Title: I.V. of Prime Fuzzy Bd-ideal in Bd-algebra
Authors: Esraa Kareem Kadhim
Volume: 10
Issue: 4
Pages: 181-183
Publication Date: 2026/04/28
Abstract:
The theory of fuzzy Bd-ideals plays an important role in the analysis of algebraic structures in Bd-algebras. In this paper, we introduce interval-valued prime and interval-valued semiprime fuzzy Bd-ideals and investigate their main structural properties. Several characterization theorems are established, giving necessary and sufficient conditions for these ideals to be prime or semiprime in the interval-valued fuzzy setting. Moreover, we study their behavior under algebra homomorphisms and derive preservation and correspondence results describing how these structures are transferred through algebraic mappings. The obtained results extend the theory of fuzzy Bd-ideals and contribute to the development of interval-valued fuzzy algebraic systems.