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Mathematics
Other literature type . 2022
License: CC BY
Full-Text: http://www.mdpi.com/2227-7390/10/18/3313/pdf
Data sources: Multidisciplinary Digital Publishing Institute
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Mathematics
Article . 2022 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Mathematics
Article . 2022
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Intuitionistic Fuzzy Modal Topological Structure

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 13 Sep 2022 English Publisher:MDPI AGJournal:Mathematics, volume 10, page 3,313 (eissn: 2227-7390, Copyright policy )
Authors: Krassimir Atanassov;

doi: 10.3390/math10183313

Intuitionistic Fuzzy Modal Topological Structure

Abstract

The concept of an Intuitionistic Fuzzy Modal Topological Structure (IFMTS) or for brevity, Intuitionistic Fuzzy Modal Topology (IFMT), is introduced. It is proved that the two standard intuitionistic fuzzy topological operators C and I, and the two standard intuitionistic fuzzy modal operators ☐ and ♢ generate two different IFMTs. Some basic properties of both IFMTs are discussed. Some important properties of the intuitionistic fuzzy modal and topological operators are discussed. These properties will be a basis of next research on the IFMTSs. Ideas for future development of the IFMT theory are formulated.

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Keywords

intuitionistic fuzzy operator, Intuitionistic Fuzzy Set, QA1-939, Intuitionistic Fuzzy Modal Topology, Intuitionistic Fuzzy Modal Topology; intuitionistic fuzzy operator; Intuitionistic Fuzzy Set, Mathematics

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    popularity
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Top 10%
Top 10%
Top 10%
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