Hüseyin KAMACI

Aralık Değerli Bulanık Parametreli Sezgisel Bulanık Esnek Kümeler ve Uygulamaları

Son yıllarda, belirsizlik içeren yapılar için farklı perspektifler sunan bulanık kümeler, aralık değerli bulanık kümeler, sezgisel bulanık kümeler ve esnek kümeler birçok araştırmacının ilgisini çekmiştir. Ayrıca, sezgisel bulanık kümeleri esnek kümelerle birleştirerek oluşturulan sezgisel bulanık esnek kümeler de geniş ölçüde çalışılmıştır. Bu çalışmada, aralık değerli bulanık parametreli sezgisel bulanık esnek küme (ADBPSBE küme) kavramı tanıtılmıştır. Bu küme, esnek kümelerin, bulanık esnek kümelerin, bulanık parametreli (bulanık) esnek kümelerin, aralık değerli bulanık parametreli (bulanık) esnek kümelerin, sezgisel bulanık esnek kümelerin ve bulanık parametreli sezgisel bulanık esnek kümelerin genelleştirilmesidir. ADBPSBE kümeler için tümleyen, birleşim ve kesişim gibi temel işlemler tanımlanmıştır. Ayrıca, bu işlemlerin özellikleri detaylı olarak araştırılmıştır. Son olarak, ADBPSBE kümeler üzerine temellenmiş birleştirme operatörlerini kullanarak bir algoritma oluşturulmuştur. Önerilen algoritmanın uygulanabilirliğini ve geçerliliğini test etmek için örnekler verilmiştir.

Interval-Valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications

In recent years, the fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets and soft sets, which offer different perspectives for the structures containing the uncertainties, have attracted the interest of many researchers. Also, the intuitionistic fuzzy soft sets produced by combining the intuitionistic fuzzy sets with the soft sets have been widely studied. In this work, the concept of interval-valued fuzzy parameterized intuitionistic fuzzy soft set (IVFPIFS set) is introduced. This set is the generalization of soft sets, fuzzy soft sets, fuzzy parameterized (fuzzy) soft sets, interval-valued fuzzy parameterized (fuzzy) soft sets, intuitionistic fuzzy soft sets and fuzzy parameterized intuitionistic fuzzy soft sets. For the IVFPIFS sets, basic operations such as complement, union and intersection are defined. Also, the properties of these operations are investigated in detail. Lastly, an algorithm by using the aggregation operators based on the IVFPIFS sets is constructed. The examples are given to verify the feasibility and validity of the proposed algorithm.

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