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Research Centre
Data - Algorithms - Decision Making
Data - Algorithms - Decision Making
Established in 2005 under support of MŠMT ČR (project 1M0572)
Publications
Mathematical fuzzy logic: from vagueness to commonsense reasoning
Typ:
Part of monograph
Authors:
Monograph editors:
Kreuzbauer, G.; Gratzl, N.; Hiebl, E.
Name of monograph:
Rehtorische Wissenschaft: Rede und Argumantation in Theorie
Publisher:
Lit Verlag GmbH & Co. KG Wien
Serie:
Wien
Year:
2008
Pages:
191-223
ISBN:
978-3-7000-0821-7
Keywords:
Fuzzy logic; vagueness; truth values
Anotation:
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.
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.