Do We Need Minimal Solutions of Fuzzy Relational Equations in Advance?

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73581833" target="_blank" >RIV/61989592:15310/17:73581833 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1109/TFUZZ.2016.2598860" target="_blank" >http://dx.doi.org/10.1109/TFUZZ.2016.2598860</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/TFUZZ.2016.2598860" target="_blank" >10.1109/TFUZZ.2016.2598860</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Do We Need Minimal Solutions of Fuzzy Relational Equations in Advance?

Popis výsledku v původním jazyce

Minimal solutions play a crucial role in description of all solutions to a fuzzy relational equation. The reason is that all solutions form a convex set with respect to (fuzzy) set inclusion; therefore, having all extremal solutions, we can represent the entire solution set as a union of intervals bounded from above by the greatest solution and from below by the minimal solutions. However, when computing the intervals, we obtain many duplicate solutions. The obvious question is as follows: Is there another way of representing the solution set, for instance, without the need of having all the minimal solutions in advance? We provide the positive answer to this question.

Název v anglickém jazyce

Do We Need Minimal Solutions of Fuzzy Relational Equations in Advance?

Popis výsledku anglicky

Minimal solutions play a crucial role in description of all solutions to a fuzzy relational equation. The reason is that all solutions form a convex set with respect to (fuzzy) set inclusion; therefore, having all extremal solutions, we can represent the entire solution set as a union of intervals bounded from above by the greatest solution and from below by the minimal solutions. However, when computing the intervals, we obtain many duplicate solutions. The obvious question is as follows: Is there another way of representing the solution set, for instance, without the need of having all the minimal solutions in advance? We provide the positive answer to this question.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

IEEE Transactions on Fuzzy Systems

ISSN

1063-6706

e-ISSN

—

Svazek periodika

25

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

8

Strana od-do

1356-1363

Kód UT WoS článku

000412200500028

EID výsledku v databázi Scopus

2-s2.0-85032438663