Residual implications on lattice L of intuitionistic truth values based on powers of continuous t-norms

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA2202ABB" target="_blank" >RIV/61988987:17610/21:A2202ABB - isvavai.cz</a>

Výsledek na webu

<a href="https://linkinghub.elsevier.com/retrieve/pii/S0020025520310215" target="_blank" >https://linkinghub.elsevier.com/retrieve/pii/S0020025520310215</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ins.2020.10.040" target="_blank" >10.1016/j.ins.2020.10.040</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Residual implications on lattice L of intuitionistic truth values based on powers of continuous t-norms

Popis výsledku v původním jazyce

Residual implications are a special class of implications on the lattice L of intuitionistic truth values which possess interesting theoretical and practical properties. Many studies have investigated the properties of the types of implications on L and established the relationships among them. In this paper, the powers of the continuous t-norms T on L are introduced, and their properties studied. A new type of implication on L, termed the T-power based implication, is derived from the powers of the continuous t-norms T, as denoted by IIT and satisfies certain properties of the residual implications defined on the interval [0, 1] under certain conditions. Some important properties are analyzed. These results collectively reveal that they do not intersect the most well-known classes of fuzzy implications. Finally, we investigate the solutions of some Boolean-like laws for IIT.

Název v anglickém jazyce

Residual implications on lattice L of intuitionistic truth values based on powers of continuous t-norms

Popis výsledku anglicky

Residual implications are a special class of implications on the lattice L of intuitionistic truth values which possess interesting theoretical and practical properties. Many studies have investigated the properties of the types of implications on L and established the relationships among them. In this paper, the powers of the continuous t-norms T on L are introduced, and their properties studied. A new type of implication on L, termed the T-power based implication, is derived from the powers of the continuous t-norms T, as denoted by IIT and satisfies certain properties of the residual implications defined on the interval [0, 1] under certain conditions. Some important properties are analyzed. These results collectively reveal that they do not intersect the most well-known classes of fuzzy implications. Finally, we investigate the solutions of some Boolean-like laws for IIT.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Information Sciences

ISSN

0020-0255

e-ISSN

—

Svazek periodika

550

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

20

Strana od-do

109-128

Kód UT WoS článku

000605760900008

EID výsledku v databázi Scopus

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