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:
“When a thought of Plato becomes a thought to me,—when a truth that fired the soul of Pindar fires mine, time is no more. When I feel that we two meet in a perception, that our two souls are tinged with the same hue, and do as it were run into one, why should I measure degrees of latitude, why should I count Egyptian years?”
—Ralph Waldo Emerson (1803–1882)
“The political truths declared in that solemn manner acquire by degrees the character of fundamental maxims of free Government, and as they become incorporated with national sentiment, counteract the impulses of interest and passion.”
—James Madison (1751–1836)
“There is one thing that the American people always rise to and extend their hand to and that is the truth of justice, and of liberty, and of peace. We have accepted that truth and we are going to led by it ... and through us the world, out into pastures of quietness and peace such as the world never dreamed of before.”
—Woodrow Wilson (1856–1924)