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Invertible Fuzzy Topological Spaces / by Anjaly Jose, Sunil C. Mathew

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Singapore : Springer Nature Singapore, 2022Publisher: Singapore : Imprint: Springer, 2022Edition: 1st ed. 2022Description: 1 Online-Ressource(XI, 96 p. 5 illus.)ISBN:
  • 9789811936890
Subject(s): Additional physical formats: 9789811936883 | 9789811936906 | Erscheint auch als: 9789811936883 Druck-Ausgabe | Erscheint auch als: 9789811936906 Druck-AusgabeDOI: DOI: 10.1007/978-981-19-3689-0Online resources: Summary: Motivation and Preliminaries -- H-fuzzy topological spaces -- Invertible fuzzy topological spaces -- Types of invertible fuzzy topological spaces -- Properties of invertible fuzzy topological spaces -- Invertibility of the related spaces -- Invertible R-topological spaces.Summary: This book discusses the invertibility of fuzzy topological spaces and related topics. Certain types of fuzzy topological spaces are introduced, and interrelations between them are brought forth. Various properties of invertible fuzzy topological spaces are presented, and characterizations for completely invertible fuzzy topological spaces are discussed. The relationship between homogeneity and invertibility is examined, and, subsequently, the orbits in an invertible fuzzy topological space are studied. The structure of invertible fuzzy topological spaces is investigated, and a clear picture of the inverting pairs in an invertible fuzzy topological space is introduced. Further, the related spaces such as sums, subspaces, simple extensions, quotient spaces, and product spaces of invertible fuzzy topological spaces are examined. In addition, the effect of invertibility on fuzzy topological properties like separation axioms, axioms of countability, compactness, and fuzzy connectedness in invertible fuzzy topological spaces is established. The book sketches ideas extended to the bigger canvas of L-topology in a very interesting manner.PPN: PPN: 1815857307Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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