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Connectedness On Hypersoft Topological Spaces
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Book Synopsis Connectedness on Hypersoft Topological Spaces by : Sagvan Y. Musa
Download or read book Connectedness on Hypersoft Topological Spaces written by Sagvan Y. Musa and published by Infinite Study. This book was released on 2022-10-01 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: Connectedness (resp. disconnectedness), which reflects the key characteristic of topological spaces and helps in the differentiation of two topologies, is one of the most significant and fundamental concept in topological spaces. In light of this, we introduce hypersoft connectedness (resp. hypersoft disconnectedness) in hypersoft topological spaces and investigate its properties in details.
Book Synopsis Separation Axioms on Bipolar Hypersoft Topological Spaces by : Sagvan Y. Musa
Download or read book Separation Axioms on Bipolar Hypersoft Topological Spaces written by Sagvan Y. Musa and published by Infinite Study. This book was released on 2023-01-01 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to its definition, a topological space could be a highly unexpected object. There are spaces (indiscrete space) which have only two open sets: the empty set and the entire space. In a discrete space, on the other hand, each set is open. These two artificial extremes are very rarely seen in actual practice. Most spaces in geometry and analysis fall somewhere between these two types of spaces. Accordingly, the separation axioms allow us to say with confidence whether a topological space contains a sufficient number of open sets to meet our needs. To this end, we use bipolar hypersoft (BHS) sets (one of the efficient tools to deal with ambiguity and vagueness) to define a new kind of separation axioms called BHS e Ti-space (i = 0, 1, 2, 3, 4).
Book Synopsis Neutrosophic Semiopen Hypersoft Sets with an Application to MAGDM under the COVID-19 Scenario by : D. Ajay
Download or read book Neutrosophic Semiopen Hypersoft Sets with an Application to MAGDM under the COVID-19 Scenario written by D. Ajay and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hypersoft set is a generalization of soft sets, which takes into account a multiargument function. The main objective of this work is to introduce fuzzy semiopen and closed hypersoft sets and study some of their characterizations and also to present neutrosophic semiopen and closed hypersoft sets, an extension of fuzzy hypersoft sets, along with few basic properties. We propose two algorithms based on neutrosophic hypersoft open sets and topology to obtain optimal decisions in MAGDM. The efficiency of the algorithms proposed is demonstrated by applying them to the current COVID-19 scenario.
Book Synopsis Theory and Application of Hypersoft Set by : Florentin Smarandache
Download or read book Theory and Application of Hypersoft Set written by Florentin Smarandache and published by Infinite Study. This book was released on 2021-02-01 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Florentin Smarandache generalize the soft set to the hypersoft set by transforming the function 𝐹 into a multi-argument function. This extension reveals that the hypersoft set with neutrosophic, intuitionistic, and fuzzy set theory will be very helpful to construct a connection between alternatives and attributes. Also, the hypersoft set will reduce the complexity of the case study. The Book “Theory and Application of Hypersoft Set” focuses on theories, methods, algorithms for decision making and also applications involving neutrosophic, intuitionistic, and fuzzy information. Our goal is to develop a strong relationship with the MCDM solving techniques and to reduce the complexion in the methodologies. It is interesting that the hypersoft theory can be applied on any decision-making problem without the limitations of the selection of the values by the decision-makers. Some topics having applications in the area: Multi-criteria decision making (MCDM), Multi-criteria group decision making (MCGDM), shortest path selection, employee selection, e-learning, graph theory, medical diagnosis, probability theory, topology, and some more.
Book Synopsis Connectedness in Topological Spaces by : Felix N. Howard (Jr.)
Download or read book Connectedness in Topological Spaces written by Felix N. Howard (Jr.) and published by . This book was released on 1967 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Intuitionistic fuzzy hypersoft topology and ıts applications to multi-criteria decision-making by : Adem Yolcu
Download or read book Intuitionistic fuzzy hypersoft topology and ıts applications to multi-criteria decision-making written by Adem Yolcu and published by Infinite Study. This book was released on 2023-01-01 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this paper is to introduce the concept of intuitionistic fuzzy hypersoft topology. Certain properties of intuitionistic fuzzy hypersoft (IFH) topology like IFH b asis, IFH subspace, IFH interior and IFH cloure are investigated. Furthermore, the multicriteria decision making (MCDM) algorithms with aggregation operators based on IFH topology are developed. In Algorithm 1 and Algorithm 2, MCDM problem is applied for IFH sets and IFH topology, respectively. Any real-life implementations of the proposed MCDM algorithms are demonstrated by numerical illustrations.
Book Synopsis Connectedness and Some Concepts Related to Connectedness of a Topological Space by : Michael A. Wallace
Download or read book Connectedness and Some Concepts Related to Connectedness of a Topological Space written by Michael A. Wallace and published by . This book was released on 1969 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topological Structures via Bipolar Hypersoft Sets by : Sagvan Y. Musa
Download or read book Topological Structures via Bipolar Hypersoft Sets written by Sagvan Y. Musa and published by Infinite Study. This book was released on 2023-01-01 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, we introduce bipolar hypersoft topological spaces over the collection of bipolar hypersoft sets. It is proven that a bipolar hypersoft topological space gives a parametrized family of hypersoft topological spaces, but the converse does not hold in general, and this is shown with the help of an example. Furthermore, we give a condition on a given parametrized family of hypersoft topologies, which assure that there is a bipolar hypersoft topology whose induced family of hypersoft topologies is the given family. The notions of bipolar hypersoft neighborhood, bipolar hypersoft subspace, and bipolar hypersoft limit points are introduced. Finally, we define bipolar hypersoft interior, bipolar hypersoft closure, bipolar hypersoft exterior, and bipolar hypersoft boundary, and the relations between them, differing from the relations on hypersoft topology, are investigated.
