Fuzzy soft ternary gamma semirings are an advanced mathematical structure that combines elements from fuzzy logic, soft set theory, ternary operations, and gamma semirings. This book provides information on Fuzzy Soft Quasi TΓ-Ideals in Fuzzy Soft TΓ-Semirings, On Fuzzy Soft Interior TΓ-Ideals, Fuzzy Soft Radicals in Fuzzy Soft TΓ-Semirings, Fuzzy Soft TΓ-Homomorphism in TΓ-Semirings. Each topic has been started with introductory part and developed gradually up to the standard form.