TY  - JOUR
T1  - Subsethood measure for picture fuzzy sets and its applications on multicriteria decision making
TT  - Görüntü bulanık kümelerde altkümelik ve çok kriterli karar vermeye uygulanması
AU  - Köseoğlu, Ali
PY  - 2022
DA  - April
Y2  - 2022
DO  - 10.17714/gumusfenbil.974420
JF  - Gümüşhane Üniversitesi Fen Bilimleri Dergisi
PB  - Gumushane University
WT  - DergiPark
SN  - 2146-538X
SP  - 385
EP  - 394
VL  - 12
IS  - 2
LA  - en
AB  - Picture fuzzy set is a direct generalization of intuitionistic fuzzy set and is therefore more capable of dealing with uncertainty while working on real life problems. The concept of inclusion is a subject that is frequently studied in family of fuzzy sets and has many applications in real life problems. Therefore, in this work, the measuring degree of inclusion between picture fuzzy sets is introduced. For this purpose, firstly axioms for subsethood measure are given and then a subsethood measure based on a distance measure for picture fuzzy sets is proposed. Then, a numerical example is provided to illustrate the applicability and usefulness of the presented measure. Finally, results are compared with the existing methods and aggregation operator to show validity of subsethood measure for PFS.
KW  - MCDM
KW  - Picture fuzzy sets
KW  - Subsethood measure
N2  - Görüntü bulanık küme, sezgisel bulanık kümenin doğrudan bir genellemesidir ve bu nedenle gerçek hayat problemleri üzerinde çalışırken belirsizlikle başa çıkma konusunda daha yeteneklidir. Kapsama kavramı, bulanık kümeler ailesinde sıklıkla çalışılan ve gerçek hayat problemlerinde birçok uygulaması olan bir konudur. Bu nedenle, bu çalışmada, görüntü bulanık kümeleri arasındaki kapsama derecesinin ölçülmesi tanıtılmıştır. Bu amaçla, önce altkümelik ölçüsü için aksiyomlar verilmiş, ardından görüntü bulanık kümeleri için uzaklık ölçüsüne dayalı bir altküme ölçüsü önerilmiştir. Sonra, verilen ölçünün uygulanabilirliğini ve kullanışlılığını göstermek için sayısal bir örnek verilmiştir. Son olarak, sonuçlar PFS için altkümelik ölçüsünün geçerliliğini göstermek için mevcut yöntemler ve ortalama operatörleri ile karşılaştırılmıştır.
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UR  - https://doi.org/10.17714/gumusfenbil.974420
L1  - https://dergipark.org.tr/en/download/article-file/1891784
ER  -