F-transforms and semimodule homomorphisms

  • Jiří MočkořEmail author


Relationships between F-transforms based on variants of fuzzy partitions and \({\mathcal {R}}\)-semimodules homomorphisms are investigated, where \({\mathcal {R}}\) are appropriate semirings defined on complete residuated lattices or MV-algebras. For general form of a fuzzy partition, these two notions are proved to be identical.


F-transform Fuzzy partition Semirings Semimodules Linear homomorphisms Residuated lattices MV-algebras 



This study was partially supported by the Project GA18-06915S provided by the Grant Agency of the Czech Republic.

Compliance with ethical standards

Conflict of interest

Author declares that he has no conflict of interest.

Ethical standard

This article does not contain any studies with human participants or animals performed by the author.


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© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute for Research and Applications of Fuzzy ModelingUniversity of OstravaOstrava 1Czech Republic

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