Abstract
This paper deals with a special class of hyperalgebra, called Boolean hyperalgebra, which is redefined in it. We introduce the concepts of generalized intuitionistic fuzzy subhyperalgebras and generalized intuitionistic fuzzy hyperideals of Boolean hyperalgebras. A necessary and sufficient condition for an intuitionistic fuzzy subset of the Boolean hyperalgebra to be a generalized intuitionistic fuzzy subhyperalgebra (hyperideal) is proved. Images and inverse-images of generalized intuitionistic fuzzy subhyperalgebra (hyperideal) under Boolean hyperalgebra homomorphism are studied.
Keywords
Mathematics
Discrete mathematics
Fuzzy logic
Homomorphism
Class (philosophy)
Algebra over a field
Inverse
Pure mathematics
Computer science
Artificial intelligence
Subject Areas
Fuzzy and Soft Set Theory
·Management Science and Operations Research ·Social Sciences
Advanced Algebra and Logic
·Computational Theory and Mathematics ·Physical Sciences
Fuzzy Logic and Control Systems
·Artificial Intelligence ·Physical Sciences
Citations by Year
2025: 1
Loading…
Loading…