To get acquainted with floppy logic, I particularly recommend the original dissertation:
That text is available in English, in pdf format and has 116 pages.
PROVINSKÝ Pavel. Fuzzy Sets in Stochastic Modelling, (thesis), CTU Prague. Computing and Information Centre, Prague, 2021. DOI: 10.14311/dis.fd.2021.001. Available from: http://hdl.handle.net/10467/99090
More texts
Floppy Logic – a Younger Sister of Fuzzy Logic
The first article ever published on floppy logic. Basic and generalised floppy logics are introduced here and a number of examples are computed. It includes a proof that all relationships and instruments of probability theory can be used within floppy logic.
PROVINSKÝ Pavel. Floppy Logic – a Younger Sister of Fuzzy Logic. Neural Network World. 2017, vol. 27(issue 5), pp. 479–497, doi: 10.14311/NNW.2017.27.025. ISSN 2336-4335.
Floppy Logic – Instructions for Use
A more extensive article to serve as a kind of guide for practical users of floppy logic. It describes various situations and illustrates everything with a number of examples.
PROVINSKÝ Pavel. Floppy Logic – Instructions for Use. Neural Network World. 2018, 28(5), pp. 473–494, doi: 10.14311/NNW.2018.28.026. ISSN 2336-4335.
Floppy logic as a generalization of standard Boolean logic
This article contains a proof that two statements equivalent in two-valued logic are also equivalent in floppy logic. This means we can use the laws of two-valued logic in floppy logic. In addition, a number of new relationships for implication are listed here, which are valid in both floppy and two-valued logic.
PROVINSKÝ Pavel. Floppy logic as a generalization of standard Boolean logic. Neural Network World. 2020, 30(3), pp. 193–209, doi: 10.14311/NNW.2020.30.014. ISSN 2336-4335.