New Topology on Symmetrized Omega Algebra

The purpose of this paper is to define a new topology called symmetrized omega algebra topology and discuss some of its topological properties. Two different examples from an ordered infinite set of symmetrized omega topology are introduced. Furthermore, we study the relationship between symmetrized omega topology and weaker kinds of normality

Construction of new Lie group and its geometric properties

In this paper, we constructed a novel Lie group by using oblate spheroidal coordinates. First, we took the metric tensor of oblate spheroidal coordinates, then found its Killing vectors by using the Killing equation. After solving a system of partial differential equations, we obtained the Killing vectors. With the help of these Killing vectors, we first constructed finite Lie algebra and then proved that Killing vectors form a Lie group. Also, we described the geometric properties in which this Lie group forms a regular surface, defined the differential map and differential of normal vector field, and found the gaussian and mean curvatures

Multidisciplinary Collaboration In Emergency Medical Services

Healthcare is the delivery of care and service to the patient; therefore, it is important to relate this care delivery and/or service to patient outcomes. Outcomes can be seen from two perspectives: positive, in which the service/care provided resulted in improvement to the patient\u27s well-being, and negative, in which the service/care provided did not meet the patient\u27s needs and requirements, resulting in no improvement or a deterioration in the patient\u27s well-being. The latter is often referred to as an adverse event, and its impact can be both short-term (through exacerbation of a condition or further injury) and long-term (in which the patient\u27s confidence and trust in the healthcare system have been affected). High-quality patient care is our goal, and an improvement in patient outcomes is what we aim to achieve. The very model of EMS in the UK is multi-disciplinary, consisting of different professions in primary and secondary care. A profession can be defined as a vocation founded on specialized educational training. The purpose of the profession is to apply the training and knowledge to an area of need, and it has a code of ethics for its members. The current modernization of the NHS, with changes in the role of primary care, has blurred the boundaries of professional practice. Some professions in EMS are autonomous in nature, with direct access to patients and their diagnosis and treatment. An example of this would be a paramedic. Others may have a dependent role with indirect patient contact. An example of this would be a veterinary nurse working in the helo-vet service. Each profession has its own professional identity and values, and there is potential scope for adverse outcomes if conflict with patient management and/or need occurs between professions. With today\u27s focus on inter-professional care between professions and patient healthcare having a direct relationship to professional practice, now is the time to examine multi-disciplinary interventions between professions in EMS and their impact on patient care and outcomes. Emergency medical services (EMS) are an essential part of any healthcare system. Efficient and timely patient care is paramount at the scene of a medical or trauma incident, and in many cases, the quality of patient outcomes depends on the speed and efficiency with which care is delivered. This paper will focus on the different elements and complex relationships that occur between the primary services (ambulance, helo-vet, and first response) and the potential impact that these can have on the overall patient care and outcome. By the very nature of their jobs, healthcare is a collaboration between professionals from a wide variety of disciplines, each of whom brings a different body of knowledge and perspective to the care of the patient. The complexity of healthcare needs often surpasses the skills of one profession; patient needs can be wide-ranging and diverse. EMS is a unique healthcare system in that it provides immediate care to a patient and then an avenue in which to further transport and access further care. Often in the hospital setting, there is a multi-disciplinary approach to care; however, in many cases, in the pre-hospital setting, this can be disjointed and occur between different service plans and the handover of patient care. This paper will conclude by considering the potential impact of changes to multi-disciplinary clinical governance and the potential for standardizing educational outcomes between professions to improve overall patient care and experience in the pre-hospital setting

Multiple Attribute Decision Making Algorithm via Picture Fuzzy Nano Topological Spaces

Picture fuzzy nano topological spaces is an extension of intuitionistic fuzzy nano topological spaces. Every decision in life ends with an answer such as yes or no, or true or false, but we have an another component called abstain, which we have not yet considered. This work is a gateway to study such a problem. This paper motivates an enquiry of the third component—abstain—in practical problems. The aim of this paper is to investigate the contemporary notion of picture fuzzy nano topological spaces and explore some of its properties. The stated properties are quantified with numerical data. Furthermore, an algorithm for Multiple Attribute Decision-Making (MADM) with an application regarding the file selection of building material under uncertainty by using picture fuzzy nano topological spaces is developed. As a practical problem, a comparison table is presented to show the difference between the novel concept and the existing methods

