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Invertible fuzzy topological spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Invertible fuzzy topological spacesby Anjaly Jose, Sunil C. Mathew.
Author:	Jose, Anjaly.
other author:	Mathew, Sunil C.
Published:	Singapore :Springer Nature Singapore :2022.
Description:	xi, 96 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Fuzzy topology.
Online resource:	https://doi.org/10.1007/978-981-19-3689-0
ISBN:	9789811936890$q(electronic bk.)

Invertible fuzzy topological spaces
Jose, Anjaly.

Invertible fuzzy topological spaces[electronic resource] /by Anjaly Jose, Sunil C. Mathew. - Singapore :Springer Nature Singapore :2022. - xi, 96 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9789811936890$q(electronic bk.)

Standard No.: 10.1007/978-981-19-3689-0doiSubjects--Topical Terms:

933959
Fuzzy topology.

LC Class. No.: QA611.2

Dewey Class. No.: 514.322

Invertible fuzzy topological spaces
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505 0 $a 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.
520 $a 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.
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