Applications of some fuzzy concepts to Nexuses

The concepts of (fuzzy) N∞-submoduloid and (fuzzy) N-moduloid homomorphism are introduced, and their properties are explored. We examine the notion of a prime N∞-submoduloid within nexuses, providing conditions under which an N-submoduloid is prime. Additionally, we study the fractions induced by these structures. A review of relevant fuzzy concepts is presented, accompanied by several examples of nexuses to illustrate these ideas.