Publikace
Mathematical fuzzy logic: from vagueness to commonsense reasoning
Editoři monografie:
Kreuzbauer, G.; Gratzl, N.; Hiebl, E.
Název monografie:
Rehtorische Wissenschaft: Rede und Argumantation in Theorie
Nakladatel:
Lit Verlag GmbH & Co. KG Wien
Klíčová slova:
Fuzzy logic; vagueness; truth values
Anotace:
We briefly discuss the indeterminacy phenomenon as a phenomenon having two facets: uncertainty and vagueness. Then we describe some basic principles of modern fuzzy logic and show that it constitutes a group of well established formal systems. We argue that till now, fuzzy logic provides most successful solutions when trying to grasp vagueness. Its model of vagueness is based on introducing degrees of truth with well established and substantiated
structure that non-trivially generalizes classical logic. We also outline formal theories which model some of essential manifestations of vagueness headed by analysis of sorites.