Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
An overview of conditionals and biconditionals in probability
MATH'08 Proceedings of the American Conference on Applied Mathematics
Methods of assessing and ranking probable sources of error
ACC'08 Proceedings of the WSEAS International Conference on Applied Computing Conference
Fuzzy Implications
Definition and construction of fuzzy DI-subsethood measures
Information Sciences: an International Journal
A comparative study on similarity-based fuzzy reasoning methods
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A copula-based family of fuzzy implication operators
Fuzzy Sets and Systems
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A new family of implication operators, called probabilistic implications, is discussed. The suggested implications are based on conditional copulas and make a bridge between probability theory and fuzzy logic. It is shown that probabilistic fuzzy implications have some interesting properties, especially those connected with the dependence structure of the underlying environment. Moreover, some other approaches for combining probability and theory of fuzzy implications are considered. In particular, it is shown that in probabilistic environment S-implications coincide with QL-implications.