Accession Number:

AD0608981

Title:

FUZZY SETS

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV BERKELEY ELECTRONICS RESEARCH LAB

Personal Author(s):

Report Date:

1964-11-16

Pagination or Media Count:

19.0

Abstract:

A fuzzy set is a class of objects without a precisely defined criterion 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, 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 without requiring that the fuzzy sets be disjoint.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE