Fuzzy Sets

  title={Fuzzy Sets},
  author={Lotfi A. Zadeh},
  journal={Information and Control},
A fuzzy set is a class of objects with a continuum of grades of membership. Such a set is characterized by a membership (characteristic) function which assigns to each object a grade of membership ranging between zero and one. The notions of inclusion, union, intersection, complement, relation, convexity, etc., are extended to such sets, and various properties of these notions in the context of fuzzy sets are established. In particular, a separation theorem for convex fuzzy sets is proved… CONTINUE READING
Highly Influential
This paper has highly influenced 1,429 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 25,515 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.
12,202 Citations
3 References
Similar Papers


Publications citing this paper.
Showing 1-10 of 12,202 extracted citations

25,515 Citations

Citations per Year
Semantic Scholar estimates that this publication has 25,515 citations based on the available data.

See our FAQ for additional information.


Publications referenced by this paper.
Showing 1-3 of 3 references

Naive Set Theory.

  • P. l
  • 1960

Introduction to Metamathematics," p. 334

  • S. C. ILEENE
  • 1952

La t t i ce Theory,

  • Am. Math. Soc. Colloq. Publ.,
  • 1948

Similar Papers

Loading similar papers…