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- Fuzzy_set abstract "In mathematics, Fuzzy sets are sets whose elements have degrees of membership. Fuzzy sets were introduced by Lotfi A. Zadeh and Dieter Klaua in 1965 as an extension of the classical notion of set. At the same time, Salii (1965) defined a more general kind of structures called L-relations, which were studied by him in an abstract algebraic context. Fuzzy relations, which are used now in different areas, such as linguistics (De Cock, et al, 2000), decision-making (Kuzmin, 1982) and clustering (Bezdek, 1978), are special cases of L-relations when L is the unit interval [0, 1].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. In fuzzy set theory, classical bivalent sets are usually called crisp sets. The fuzzy set theorycan be used in a wide range of domains in which information is incomplete or imprecise, such as bioinformatics.It has been suggested by Thayer Watkins that Zadeh's ethnicity is an example of a fuzzy set because "His father was Turkish-Iranian (Azerbaijani) and his mother was Russian. His father was a journalist working in Baku, Azerbaijan in the Soviet Union...Lotfi was born in Baku in 1921 and lived there until his family moved to Tehran in 1931."".
- Fuzzy_set wikiPageExternalLink fuzzy_image_processing.htm.
- Fuzzy_set wikiPageExternalLink description.
- Fuzzy_set wikiPageExternalLink Fuzzy_sets.
- Fuzzy_set wikiPageExternalLink fuzzy_analysis.
- Fuzzy_set wikiPageExternalLink fuzziness.
- Fuzzy_set wikiPageID "56601".
- Fuzzy_set wikiPageRevisionID "604969924".
- Fuzzy_set hasPhotoCollection Fuzzy_set.
- Fuzzy_set subject Category:Fuzzy_logic.
- Fuzzy_set subject Category:Systems_of_set_theory.
- Fuzzy_set type Artifact100021939.
- Fuzzy_set type Instrumentality103575240.
- Fuzzy_set type Object100002684.
- Fuzzy_set type PhysicalEntity100001930.
- Fuzzy_set type System104377057.
- Fuzzy_set type SystemsOfSetTheory.
- Fuzzy_set type Whole100003553.
- Fuzzy_set comment "In mathematics, Fuzzy sets are sets whose elements have degrees of membership. Fuzzy sets were introduced by Lotfi A. Zadeh and Dieter Klaua in 1965 as an extension of the classical notion of set. At the same time, Salii (1965) defined a more general kind of structures called L-relations, which were studied by him in an abstract algebraic context.".
- Fuzzy_set label "Conjunto difuso".
- Fuzzy_set label "Ensemble flou".
- Fuzzy_set label "Fuzzy set".
- Fuzzy_set label "Insieme sfocato".
- Fuzzy_set label "Vage verzameling".
- Fuzzy_set label "Zbiór rozmyty".
- Fuzzy_set label "Нечёткое множество".
- Fuzzy_set label "مجموعة ضبابية".
- Fuzzy_set label "ファジィ集合".
- Fuzzy_set label "模糊集".
- Fuzzy_set sameAs Teorie_fuzzy_množin.
- Fuzzy_set sameAs Conjunto_difuso.
- Fuzzy_set sameAs Ensemble_flou.
- Fuzzy_set sameAs Insieme_sfocato.
- Fuzzy_set sameAs ファジィ集合.
- Fuzzy_set sameAs 퍼지_집합.
- Fuzzy_set sameAs Vage_verzameling.
- Fuzzy_set sameAs Zbiór_rozmyty.
- Fuzzy_set sameAs m.0fm_x.
- Fuzzy_set sameAs Q1055058.
- Fuzzy_set sameAs Q1055058.
- Fuzzy_set sameAs Fuzzy_set.
- Fuzzy_set wasDerivedFrom Fuzzy_set?oldid=604969924.
- Fuzzy_set isPrimaryTopicOf Fuzzy_set.