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2024 | OriginalPaper | Chapter

On Strong Fuzzy Partial Metric Spaces

Authors : Elif Güner, Halis Aygün

Published in: Mathematical Methods for Engineering Applications

Publisher: Springer Nature Switzerland

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Abstract

In 2019, Gregori et al. (Int. J. Gen. Syst. 48(3):260–279, 2019), initiated the structure of fuzzy partial metric space (FPMS) based on the residuum operators. Since it is not easy to show different examples when one works with residuum operators, in recent papers, we face to lack of examples of FPMs. Motivated by this fact, in this work, we aim to generate different FPMs from partial metrics (PMs) and vice versa. For this aim, we first give the concept of strong FPMSs by investigating some properties of them and providing some examples by considering different t-norms. In continuation, we give some techniques to construct strong FPMs from existing PMs by means of the pseudo-inverse (p-inverse) of the additive generator (a-generator) of continuous Archimedean t-norms. We also show that FPMs can induce PMs via a-generators. Moreover, we study whether the topologies induced by the presented techniques coincide or not.

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previous chapter Exponentiated Weibull Mixture Cure Model to Handle Right-Censored Data Set

next chapter An Application of Linear Diophantine Fuzzy Sets to the Edge Detection Techniques

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Title: On Strong Fuzzy Partial Metric Spaces
Authors: Elif Güner
Halis Aygün
Publisher: Springer Nature Switzerland
Book: Mathematical Methods for Engineering Applications
Print ISBN: 978-3-031-49217-4

Electronic ISBN: 978-3-031-49218-1

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-3-031-49218-1_18

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