The term fuzzy logic is used in this paper to describe an imprecise logical system, FL, in which the truth-values are fuzzy subsets of the unit interval with linguistic labels such as true, false, not true, very true, quite true, not very true and not very fake, etc.... As a consequence, the truth tables and the rules of inference in fuzzy logic are (i) inexact and (ii) dependent on the meaning associated with the primary truth-value true as well as the modifiers very quite.
George KlirRelated topics
false fuzzy inference interval meaning paper primary quite truth unit well etc RulesRelated quotes
The new and wonderful results of the late Dr. Boole's mathematical system of Logic appear to develop themselves as most plain and evident consequences of the self-same process of substitution, when applied to the Primary Laws of Thought. Should my notion be true, a vast mass of technicalities may be swept from our logical text-books, and yet the small remaining part of logical doctrine will prove far more useful than all the learning of the Schoolmen.
William Stanley Jevons
I can't say that anything has been "exciting". Rather, I would choose the word "interesting". Not too long ago, the Chinese University of Hong Kong conducted a survey to determine which consumer products were using Fuzzy Logic. The result was a thick report, some 150-200 pages long-washing machines, camcorders, microwave ovens, etc. What interested me wasn't the particular applications so much as the breadth of applications-so many products were incorporating Fuzzy Logic.
Lotfi A. Zadeh
His work, called Aryabhatiya, is composed of three parts, in only the first of which use is made of a special notation of numbers. It is an alphabetical system in which the twenty-five consonants represent 1-25, respectively; other letters stand for 30, 40, ...., 100 etc. The other mathematical parts of Aryabhatiya consists of rules without examples. Another alphabetic system prevailed in Southern India, the numbers 1-19 being designated by consonants, etc.
Aryabhata
In the first place, I own myself the friend to a very free system of commerce, and hold it as a truth, that commercial shackles are generally unjust, oppressive and impolitic - it is also a truth, that if industry and labor are left to their own course, they will generally be directed to those objects which are the most productive, and this in a more certain and direct manner than the wisdom of the most enlightened legislature could point out.
James Madison
By consequence I hold that no one ever did, or can do, anything for "society."... Comte invented the term altruism as an antonym for egoism, and it found its way at once into everyone's mouth, although it is utterly devoid of meaning, since it points to nothing that ever existed in mankind; This hybrid or rather this degenerate form of hedonism served powerfully to invest collectivism's principles with a specious moral sanction, and collectivists naturally made the most of it.
Albert Jay Nock