On A Novel Topological Space Based on Partially Ordered Ring of Weak  Fuzzy Complex Numbers and Its Relation with The Partially Ordered  Neutrosophic Ring of Real Numbers

Raed Hatamleh

On A Novel Topological Space Based on Partially Ordered Ring of Weak Fuzzy Complex Numbers and Its Relation with The Partially Ordered Neutrosophic Ring of Real Numbers

Authors

Raed Hatamleh Department of Mathematics, Faculty of Science, Jadara University, P.O. Box 733, Irbid 21110, Jordan

Keywords:

weak fuzzy complex numbers, weak fuzzy interval, topological space, weak fuzzy complex topology.

Abstract

This work is dedicated to studying for the first time a novel topological space generated by weak
fuzzy complex intervals based on the partial ordered ring structure of weak fuzzy complex numbers, where we
build a topology structure over these intervals. Also, we present many novel results as mathematical theorems,
mathematical proofs, and many related examples. On the other hand, we use the AH-isometry to determine the
relationship between the weak fuzzy complex intervals, and neutrosophic intervals.

DOI: 10.5281/zenodo.14457896

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Published

2025-01-01

Issue

Vol. 78 (2025): Neutrosophic Sets and Systems

Section

Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Creative Commons Attribution (CC BY) license.

How to Cite

Raed Hatamleh. (2025). On A Novel Topological Space Based on Partially Ordered Ring of Weak Fuzzy Complex Numbers and Its Relation with The Partially Ordered Neutrosophic Ring of Real Numbers . Neutrosophic Sets and Systems, 78, 577-590. https://fs.unm.edu/nss8/index.php/111/article/view/5544