Abstract
In this paper we study properties of fuzzy linear maps over fuzzy vector spaces. As a powerful tool, exact sequences of fuzzy linear maps are introduced and a foundational frame of fuzzy homology is established. We define a series of important concepts, such as fuzzy weak isomorphism, the kernel of a fuzzy linear map and quasi-monicity, and deal with short exact sequences of fuzzy linear maps. Specially, we obtain an analogy of the First Isomorphism Theorem and discuss split exactness of short sequences of fuzzy linear maps. The relations between two short exact sequences of fuzzy linear maps linked by fuzzy linear maps and discuss the stability of some Finally we introduce the complex of fuzzy linear maps and discuss the stability of some complexes.
Sign-in/Register to access full text options 
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
