![]() ![]() Because natural languages do not always contain enough value terms to express a fuzzy value scale, it is common practice to modify linguistic values with adjectives or adverbs. Ī linguistic variable such as age may accept values such as young and its antonym old. In fuzzy logic applications, non-numeric values are often used to facilitate the expression of rules and facts. Fuzzy set theory provides a means for representing uncertainty. These truth values can then be used to determine how the brakes should be controlled. Each function maps the same temperature value to a truth value in the 0 to 1 range. For instance, a temperature measurement for anti-lock brakes might have several separate membership functions defining particular temperature ranges needed to control the brakes properly. Applying truth values Ī basic application might characterize various sub-ranges of a continuous variable. īoth degrees of truth and probabilities range between 0 and 1 and hence may seem similar at first, but fuzzy logic uses degrees of truth as a mathematical model of vagueness, while probability is a mathematical model of ignorance. ![]() In such instances, the truth appears as the result of reasoning from inexact or partial knowledge in which the sampled answers are mapped on a spectrum. ![]() However, there are also propositions with variable answers, such as one might find when asking a group of people to identify a color. įuzzy logic has been applied to many fields, from control theory to artificial intelligence.Ĭlassical logic only permits conclusions that are either true or false. These models have the capability of recognising, representing, manipulating, interpreting, and using data and information that are vague and lack certainty. Fuzzy models or fuzzy sets are mathematical means of representing vagueness and imprecise information (hence the term fuzzy). įuzzy logic is based on the observation that people make decisions based on imprecise and non-numerical information. Fuzzy logic had, however, been studied since the 1920s, as infinite-valued logic-notably by Łukasiewicz and Tarski. The term fuzzy logic was introduced with the 1965 proposal of fuzzy set theory by Iranian Azerbaijani mathematician Lotfi Zadeh. By contrast, in Boolean logic, the truth values of variables may only be the integer values 0 or 1. It is employed to handle the concept of partial truth, where the truth value may range between completely true and completely false. For other uses, see Fuzzy logic (disambiguation).įuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. This article is about the scientific theory of that name. ![]()
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