A Study on Fuzzy Resolving Domination Sets and Their Application in Network Theory

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F23%3A10251789" target="_blank" >RIV/61989100:27230/23:10251789 - isvavai.cz</a>

Result on the web

<a href="https://www.webofscience.com/wos/woscc/full-record/WOS:000927106500001" target="_blank" >https://www.webofscience.com/wos/woscc/full-record/WOS:000927106500001</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/math11020317" target="_blank" >10.3390/math11020317</a>

Result language

angličtina

Original language name

A Study on Fuzzy Resolving Domination Sets and Their Application in Network Theory

Original language description

Consider a simple connected fuzzy graph (FG) G and consider an ordered fuzzy subset H = {(u(1), sigma(u(1))), (u(2), sigma(u(2))), horizontal ellipsis (u(k), sigma(u(k)))}, |H| &gt;= 2 of a fuzzy graph; then, the representation of sigma - H is an ordered k-tuple with regard to H of G. If any two elements of sigma - H do not have any distinct representation with regard to H, then this subset is called a fuzzy resolving set (FRS) and the smallest cardinality of this set is known as a fuzzy resolving number (FRN) and it is denoted by Fr(G). Similarly, consider a subset S such that for any u is an element of S, there exists v is an element of V - S, then S is called a fuzzy dominating set only if u is a strong arc. Now, again consider a subset F which is both a resolving and dominating set, then it is called a fuzzy resolving domination set (FRDS) and the smallest cardinality of this set is known as the fuzzy resolving domination number (FRDN) and it is denoted by F-gamma r(G). We have defined a few basic properties and theorems based on this FRDN and also developed an application for social network connection. Moreover, a few related statements and illustrations are discussed in order to strengthen the concept.

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

20300 - Mechanical engineering

Project

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Continuities

S - Specificky vyzkum na vysokych skolach

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

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Volume of the periodical

11

Issue of the periodical within the volume

2

Country of publishing house

CH - SWITZERLAND

Number of pages

9

Pages from-to

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UT code for WoS article

000927106500001

EID of the result in the Scopus database

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