Karar vericilere odaklanan yeni bir matematiksel model: Sanal sezgisel bulanık parametreli esnek küme

Abstract

Belirsizlik problemlerine yönelik [0,1] aralığında bir değeri doğru bir şekilde seçmek oldukça zor bir iştir. Ancak, karar vericiler tarafından ifade edilen veri kümeleri çoğu zaman [0,1] aralığındadır. Bu aralıkta ifade edilen verilere güvenerek bir karar verme sürecini yapılandırabilmek birçok hataya sebebiyet verebilir. Son zamanlarda bu duruma dikkat edebilen farklı matematiksel modeller geliştirilmiştir. Bu çalışmada bu amaca yönelik yeni bir matematiksel model olan sanal sezgisel bulanık parametreli esnek küme teorisi tanıtılmıştır. Dahası alt küme, tümleyen, birleşim, kesişim gibi bazı temel küme işlemleri de verilmiştir. Ayrıca önerilen küme teorisi için bir karar verme algoritması önerilerek bir belirsizlik problemi üzerinde nasıl uygulanabileceği örneklendirilmiştir. Son olarak karar vericiler tarafından ifade edilen değerlerin önemini vurgulayan bir karşılaştırmalı analiz verilmiştir.

Keywords

• Sezgisel bulanık parametreli esnek küme
• Sanal sezgisel bulanık parametreli esnek küme
• Karar verme

A novel mathematical model focusing on decision makers: Virtual intuitionistic fuzzy parameterized soft set

Abstract

Choosing a value in the range [0,1] correctly for uncertainty problems is a very difficult task. However, the data sets expressed by decision makers are often in the range [0,1]. Structuring a decision-making process by relying on the data expressed in this range can cause many errors. Recently, different mathematical models have been developed that can pay attention to this situation. In this study, virtual intuitionistic fuzzy parameterized soft set theory, which is a new mathematical model for this purpose, is introduced. Moreover, some basic set operations such as subset, complement, union, intersection are also given. In addition, a decision making algorithm is proposed for the proposed set theory and how it can be applied on an uncertainty problem is exemplified. Finally, a comparative analysis emphasizing the importance of values expressed by decision makers is given.

Keywords

• Intuitionistic fuzzy parameterized soft set
• Virtual intuitionistic fuzzy parameterized soft set
• Decision making

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