On the structural properties of Fm-transforms with applications
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F18%3AA1901N8S" target="_blank" >RIV/61988987:17610/18:A1901N8S - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.fss.2017.12.008" target="_blank" >http://dx.doi.org/10.1016/j.fss.2017.12.008</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2017.12.008" target="_blank" >10.1016/j.fss.2017.12.008</a>
Alternative languages
Result language
angličtina
Original language name
On the structural properties of Fm-transforms with applications
Original language description
The aim of this study is to obtain some direct formulas for -transforms of derivative, integral and multiplication of functions in order to extend the application and flexibility of -transform method. Using the derived explicit formula, one can use -transform method straightforwardly to solve various linear and nonlinear problems including differential and integral equations. In this study, the general form of the higher order fuzzy transforms are constructed using any arbitrary basis functions instead of the classical polynomial ones.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fuzzy Sets and Systems
ISSN
0165-0114
e-ISSN
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Volume of the periodical
342
Issue of the periodical within the volume
7
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
21
Pages from-to
32-52
UT code for WoS article
000432350400002
EID of the result in the Scopus database
2-s2.0-85038847825