TY  - JOUR
T1  - Picture Fuzzy Topological Spaces with Picture Fuzzy Prevalence Effect Method for Group Decision-Making
AU  - Memiş, Samet
AU  - Naeem, Khalid
AU  - Azeem, Sumbul
PY  - 2025
DA  - June
Y2  - 2025
DO  - 10.47000/tjmcs.1615488
JF  - Turkish Journal of Mathematics and Computer Science
JO  - TJMCS
PB  - Matematikçiler Derneği
WT  - DergiPark
SN  - 2148-1830
SP  - 212
EP  - 231
VL  - 17
IS  - 1
LA  - en
AB  - The concept of picture fuzzy sets (pf-sets) expands intuitionistic fuzzy sets to model uncertain information, mainly when handling the feedbacks ``Yes'', ``No'', and ``Abstain''. Recently, the definitions of pf-sets and their elemental operations have been revised to address some inconsistencies in Cuong’s original definitions. Building on these two studies, our first objective is to redefine the concept of picture fuzzy topology and investigate its properties, such as limit points and compactness. We then propose a group decision-making technique called the Picture Fuzzy Prevalence Effect Method (PFPEM) that leverages the properties of picture fuzzy topological spaces. Finally, we discuss the need for further research in this area.
KW  - Fuzzy sets
KW  - picture fuzzy sets
KW  - picture fuzzy topology
KW  - picture fuzzy PEM
KW  - group decision-making.
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UR  - https://doi.org/10.47000/tjmcs.1615488
L1  - https://dergipark.org.tr/en/download/article-file/4502131
ER  -