TY  - JOUR
AB  - Purpose– In 2005, Smarandache generalized the Atanassov's intuitionistic fuzzy sets (IFSs) to neutrosophic sets (NS), and other researchers introduced the notion of interval neutrosophic set (INSs), which is an instance of NS, and studied various properties. The notion of neutrosophic topology on the non‐standard interval is also due to Smarandache. The purpose of this paper is to study relations between INSs and topology.Design/methodology/approach– The paper investigates the possible relations between INSs and topology.Findings– Relations on INSs and neutrosophic topology.Research limitations/implications– Clearly, the paper is confined to IFSs and NSs.Practical implications– The main applications are in the mathematical field.Originality/value– The paper shows original results on fuzzy sets and topology.
VL  - 38
IS  - 3/4
SN  - 0368-492X
DO  - 10.1108/03684920910944849
UR  - https://doi.org/10.1108/03684920910944849
AU  - Gallego Lupiáñez Francisco
ED  - Mian‐yun Chen
ED  - Yi Lin
ED  - Hejing Xiong
PY  - 2009
Y1  - 2009/01/01
TI  - Interval neutrosophic sets and topology
T2  - Kybernetes
PB  - Emerald Group Publishing Limited
SP  - 621
EP  - 624
Y2  - 2024/05/10
ER  -