مقیاس فازی

English translation: Fuzzy Logic, Fuzzy Measure

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
Persian (Farsi) term or phrase:مقیاس فازی
English translation:Fuzzy Logic, Fuzzy Measure
Entered by: TARJOMEH GAR

16:07 Nov 2, 2007
Persian (Farsi) to English translations [PRO]
Mathematics & Statistics
Persian (Farsi) term or phrase: مقیاس فازی
تبدیل داده های کیفی به کمی پیوسته با استفاده از مقیاسهای فازی انجام گرفت.
mina zand
Local time: 12:57
Fuzzy Logic, Fuzzy Measure
Explanation:
Fuzzy logic is derived from fuzzy set theory dealing with reasoning that is approximate rather than precisely deduced from classical predicate logic. It can be thought of as the application side of fuzzy set theory dealing with well thought out real world expert values for a complex problem (Klir 1997).

Degrees of truth are often confused with probabilities. However, they are conceptually distinct; fuzzy truth represents membership in vaguely defined sets, not likelihood of some event or condition. For example, if a 100-ml glass contains 30 ml of water, then, for two fuzzy sets, Empty and Full, 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. A probabilistic setting would first define a scalar variable for the fullness of the glass, and second, conditional distributions describing the probability that someone would call the glass full given a specific fullness level. Note that the conditioning can be achieved by having a specific observer that randomly selects the label for the glass, a distribution over deterministic observers, or both. While fuzzy logic avoids talking about randomness in this context, this simplification at the same time obscures what is exactly meant by the statement the 'glass is 0.3 full'.

Fuzzy logic allows for set membership values to range (inclusively) between 0 and 1, and in its linguistic form, imprecise concepts like "slightly", "quite" and "very". Specifically, it allows partial membership in a set. It is related to fuzzy sets and possibility theory. It was introduced in 1965 by Lotfi Zadeh at the University of California, Berkeley.

Fuzzy logic is controversial in some circles and is rejected by some control engineers and by most statisticians who hold that probability is the only rigorous mathematical description of uncertainty.[verification needed] Critics also argue that it cannot be a superset of ordinary set theory since membership functions are defined in terms of conventional sets.
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TARJOMEH GAR
Local time: 12:57
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4 KudoZ points were awarded for this answer



Summary of answers provided
5 +3Phase scale
Mohammad Reza Razaghi
5Fuzzy Logic, Fuzzy Measure
TARJOMEH GAR
4phase measure
Ebrahim Golavar


  

Answers


1 hr   confidence: Answerer confidence 5/5 peer agreement (net): +3
Phase scale


Explanation:
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Mohammad Reza Razaghi
Iran
Local time: 12:57
Native speaker of: Native in Persian (Farsi)Persian (Farsi)
PRO pts in category: 24

Peer comments on this answer (and responses from the answerer)
agree  yam67
28 mins
  -> Thank you!

agree  Edward Plaisance Jr
2 hrs
  -> Thanks!

agree  Armineh Johannes: armineh johannes
2 hrs
  -> Thanks!

agree  Fereidoon Keyvani
4 days
  -> Thank you!

disagree  TARJOMEH GAR: Fuzzy but not phase
44 days
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The asker has declined this answer

2 days 23 hrs   confidence: Answerer confidence 4/5Answerer confidence 4/5
phase measure


Explanation:
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Ebrahim Golavar
Native speaker of: Persian (Farsi)
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The asker has declined this answer

44 days   confidence: Answerer confidence 5/5
Fuzzy Logic, Fuzzy Measure


Explanation:
Fuzzy logic is derived from fuzzy set theory dealing with reasoning that is approximate rather than precisely deduced from classical predicate logic. It can be thought of as the application side of fuzzy set theory dealing with well thought out real world expert values for a complex problem (Klir 1997).

Degrees of truth are often confused with probabilities. However, they are conceptually distinct; fuzzy truth represents membership in vaguely defined sets, not likelihood of some event or condition. For example, if a 100-ml glass contains 30 ml of water, then, for two fuzzy sets, Empty and Full, 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. A probabilistic setting would first define a scalar variable for the fullness of the glass, and second, conditional distributions describing the probability that someone would call the glass full given a specific fullness level. Note that the conditioning can be achieved by having a specific observer that randomly selects the label for the glass, a distribution over deterministic observers, or both. While fuzzy logic avoids talking about randomness in this context, this simplification at the same time obscures what is exactly meant by the statement the 'glass is 0.3 full'.

Fuzzy logic allows for set membership values to range (inclusively) between 0 and 1, and in its linguistic form, imprecise concepts like "slightly", "quite" and "very". Specifically, it allows partial membership in a set. It is related to fuzzy sets and possibility theory. It was introduced in 1965 by Lotfi Zadeh at the University of California, Berkeley.

Fuzzy logic is controversial in some circles and is rejected by some control engineers and by most statisticians who hold that probability is the only rigorous mathematical description of uncertainty.[verification needed] Critics also argue that it cannot be a superset of ordinary set theory since membership functions are defined in terms of conventional sets.


    Reference: http://en.wikipedia.org/wiki/Fuzzy_logic
TARJOMEH GAR
Local time: 12:57
Works in field
Native speaker of: Native in Persian (Farsi)Persian (Farsi), Native in EnglishEnglish
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