Abstract
In this manuscript, we interpret the theory of bipolar complex fuzzy submodule (BCFSM) of a provided classical module over a ring by utilizing the well-known notion of bipolar complex fuzzy set (BCFS). We also devise the sum of two BCFS and investigate its related proposition for studying a few fundamental properties of the initiated BCFSM. Moreover, we investigate the cartesian product of two BCFS for developing properties of BCFSM. We also investigate that if a BCFS Ӈ1 is a BCFSM of Ӎ1, then image ӺӇ is a BCFSM of Ӎ2 and the preimage Ӻ−1Ӈ is a BCFSM of Ӎ1, where, Ӎ1 and Ӎ2 are two modules and Ӻ:Ӎ1→Ӎ2 is a module homomorphism.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
