Properties of fuzzy implication operators

Authors:
Kyung Whan Oh;Wyllis Bandler
Affiliations:
-;-
Venue:
International Journal of Approximate Reasoning
Year:
1987

Citing 3
Cited 1

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Fuzzy Sets and Systems: Theory and Applications
A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms

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A new method for computing fuzzy functional dependencies in relational database systems

Expert Systems with Applications: An International Journal

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Abstract

In this paper we discuss both forward implication and backward implication, and the difference between them is defined. We introduce some properties of fuzzy implication operators, and show the expectation, the variance, and the distribution of each fuzzy implication operator, assuming that the two propositions in a given compound proposition are independent of each other and the truth values of the propositions are uniformly distributed on the interval [0, 1].