Bulanõk and Yaklaşõmlõ Sets (series A)
Journal Name:
- Çankaya University Journal of Arts and Sciences
Keywords (Original Language):
| Author Name | University of Author | Faculty of Author |
|---|---|---|
Abstract (2. Language):
In this study, fuzzy set theory proposed by Zadeh and rough set theory proposed by Pawlak are
introduced. These set theories deal with several fundamentally different type of uncertainty which can
not be properly characterized and investigated mathematically by the classical logic. After given the
fundamental concept of these two theories we investigate some important relationships between them.
We then define the upper approximations of fuzzy sets with respect to a direct product of fuzzy
normal subgroups and studied their properties.
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Abstract (Original Language):
Bu çalõşmada, klasik mantõğõn tanõmlayamadõğõ belirsiz kavramlarõn matematiksel olarak ifade
edilebilmesine olanak sağlayan Zadehin bulanõk kümeler (fuzzy sets) teorisi ve Pawlakõn yaklaşõml
õ kümeler (rough sets) teorisi üzerinde durulmuştur. Bu iki teoriyle ilgili temel kavramlar verildikten
sonra aralarõndaki bazõ önemli ilişkiler incelenmiştir. Daha sonra bulanõk normal altgruplarõn direkt
çarpõmõna göre bulanõk kümelerin üst yaklaşõmõ tanõmlanarak bazõ özellikleri verilmiştir.
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