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Fuzzy sets are sets whose elements have degrees of membership. Fuzzy sets have been introduced by Lotfi A. Zadeh (1965) as an extension of the classical notion of set. In classical set theory, the membership of elements in a set is assessed in binary terms according to a bivalent condition - an element either belongs or does not belong to the set. By contrast, fuzzy set theory permits the gradual assessment of the membership of elements in a set; this is described with the aid of a membership function valued in the real unit interval [0, 1]. Fuzzy sets generalize classical sets, since the indicator functions of classical sets are special cases of the membership functions of fuzzy sets, if the latter only take values 0 or 1.
Jacinthe Jakubowski
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When you call fuzzy set as fuzzy graph?
fuzzy graph is not a fuzzy set, but it is a fuzzy relation.
What is fuzzy function?
membership function is the one of the fuzzy function which is used to develope the fuzzy set value . the fuzzy logic is depends upon membership function
What is the difference between classical set theory and fuzzy set theory?
Classical theory is a reference to established theory. Fuzzy set theory is a reference to theories that are not widely accepted.
What is fuzzy system?
 Fuzzy inference is a computer paradigm based on fuzzy set theory, fuzzy if-then- rules and fuzzy reasoning  Applications: data classification, decision analysis, expert systems, times series predictions, robotics & pattern recognition  Different names; fuzzy rule-based system, fuzzy model, fuzzy associative memory, fuzzy logic controller & fuzzy system Fuzzy inference is a computer paradigm based on fuzzy set theory, fuzzy if-then- rules and fuzzy reasoning  Applications: data classification, decision analysis, expert systems, times series predictions, robotics & pattern recognition  Different names; fuzzy rule-based system, fuzzy model, fuzzy associative memory, fuzzy logic controller & fuzzy system
Difference between crisp set and fuzzy set?
Let A be a crisp set defined over the universe X. Then for any element x in X,either x is a member of A or not.In a fuzzy set,it is not necessary that x is the full member of the set or not a member. It can be the partial member of the set.
What has the author Valerie Cross written?
Valerie Cross has written: 'Similarity and compatibility in fuzzy set theory' -- subject(s): Fuzzy sets
Is Fuzzy the Furi a moshing?
Fuzzy is found in the Moshi Magazine. It is thought that Fuzzy is a Moshi, possibly part of a new set of Moshlings to come out in the future. Fuzzy may not be available or may only be available to those who have a Furi Monster. 001 Fuzzy the Furi [Moshi] Any 3 Hot Silly Peppers
When you get Fuzzy the Furi is he a pet or something else?
Fuzzy is found in the Moshi Magazine. It is thought that Fuzzy is a Moshi, possibly part of a new set of Moshlings to come out in the future. Fuzzy may not be available or may only be available to those who have a Furi Monster. 001 Fuzzy the Furi [Moshi] Any 3 Hot Silly Peppers
How do you get Fuzzy the Furi moshling on Moshi Monsters?
001 Fuzzy the Furi [Moshi] Any 3 Hot Silly Peppers Fuzzy is found in the Moshi Magazine. It is thought that Fuzzy is a Moshi, possibly part of a new set of Moshlings to come out in the future. Fuzzy may not be available or may only be available to those who have a Furi Monster.
What is zadeh's extension principle?
The extension principle is a basic concept in the fuzzy set theory that extends crisp domains of mathematical expressions to fuzzy domains. Suppose f(.) is a function from X to Y and A is a fuzzy set on X defined as: A=ma(x1)/x1 + ma(x2)/x2 + ...... + ma(xn)/xn Where ma is the Membership Function of A. the + sign is a fuzzy OR (Max) and the / sign is a notation (indicated the variable xi in discourse domain X - NOT DIVISION) Then the extension principle states that the image of fuzzy set A under the mapping f(.) can be expressed as a fuzzy set B, B=f(A)=ma(x1)/y1 + ma(x2)/y2 + ...... + ma(xn)/yn where yi = f(xi) , i = 1,2,3,....,n
What is fuzzy logic?
computer-based system(it contains both hard ware and software) that can process data that are incomplete or only partially correct Fuzzy logic was introduced as an artificial intelligence technique, when it was realized that normal boolean logic would not suffice. When we make intelligent decisions, we cannot limit ourselves to "true" or "false" possibilities (boolean). We have decisions like "maybe" and other shades of gray. This is what is introduced with fuzzy logic: the ability to describe degrees of truth. Example: in fuel station if you stop a fuel injecting motor at 1.55897ltrs.it can be done with the help of fuzzy logic.fuzzy has a meaning like accurate.
What is moshling 1 called on Moshi Monsters?
Moshling 1 may be Fuzzy the Furi: 001 Fuzzy the Furi [Moshi] Any 3 Hot Silly Peppers Fuzzy is found in the Moshi Magazine. It is thought that Fuzzy is possibly part of a new set of Moshlings to come out in the future. Fuzzy may not be available or may only be available to those who have a Furi Monster.
