Accession Number:

ADA604012

Title:

On Negations and Algebras in Fuzzy Set Theory

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV BERKELEY DEPT OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES

Personal Author(s):

• Esteva, Francesc

Report Date:

1986-03-19

Pagination or Media Count:

16.0

Abstract:

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

Descriptors:

• *ALGEBRA
• *FUZZY SETS
• SET THEORY

Subject Categories:

• Numerical Mathematics
• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE