Fuzzy Sets in Stochastic Modelling

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21260%2F21%3A00357396" target="_blank" >RIV/68407700:21260/21:00357396 - isvavai.cz</a>

Výsledek na webu

<a href="https://dspace.cvut.cz/handle/10467/99090" target="_blank" >https://dspace.cvut.cz/handle/10467/99090</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Fuzzy Sets in Stochastic Modelling

Popis výsledku v původním jazyce

The text introduces floppy logic, which is a new multi-valued logic. Floppy logic consistently links fuzzy sets to probability theory. The most important results of this work include proof that all statements equivalent in standard two-valued logic are also equivalent in floppy logic. It follows that floppy logic retains all the properties of standard two-valued logic which can be expressed as an equivalence. Another important result is the proof that floppy logic is a model of Kolmogorov probability theory. We can therefore apply all the concepts and tools of probability theory in floppy logic. Much focus was given to practical examples of work with floppy logic. Floppy logic is compared to several other theories and also presented in historical context.

Název v anglickém jazyce

Fuzzy Sets in Stochastic Modelling

Popis výsledku anglicky

The text introduces floppy logic, which is a new multi-valued logic. Floppy logic consistently links fuzzy sets to probability theory. The most important results of this work include proof that all statements equivalent in standard two-valued logic are also equivalent in floppy logic. It follows that floppy logic retains all the properties of standard two-valued logic which can be expressed as an equivalence. Another important result is the proof that floppy logic is a model of Kolmogorov probability theory. We can therefore apply all the concepts and tools of probability theory in floppy logic. Much focus was given to practical examples of work with floppy logic. Floppy logic is compared to several other theories and also presented in historical context.

Druh

O - Ostatní výsledky

CEP obor

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OECD FORD obor

10100 - Mathematics

Projekt

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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