Book Synopsis Topological Spaces by : H. J. Kowalsky
Download or read book Topological Spaces written by H. J. Kowalsky and published by Academic Press. This book was released on 2014-05-12 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Spaces focuses on the applications of the theory of topological spaces to the different branches of mathematics. The book first offers information on elementary principles, topological spaces, and compactness and connectedness. Discussions focus on locally compact spaces, local connectedness, fundamental concepts and their reformulations, lattice of topologies, axioms of separation, fundamental concepts of set theory, and ordered sets and lattices. The manuscript then ponders on mappings and extensions and characterization of topological spaces, including completely regular spaces, transference of topologies, Wallman compactification, and embeddings. The publication takes a look at metric and uniform spaces and applications of topological groups. Topics include the Stone-Weierstrass Approximation Theorem, extensions and completions of topological groups, topological rings and fields, extension and completion of uniform spaces, uniform continuity and uniform convergence, metric spaces, and metritization. The text is a valuable reference for mathematicians and researchers interested in the study of topological spaces.
Book Synopsis Local Connectedness, Cyclic Element Theory and Arcwise Connectedness in Topological Spaces by : Barbara Lehman
Download or read book Local Connectedness, Cyclic Element Theory and Arcwise Connectedness in Topological Spaces written by Barbara Lehman and published by . This book was released on 1972 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Assuming Photon as Extended Point Particle in the HyperSoft Topological Space and other Hypotheses: Issues and Trend Analysis by : Victor Christianto
Download or read book Assuming Photon as Extended Point Particle in the HyperSoft Topological Space and other Hypotheses: Issues and Trend Analysis written by Victor Christianto and published by Infinite Study. This book was released on 2024-01-01 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following our preceding article, where we discussed alternative interpretations of the advanced perihelion of Mercury, the present article revisits the 1919 solar eclipse expedition led by Arthur Eddington, which famously provided the first observational confirmation of Einstein's theory of general relativity. We focus on the deflection of starlight data obtained during the eclipse, a cornerstone of this validation. Here, we explore three alternative explanations for the observed light bending that challenge the sole attribution to general relativity. Firstly, the paper begins by arguing based on criticisms raised by Tullio Levi-Civita, a contemporary mathematician, regarding Einstein's use of pseudo-tensors in his calculations. Levi-Civita argued that this approach introduced unnecessary complexity and obscured alternative interpretations of the data. Secondly, we delve into astrophysical phenomena that could mimic the observed light deflection, based on the varying speed of light, by assuming a photon has mass. (cf. ‘t Hooft et al., Light is Heavy). Moreover, in the literature, Molodtsov initiated soft set theory as an extension of fuzzy set theory to deal with uncertainties occurring in the natural and social sciences. It attracted the attention of mathematicians as well as social scientists due to its potential to unify certain mathematical aspects and applications in decision making processes; therefore, we shall discuss a bit how to model the photon as an extended massive particle of light, possibly related to such a soft set point [15, 16]. For further exploration, it is possible to assume the crystalline lattice of subvacuum structure (cf. Gremaud) as part of hypersoft topological spaces [16, 16a]. We strongly believe that the true strength of science lies in its continuous search for evidence and refinement of existing models. Therefore, it can be expected that new data can be helpful to reevaluate these matters, for instance, in the upcoming eclipse in the next month of 2024.
Book Synopsis On --Connectedness and --Closure Spaces by : Mila Mršević
Download or read book On --Connectedness and --Closure Spaces written by Mila Mršević and published by . This book was released on 2018 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let (, ) be a topological space. A point is in the --closure of A, denoted by cl, if each closed neighbourhood of intersects . The pair (, cl) is a closure space, also called a neighbourhood space. A subset is --closed if = cl. --closed sets are closed sets for a new topology on the set . The semi-regularization topology of is denoted by .Various topological properties are considered on (, ), (, ), (, cl) and (, ), in particular connectedness and local connectedness.
Book Synopsis Connectedness Properties of the Space of Closed Subsets of a Topological Space by : Mahmoud H. Al-Buhaisi
Download or read book Connectedness Properties of the Space of Closed Subsets of a Topological Space written by Mahmoud H. Al-Buhaisi and published by . This book was released on 1977 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Maximally Connected Topological Spaces by : Andrew Kelly Garner
Download or read book Maximally Connected Topological Spaces written by Andrew Kelly Garner and published by . This book was released on 1976 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation by : Cengiz Kahraman
Download or read book Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation written by Cengiz Kahraman and published by Springer Nature. This book was released on 2021-08-23 with total page 954 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent research in intelligent and fuzzy techniques. Emerging conditions such as pandemic, wars, natural disasters and various high technologies force people for significant changes in business and social life. The adoption of digital technologies to transform services or businesses, through replacing non-digital or manual processes with digital processes or replacing older digital technology with newer digital technologies through intelligent systems is the main scope of this book. It focuses on revealing the reflection of digital transformation in our business and social life under emerging conditions through intelligent and fuzzy systems. The latest intelligent and fuzzy methods and techniques on digital transformation are introduced by theory and applications. The intended readers are intelligent and fuzzy systems researchers, lecturers, M.Sc. and Ph.D. students studying digital transformation. Usage of ordinary fuzzy sets and their extensions, heuristics and metaheuristics from optimization to machine learning, from quality management to risk management makes the book an excellent source for researchers.
