Linear Diophantine Fuzzy Subspaces of a Vector Space

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F24%3A00558820" target="_blank" >RIV/60162694:G43__/24:00558820 - isvavai.cz</a>

Result on the web

<a href="http://www.mdpi.com/journal/mathematics" target="_blank" >http://www.mdpi.com/journal/mathematics</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/math11030503" target="_blank" >10.3390/math11030503</a>

Result language

angličtina

Original language name

Linear Diophantine Fuzzy Subspaces of a Vector Space

Original language description

The notion of a linear diophantine fuzzy set as a generalization of a fuzzy set is a mathematical approach that deals with vagueness in decision-making problems. The use of reference parameters associated with validity and non-validity functions in linear diophantine fuzzy sets makes it more applicable to model vagueness in many real-life problems. On the other hand, subspaces of vector spaces are of great importance in many fields of science. The aim of this paper is to combine the two notions. In this regard, we consider the linear diophantine fuzzification of a vector space by introducing and studying the linear diophantine fuzzy subspaces of a vector space. First, we studied the behaviors of linear diophantine fuzzy subspaces of a vector space under a linear diophantine fuzzy set. Second, and by means of the level sets, we found a relationship between the linear diophantine fuzzy subspaces of a vector space and the subspaces of a vector space. Finally, we discuss the linear diophantine fuzzy subspaces of a quotient vector space.

Czech name

—

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

10101 - Pure mathematics

Project

—

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

MATHEMATICS

ISSN

2227-7390

e-ISSN

—

Volume of the periodical

11

Issue of the periodical within the volume

3

Country of publishing house

CH - SWITZERLAND

Number of pages

9

Pages from-to

503

UT code for WoS article

000930871000001

EID of the result in the Scopus database

2-s2.0-85147814101