WhenQM-operators are implication functions and conditional fuzzy relations

Enric Trillas, Cristina del Campo, Susana Cubillo · International Journal of Intelligent Systems · 2000

Some fuzzy reasoning systems base inference processes on fuzzy implication functions. Although there has been a great deal of work done on characterizing R- and S-implications, little is known about QM-implications in spite of their long history since they came to fuzzy logic by analogy with the quantum mechanic logic. This paper tackles the study of some characteristics of this type of operator. It focuses on the QM-implication operator both as an implication function and also as a T-conditional function, giving useful tools to characterize them. © 2000 John Wiley & Sons, Inc.

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