Epi-mild normality

A space (X, τ) is called epi-mildly normal if there exists a coarser topology τ′ on X such that (X, τ′) is Hausdorff (T2) mildly normal. We investigate this property and present some examples to illustrate the relationships between epi-mild normality and other weaker kinds of normality

Measurement of Countable Compactness and Lindelöf Property in RL-Fuzzy Topological Spaces

Based on the concepts of pseudocomplement of L-subsets and the implication operator where L is a completely distributive lattice with order-reversing involution, the definition of countable RL-fuzzy compactness degree and the Lindelöf property degree of an L-subset in RL-fuzzy topology are introduced and characterized. Since L-fuzzy topology in the sense of Kubiak and Šostak is a special case of RL-fuzzy topology, the degrees of RL-fuzzy compactness and the Lindelöf property are generalizations of the corresponding degrees in L-fuzzy topology

A New Approach to Concavity Fuzzification

In this paper, we introduce a more general approach to the fuzzification of fuzzy concavity. More specifically, the degree of L,M-fuzzy concavity is introduced and characterized as a generalization of L-concave structure and L,M-fuzzy concave structure. Based on that, the degree of L,M-fuzzy concavity preserving and L,M-fuzzy concave-to-concave of a function are defined. Some properties and relationships between the degree of L,M-fuzzy concavity preserving and L,M-fuzzy concave-to-concave functions are discussed

Spherical Linear Diophantine Fuzzy TOPSIS Algorithm for Green Supply Chain Management System

Enhancing competitive pressure is one of the most significant roles of supply chain management. The competitive environment and customer perception have shifted in favour of an ecological mentality. As a result, green supplier selection (GSS) has emerged as a critical problem. The challenge of green supplier selection striving for agility, durability, ecological sensitivity, leanness, and sustainability is tackled in this paper. In terms of recycling applications, environmental applications, carbon footprint, and water consumption, the environmental parameters evaluated in GSS and traditional supplier selection differ. Because of the form of the problem, a resolution is defined, which comprises an algorithm entrenched in the spherical linear Diophantine fuzzy sets (SLDFSs) Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) technique. Before discussing the approach of the SLDF model, some background information on SLDF sets is provided. To assure the uniqueness of this robust extension, different operations on SLDFSs are described, along with some concise interpretations to help the reader comprehend these ideas. A robust TOPSIS approach has been utilized in the issue of GSS by taking into consideration the multicriteria decision-making (MCDM) technique particularly useful in several areas, like analyzing and choosing traditional and environmental conventionalities. Due to linguistic criteria and the inability to assess all criteria, the fuzzy technique must be used with the TOPSIS method to lessen the consequences of instability and ambiguity. The spherical linear Diophantine fuzzy TOPSIS approach is employed, as it simplifies the evaluation of decision-makers and criteria. The hybrid technique resulting from integrating the SLDFS and TOPSIS is extremely successful in selecting which provider is more suited among the alternatives established on the criteria set by the order of significance, and this method may also be incorporated into similar issues

New MCDM Algorithms with Linear Diophantine Fuzzy Soft TOPSIS, VIKOR and Aggregation Operators

In this paper, we focus on several ideas associated with linear Diophantine fuzzy soft sets (LDFSSs) along with its algebraic structure. We provide operations on LDFSSs and their specific features, elaborating them with real-world examples and statistical depictions to construct an inflow of linguistic variables based on linear Diophantine fuzzy soft (LDFSS) information. We offer a study of LDFSSs to the multi-criteria decision-making (MCDM) process of university determination, together with new algorithms and flowcharts. We construct LDFSS-TOPSIS, LDFSS-VIKOR and the LDFSS-AO techniques as robust extensions of TOPSIS (a technique for order preferences through the ideal solution), VIKOR (Vlse Kriterijumska Optimizacija Kompromisno Resenje) and AO (aggregation operator). We use the LDFSS-TOPSIS, LDFSS-VIKOR and LDFSS-AO techniques to solve a real-world agricultural problem. Moreover, we present a small-sized robotic agri-farming to support the proposed technique. A comparison analysis is also performed to examine the symmetry of optimal decision and to analyze the efficiency of the suggested algorithms