Cut systems with relational morphisms for semiring-valued fuzzy structures

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F23%3AA2402HSE" target="_blank" >RIV/61988987:17610/23:A2402HSE - isvavai.cz</a>

Result on the web

<a href="https://www.mdpi.com/2075-1680/12/2/153" target="_blank" >https://www.mdpi.com/2075-1680/12/2/153</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/axioms12020153" target="_blank" >10.3390/axioms12020153</a>

Result language

angličtina

Original language name

Cut systems with relational morphisms for semiring-valued fuzzy structures

Original language description

Many of the new $MV$-valued fuzzy structures, including intuitionistic, neutrosophic or fuzzy soft sets can be transformed into so-called $AMV$-valued fuzzy sets, or, equivalently, $R$-valued fuzzy sets, where $R$ is a so-called dual pair of semirings. This transformation allows any construction of $AMV$-valued fuzzy sets to be retransformed into an analogous construction for these new fuzzy structures. In this way, approximation theories for $R$-fuzzy sets, rough $R$-fuzzy sets theories, or $F$-transform theories for $R$-fuzzy sets have already been created and then retransformed for these new fuzzy structures. In the paper, we continue this trend and define, on the one hand, the theory of extensional $R$-fuzzy sets defined on sets with $R$-fuzzy similarity relations and power sets functors related to this theory and, at the same time, the theory of cuts with relational morphisms of these structures. Illustratively, the reverse transformations of some of these concepts into new fuzzy structures are presented.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Axioms

ISSN

2075-1680

e-ISSN

2075-1680

Volume of the periodical

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Issue of the periodical within the volume

2

Country of publishing house

CH - SWITZERLAND

Number of pages

22

Pages from-to

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UT code for WoS article

000938812600001

EID of the result in the Scopus database

2-s2.0-85148883344