Abstract
The concept of KM‐algebras has been originated in 2019. KM‐algebra is a generalization of some of the B‐algebras such as BCK, BCI, BCH, BE, and BV and also d‐algebras. KM‐algebra serves two purposes in mathematics and computer science as follows: a tool for application in both fields and a strategy for creating the foundations. On the fuzziness of KM‐algebras, an innovative perspective on fuzzy product KM‐algebras as well as some related features is offered. Moreover, the notion of KMM‐ideals is described and also initiated the concept of the KM‐Cartesian product of fuzzy KM‐algebras, and related outcomes are examined. Some of the innovative results in fuzzy KMM‐ideals and KM‐Cartesian product of fuzzy KM‐subalgebras are analyzed, and some are as follows: arbitrary intersection of fuzzy KMM‐ideals is again a fuzzy KMM‐ideal, order reversing holds true in every KMM‐ideal, every fuzzy KM‐subalgebra is a fuzzy KMM‐ideal, and KM‐Cartesian product of two fuzzy KM‐subalgebras is again a fuzzy KM‐subalgebra.