On D-posets of fuzzy sets

In: Mathematica Slovaca, vol. 64, no. 3

Roman Frič

Detaily:

Rok, strany: 2014, 545 - 554

Kľúčové slová:

probability domain, $D$-poset, $D$-poset of fuzzy sets, sequentially continuous $D$-homomorphism, $MV$-algebra, bold algebra, Łukasiewicz tribe, cogenerator, epireflective subcategory

DOI: https://doi.org/10.2478/s12175-014-0224-8

O článku:

$D$-posets of fuzzy sets constitute a natural simple mathematical structure in which relevant notions of generalized probability theory can be formalized. We present a classification of $D$-posets leading to a hierarchy of distinguished subcategories of $D$-posets related to probability and study their relationships. This contributes to a better understanding of the transition from classical probability theory to fuzzy probability theory. In particular, we describe the transition from the Boolean cogenerator $\{0,1\}$ to the fuzzy cogenerator $[0,1]$ and prove that the generated

Ako citovať:

ISO 690:

Frič, R. 2014. On D-posets of fuzzy sets. In Mathematica Slovaca, vol. 64, no.3, pp. 545-554. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0224-8

APA:

Frič, R. (2014). On D-posets of fuzzy sets. Mathematica Slovaca, 64(3), 545-554. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0224-8

O vydaní: