On Negations and Algebras in Fuzzy Set Theory

Abstract

Dual automorphisms, involutions and intuitionistic negations on the lattice F(X) of Fuzzy Sets taking values on a complete distributive lattice L are characterized. All Symmetric, De Morgan and Intuitionistic Algebras on F(X) and their isomorphisms are described. Finally, negation functions and their conjugated classes are characterized.

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Document Details

Document Type
Technical Report
Publication Date
Mar 19, 1986
Accession Number
ADA604012

Entities

People

  • Francesc Esteva

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Boolean Algebra
  • California
  • Computations
  • Computer Science
  • Computers
  • Fuzzy Sets
  • Information Operations
  • Intervals
  • Mathematics
  • Permutations
  • Sequences
  • Set Theory
  • Symmetry
  • Theorems
  • Topology

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.