory networks from the E2F1 network underlying EMT in bladder and breast cancer and detected disease signatures and drug targets, which were experimentally validated. Further, I developed a hybrid modeling framework that combines ODE- with logical-models to analyze the dynamics of large-scale non-linear systems. This thesis is a contribution to interdisciplinary cancer research

A new classification of hemirings through double-framed soft h-ideals

Due to lack of parameterization, various ordinary uncertainty theories like theory of fuzzy sets, and theory of probability cannot solve complicated problems of economics and engineering involving uncertainties. The aim of the present paper was to provide an appropriate mathematical tool for solving such type of complicated problems. For the said purpose, the notion of double-framed soft sets in hemirings is introduced. As h-ideals of hemirings play a central role in the structural theory, therefore, we developed a new type of subsystem of hemirings. Double-framed soft left (right) h-ideal, double-framed soft h-bi-ideals and double-framed soft h-quasi-ideals of hemiring are determined. These concepts are elaborated through suitable examples. Furthermore, we are bridging ordinary h-ideals and double-framed soft h-ideals of hemirings through double-framed soft including sets and characteristic double-framed soft functions. It is also shown that every double-framed soft h-quasi-ideal is double-framed soft h-bi-ideal but the converse inclusion does not hold. A well-known class of hemrings i.e. h-hemiregular hemirings is characterized by the properties of these newly developed double-framed soft h-ideals o

CHARACTERIZATION OF ORDERED SEMIGROUPS BASED 0N (|;qk)-QUASI-COINCIDENT WITH RELATION

Based on generalized quasi-coincident with relation, new types of fuzzy bi-ideals of an ordered semigroup S are introduced. Level subset and characteristic functions are used to linked ordinary bi-ideals and (2;2_(|;qk))fuzzy bi-ideals of an ordered semigroup S: Further, upper/lower parts of (2;2 _(|;qk))-fuzzy bi-ideals of S are determined. Finally, some well known classes of ordered semigroups like regular, left (resp. right) regular and completely regular ordered semigroups are characterized by the properties of (2;2_(|;qk))-fuzzy bi-ideals

Bi-ideals of ordered semigroups based on the interval-valued fuzzy point

Interval-valued fuzzy set theory (advanced generalization of Zadeh’s fuzzy sets) is a more generalized theory that can deal with real world problems more precisely than ordinary fuzzy set theory. In this paper, we introduce the notion of generalized quasi-coincident with (q(Formula Presented)) relation of an interval-valued fuzzy point with an interval-valued fuzzy set. In fact, this new concept is a more generalized form of quasi-coincident with relation of an interval-valued fuzzy point with an interval-valued fuzzy set. Applying this newly defined idea, the notion of an interval-valued (∈,∈vq(Formula Presented)) -fuzzy bi-ideal is introduced. Moreover, some characterizations of interval-valued (∈,∈vq(Formula Presented)) -fuzzy bi-ideals are described. It is shown that an interval-valued (∈,∈vq(Formula Presented)) -fuzzy bi-ideal is an interval-valued fuzzy bi-ideal by imposing a condition on interval-valued fuzzy subset. Finally, the concept of implication-based interval-valued fuzzy bi-ideals, characterizations of an interval-valued fuzzy bi-ideal and an interval-valued (∈,∈vq(Formula Presented)) - fuzzy bi-ideal are considered

Sinus of valsalva aneurysm rupturing into main pulmonary artery: A rare paediatric cardiac emergency

Congenital Sinus of Valsalva aneurysm is a rare congenital cardiac disease. Most common site of origin is the right sinus. It ruptures into right ventricle or right atrium most of the times. Only in less than 2% of the cases it ruptures into the pulmonary artery. We report a rare case of right sinus of valsalva aneurysm rupturing into pulmonary artery

Technical Advances in Chloroplast Biotechnology

Chloroplasts are highly organized cellular organelles after master organelle nucleus. They not only play a central role in photosynthesis but are also involved in several crucial cellular activities. Advancements in molecular biology and transgenic technology have further groomed importance of the organelle, and they are the most ideal ones for the expression of transgene. No doubt, limitations are there, but still research is advancing to resolve those. Certain valuable traits have been engineered for improved agronomic performance of crop plants. Industrial enzymes and therapeutic proteins have been expressed using plastid transformation system. Synthetic biology has been explored to play a key role in engineering metabolic pathways. Further, producing dsRNA in a plant’s chloroplast rather than in its cellular cytoplasm is more effective way to address desired traits. In this chapter, we highlight technological advancements in chloroplast biotechnology and its implication to develop biosafe engineered plants

Sensitivity and specificity of CT scan in small bowel obstruction among children

Objective: To determine the sensitivity and specificity of computed tomography scan for diagnosing small bowel obstruction among children.Methods: The retrospective diagnostic test accuracy study was carried out at the Aga Khan University Hospital, Karachi, and comprised data of all patients aged 2-16 years who presented with clinical features of small bowel obstruction and underwent computed tomography scan of abdomen from January 2001 to December 2015Data was analyzed using SPSS19.Results: Of the 98 subjects, 65(66.0%) were males and 33(34.0%) were females. Overall mean age of the patients was 7.67±4.33 years and mean duration of symptoms was 2.84±1.17 days. Sensitivity, specificity, positive and negative predictive values as well as accuracy of computed tomography scan was 97.4%, 81.8%, 94.9%, 90.0% and 93.9% respectively.Conclusions: CT scan was found to have a high sensitivity, fairly good specificity and accuracy in revealing small bowel obstruction. However, the scan is known to have its limitations in sub-acute intestinal obstruction and primary peritoniti

Management and Complications of Arnold Chiari Hydrocephalus at Tertiary Health Care Center

Objective: to investigate the role of CT and MRI in diagnosis of Arnold chiari malformation of hydrocephalus and its treatment with VP shunt along with complications. Study Design: Prospective study Place and duration: Department of Neurosurgery, DG Khan Medical College from May 4, 2018 to May 4, 2019. Methodology: Fifty patients of congenital hydrocephalus who were not treated previously were selected. Detailed history about disease and clinical examination of patients was performed. Follow ups were done at neurosurgery OPD. SPSS software for data analysis was used and mean ± SD, frequency and percentages were calculated for variables. P value ≤0.05 was considered as significant. Results: Treatment in case of congenital hydrocephalus as VP shunt, intra-aneurysmal coiling, excision of meningomyelocele with VP shunt and suboccipital craniectomy + upper cervical laminectomy (scucl) were observed as 10%, 6%, 8% and 8% respectively.  Twelve percent of patients were not treated. Conclusion: CT and MRI are the main diagnostic tools for diagnosis of Arnold chiari malformation and VP shunt is the treatment of choice. Among complications of VP shunt infection of shunt and shunt block are the main complications

A Benchmark Similarity Measures for Fermatean Fuzzy Sets

In this paper, we utilized triangular conorms (S-norm). The essence of using S-norm is that the similarity order does not change using different norms. In fact, we are investigating for a new conception for calculating the similarity of two Fermatean fuzzy sets. For this purpose, utilizing an S-norm, we first present a formula for calculating the similarity of two Fermatean fuzzy values, so that they are truthful in similarity properties. Following that, we generalize a formula for calculating the similarity of the two Fermatean fuzzy sets which prove truthful in similarity conditions. Finally, various numerical examples have been presented to elaborate this method