Definition and investigation of moduloid over an ordinal nexus: A review of some fuzzy concepts

Nahidi, Esmaeil; Babaei, Hojat; Hasankhani, Abbas

doi:10.22061/jdma.2024.11243.1096

Definition and investigation of moduloid over an ordinal nexus: A review of some fuzzy concepts

Document Type : Full Length Article

Authors

Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, I. R. Iran

10.22061/jdma.2024.11243.1096

Abstract

While ordinal numbers facilitate the comparison between two infinite addresses, no studies have so far defined and investigated the use of algebraic space structures over an ordinal nexus. Here, the notions of moduloid over ordinal nexus and homomorphism between two Γ-moduloids are defined and some relations between moduloid and ordinal nexus are investigated. Moreover, some of these concepts are fuzzified. By defining the fuzzy subnexuses over a nexus N, it is shown that if S (i.e., a nonempty subset of N) is a meet closed subset then N is finite. Accordingly, the present study provides insights into the notions of N∞, moduloid and its subsets, moduloid over cyclic nexuses and its subsets, along with supremum of two addresses over ordinal nexuses.

Graphical Abstract

Keywords

References

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