fuzzy set theory

fuzzy set theory : Fuzzy sets are sets whose elements have degrees of membership. Fuzzy sets were 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. Classical bivalent sets are in fuzzy set theory usually called crisp sets. A fuzzy set is a pair $(A,\; m)$ where $A$ is a set and $m :\; A\; \backslash rightarrow\; [0,1]$. For each $x\backslash in\; A$, $m(x)$ is the grade of....   More from Wikipedia

fuzzy set theory : Type-2 fuzzy sets and systems generalize (type-1) fuzzy sets and systems so that more uncertainty can be handled. From the very beginning of fuzzy sets, criticism was made about the fact that the membership function of a type-1 fuzzy set has no uncertainty associated with it, something that seems..   More from Wikipedia

  Gobi is an organizer-of-everything based on fuzzy set theory. This is a video of Preview Release 1, available on Windows and Mac. Start here before using Gobi for the first time. I outline all of the features of Gobi and how to use it. Please contact me with any questions ... Gobi Tag Node Neural Network Fuzzy Set Organize

  Lectures by Prof. Laxmidhar Behera, Department of Electrical Engineering, Indian Institute of Technology, Kanpur. For more details on NPTEL visit nptel.iitm.ac.in

Question :

Answer : Here you go...good luck http://www.aaai.org/aitopics/pmwiki/pmwiki.php/AITopics/FuzzyLogic http://www.seattlerobotics.org/encoder/mar98/fuz/flindex.html..   More from Yahoo Answers

Question : This is really a specialist question (so no daft answers please). Could someone please tell me if fuzzy set theory and rough set theory are regarded as belonging to the field of 'discrete mathematics'. I know that set theory is, so it seems to stand to reason, but I would just like confirmation of this if possible.

Answer : Yes, it is...   More from Yahoo Answers

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