Nonstandard conjunctions and implications in fuzzy logic

Dependencies between fuzzy conjunctions and implications

This paper deals with some dependencies between fuzzy conjunctions and fuzzy implications. More precisely, a fuzzy implication generated from a fuzzy conjunction and a fuzzy conjunction induced by a fuzzy implication is considered. In the case of a fuzzy conjunction only border conditions and monotonicity are assumed. The results are illustrated by examples of weak fuzzy connectives.

On (S, N)-implications in fuzzy logic consistent with T-conjunctions

Using fuzzy FMEA and fuzzy logic in project risk management

Risk management is one of the most important phases of project management and isthe most recently used by many researchers. In this paper, a fuzzy based method wasproposed which identifies different kinds of risks through the project life cycle.Then, the project risk magnitude can be obtained in regards to five factors, namely“severity”, “occurrence”, and “not detection” which form fuzzy FMEA a...

Primal Infon Logic with Conjunctions as Sets

Primal infon logic was proposed by Gurevich and Neeman as an efficient yet expressive logic for policy and trust management. It is a propositional multimodal subintuitionistic logic decidable in linear time. However in that logic the principle of the replacement of equivalents fails. For example, (x ∧ y) → z does not entail (y ∧ x) → z, and similarly w → ((x ∧ y) ∧ z) does not entail w → (x ∧ (...

Pavelka-style Fuzzy Logic for Attribute Implications

We present Pavelka-style fuzzy logic for reasoning about attribute implications, i.e. formulas A ⇒ B known also as association rules and functional dependencies. Fuzzy attribute implications allow for two different interpretations, namely, in data tables with graded (fuzzy) attributes and in data tables over domains with similarity relations. In the first interpretation, A ⇒ B reads “each objec...