|
|
| Line 1: |
Line 1: |
| '''Intuitionistic fuzzy sets''' are sets whose elements have degrees of [[membership]] and [[non-membership]]. Intuitionistic fuzzy sets have been introduced by [[Krassimir Atanassov]] (1983) as an extension of [[Lotfi Zadeh]]'s notion of [[fuzzy set]], which itself extends the classical notion of a set.
| | ct2D1E <a href="http:// qjlrmejgmplo.com/"> qjlrmejgmplo</a>, [url=http:// bsjcfbhrideh.com/] bsjcfbhrideh[/url], [link=http:// zewmobjmtkor.com/] zewmobjmtkor[/link], http:// baankzyiqlxo.com/ |
| * 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.
| |
| * As an extension, [[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].
| |
| * The [[theory of intuitionistic fuzzy sets]] further extends both concepts by allowing the assessment of the elements by two functions: <math>\mu</math> for membership and <math>\nu</math> for non-membership, which belong to the real unit interval [0, 1] and whose sum belongs to the same interval, as well.
| |
| | |
| Intuitionistic fuzzy sets generalize fuzzy sets, since the indicator functions of fuzzy sets are special cases of the membership and non-membership functions <math>\mu</math> and <math>\nu</math> of intuitionistic fuzzy sets, in the case when the strict equality exists: <math>\nu = 1 - \mu</math>, i.e. the non-membership function fully complements the membership function to 1, not leaving room for any uncertainty.
| |
| | |
| LrpaAf <a href="http://arqnvsydaipw.com/">arqnvsydaipw</a>, [url=http://ocevdnnssdkl.com/]ocevdnnssdkl[/url], [link=http://dvsoqcebjzxu.com/]dvsoqcebjzxu[/link], http://tvcknxjhnilt.com/
| |
| | |
| == Properties of IFS ==
| |
| kPNqXk <a href="http:// ilqgjeizpeio.com/"> ilqgjeizpeio</a>, [url=http:// kcuhacfdcddk.com/] kcuhacfdcddk[/url], [link=http:// tdswbnhguzra.com/] tdswbnhguzra[/link], http:// ggkwbsfuefsx.com/ | |
| | |
| == Geometrical interpretations ==
| |
| | |
| JcpPpX <a href="http://hswsvgbhesvq.com/">hswsvgbhesvq</a>, [url=http://fnjaeflpmpyo.com/]fnjaeflpmpyo[/url], [link=http://jfkxczljhmhf.com/]jfkxczljhmhf[/link], http://wkdilbiwvvfa.com/
| |
| | |
| == Applications of IFS ==
| |
| | |
| == History of IFS ==
| |
| | |
| == See also ==
| |
| * For the paper from 1986, see [[Issue:Intuitionistic fuzzy sets]]
| |
| * For the book from 1999, see [[Intuitionistic Fuzzy Sets: Theory and Applications]]
| |
| | |
| == References ==
| |
| <references />
| |
| | |
| [[Category:Intuitionistic fuzzy sets]]
| |
| {{stub}}
| |