Residual implications on lattice L of intuitionistic truth values based on powers of continuous t-norms
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Residual implications on lattice L of intuitionistic truth values based on powers of continuous t-norms
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - 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
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Information Sciences
ISSN
0020-0255
e-ISSN
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Volume of the periodical
550
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
20
Pages from-to
109-128
UT code for WoS article
000605760900008
EID of the result in the Scopus database
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