Akademik Veri Yönetim Sistemi
Journal of Computational and Cognitive Engineering, cilt.2, sa.4, ss.287-293, 2023 (Hakemli Dergi)
The probability fuzzy soft set
is an approach that is obtained by adding a probability degree to each
approximate element of the fuzzy soft set and is
formed by combining Fuzzy Set Theory and Soft Set Theory. This idea was later
studied in different sets, such as intuitionistic
fuzzy sets, neutrosophic fuzzy sets, Pythagorean fuzzy sets, etc. In this
paper, a new Possibility Set is defined in the
Fermatean Fuzzy environment and the essential features of new sets have been
examined. The set-theoretic operations of new
possibility sets, such as subset, soft equal, complement, union, intersection,
AND, and OR, have been characterized with the help
of elaborated examples. Their fundamental laws and properties are also discussed. A practical example concerning
quality assurance in distance education is studied to demonstrate the
applicability of new similarity measures in decision-making situations. Thus,
it has been shown that the newly given similarity measure can be successfully applied to real-world
decision problems. Finally, a comparison of the similarity of the proposed
model is made with some existing models.