Abstract
Abstract In this paper, we study the Γ-hyperrings via T-fuzzy hyperideals. By means of the use of a triangular norm T, we define, characterize and study the T-fuzzy left and right hyperideals, T-fuzzy quasi-hyperideal and bi-hyperideal in Γ-hyperrings and some related properties are investigated. Regular Γ-hyperrings are characterized in terms of T - fuzzy quasi-hyperideal and T-fuzzy bi-hyperideal. We also introduce the T-(λ, µ)-fuzzy bi-hyperideals in Γ-hyperrings and investigate some of their properties.
Keywords
Mathematics
Fuzzy logic
Norm (philosophy)
Pure mathematics
Discrete mathematics
Computer science
Law
Artificial intelligence
Political science
Subject Areas
Fuzzy and Soft Set Theory
·Management Science and Operations Research ·Social Sciences
Fuzzy Logic and Control Systems
·Artificial Intelligence ·Physical Sciences
Advanced Algebra and Logic
·Computational Theory and Mathematics ·Physical Sciences
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