Degrees of Truth
Fuzzy logic and probabilistic logic are mathematically similar – both have truth values ranging between 0 and 1 – but conceptually distinct, owing to different interpretations—see interpretations of probability theory. Fuzzy logic corresponds to "degrees of truth", while probabilistic logic corresponds to "probability, likelihood"; as these differ, fuzzy logic and probabilistic logic yield different models of the same real-world situations.
Both degrees of truth and probabilities range between 0 and 1 and hence may seem similar at first. For example, let a 100 ml glass contain 30 ml of water. Then we may consider two concepts: Empty and Full. The meaning of each of them can be represented by a certain fuzzy set. Then one might define the glass as being 0.7 empty and 0.3 full. Note that the concept of emptiness would be subjective and thus would depend on the observer or designer. Another designer might equally well design a set membership function where the glass would be considered full for all values down to 50 ml. It is essential to realize that fuzzy logic uses truth degrees as a mathematical model of the vagueness phenomenon while probability is a mathematical model of ignorance.
Read more about this topic: Fuzzy Logic
Famous quotes containing the words degrees of, degrees and/or truth:
“Gradually we come to admit that Shakespeare understands a greater extent and variety of human life than Dante; but that Dante understands deeper degrees of degradation and higher degrees of exaltation.”
—T.S. (Thomas Stearns)
“Pure Spirit, one hundred degrees proof—that’s a drink that only the most hardened contemplation-guzzlers indulge in. Bodhisattvas dilute their Nirvana with equal parts of love and work.”
—Aldous Huxley (1894–1963)
“On a huge hill,
Cragged, and steep, Truth stands, and he that will
Reach her, about must, and about must go;
And what the hill’s suddenness resists, win so;
Yet strive so, that before age, death’s twilight,
Thy Soul rest, for none can work in that night.
To will, implies delay, therefore now do:
Hard deeds, the body’s pains; hard knowledge too
The mind’s endeavours reach, and mysteries
Are like the Sun, dazzling, yet plain to all eyes.”
—John Donne (1572–1631)