FUZZY SETS

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.

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Document Details

Document Type
Technical Report
Publication Date
Nov 16, 1964
Accession Number
AD0608981

Entities

People

  • L. A. Zadeh

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Ambiguity
  • Classification
  • Convex Sets
  • Electronics
  • Fuzzy Sets
  • Identities
  • Information Processing
  • Intervals
  • Military Forces (United States)
  • Military Organizations
  • Numbers
  • Pattern Recognition
  • Real Numbers
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Computer Engineering
  • Graph Algorithms and Convex Optimization.