Fuzzy Sets in Stochastic Modelling

Result code in 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>
Result on the web
<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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Result language
angličtina
Original language name
Fuzzy Sets in Stochastic Modelling
Original language description
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.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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