Completeness and Cartesian Product in Neutrosophic Rectangular n-Normed Spaces

This study introduces the new concept of neutrosophic rectangular $n$-normed spaces, along with essential foundational definitions. It then explores the Cartesian product of such spaces and examines how this operation influences their structural characteristics. The paper demonstrates that the Cartesian product of neutrosophic rectangular $n$-normed spaces retains the same structure. Furthermore, it establishes that the Cartesian product of complete neutrosophic rectangular $n$-normed spaces is itself complete, and presents several related theorems.

Authors

Institutions

Publication Details

Journal
Dera Natung Government College Research Journal
Published
2025-12-30
DOI
https://doi.org/10.56405/dngcrj.2025.10.01.02
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Completeness and Cartesian Product in Neutrosophic Rectangular n-Normed Spaces

M. Mursaleen, Mukhtar Ahmad
Dera Natung Government College Research Journal
Fuzzy and Soft Set Theory
article

Completeness and Cartesian Product in Neutrosophic Rectangular n-Normed Spaces

M. Mursaleen, Mukhtar Ahmad
article en

Abstract

This study introduces the new concept of neutrosophic rectangular $n$-normed spaces, along with essential foundational definitions. It then explores the Cartesian product of such spaces and examines how this operation influences their structural characteristics. The paper demonstrates that the Cartesian product of neutrosophic rectangular $n$-normed spaces retains the same structure. Furthermore, it establishes that the Cartesian product of complete neutrosophic rectangular $n$-normed spaces is itself complete, and presents several related theorems.

Dera Natung Government College Research JournalVol. 10(1)
Aligarh Muslim University (IN)
Openalex Percentile: Top 27%
Fuzzy and Soft Set Theory
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.