# zbMATH — the first resource for mathematics

Fuzzy logics as the logics of chains. (English) Zbl 1106.03019
Summary: The paper proposes a formal delimitation of the class of ‘fuzzy logics’ and answers some objections that can be raised against the definition; the focus is put on informal and motivational aspects of the problem.

##### MSC:
 03B52 Fuzzy logic; logic of vagueness 03A05 Philosophical and critical aspects of logic and foundations 03B22 Abstract deductive systems
##### Keywords:
formal fuzzy logic; weakly implicative fuzzy logics
Full Text:
##### References:
 [1] P. Cintula, From fuzzy logic to fuzzy mathematics, Ph.D. Thesis, Czech Technical University, Faculty of Nuclear Sciences and Physical Engineering, Prague, 2005. · Zbl 1086.06008 [2] P. Cintula, Weakly implicative (fuzzy) logics I: basic properties, Arch. Math. Logic 2005, to appear. · Zbl 1101.03015 [3] Esteva, F.; Godo, L., Monoidal t-norm based logic: towards a logic for left-continuous t-norms, Fuzzy sets and systems, 123, 271-288, (2001) · Zbl 0994.03017 [4] Font, J.M.; Jansana, R.; Pigozzi, D., A survey of abstract algebraic logic, Studia logica, 74, 13-97, (2003) · Zbl 1057.03058 [5] Hájek, P., Metamathematics of fuzzy logic, (1998), Kluwer Dordercht · Zbl 0937.03030 [6] Hájek, P., Fuzzy logics with noncommutative conjunctions, J. logic comput., 13, 469-479, (2003) · Zbl 1036.03018 [7] G. Metcalfe, Uninorm logics, in: Proceedings of EUROFUSE Workshop on Data and Knowledge Engineering, Warsaw, 2004. [8] Novák, V.; Perfilieva, I.; Močkoř, J., Mathematical principles of fuzzy logic, (2000), Kluwer Dordrecht [9] Rasiowa, H., An algebraic approach to non-classical logics, (1974), North-Holland Amsterdam · Zbl 0299.02069
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.