Multi criteria decision-making (MCDM) is one of the most popular problems handled by researchers in the literature. Since the interval-valued intuitionistic fuzzy set (IVIFS) theory generates as realistic as possible evaluation of linguistic expressions, researchers have been expanding traditional MCDM methods to the IVIF environment, especially in the last decade. This study provides a literature review of the relevant articles from several academic databases on applications of IVIF-MCDM methods. The review of 131 publications addresses specific research questions. To understand the research publication trend, this review offers a visual analysis that examines the studies from different perspectives, such as application areas, IVIF-MCDM methods, citations, most relevant journals, and validation methods. One of the most remarkable results of the literature review is that most publications in this field are published in SCIE indexed journals. Another noteworthy issue is that China is the country that produces the most articles in this field. In addition, English journals are mostly selected for the publication of articles. While it is seen that the investment selection problem is chosen mostly as the application area, the TOPSIS method is preferred mostly in the applications. This study stands out as the most comprehensive one that compiles publications containing extended traditional MCDM methods for IVIF sets. This review will be an important reference for future researchers and decision-makers involved in advancing MCDM methods considering vagueness and ambiguity.

Firms must develop and implement effective inventory policies that minimize costs and maximize profits in today's market conditions where extraordinary competition is experienced. Inventory has an important place in the total assets of manufacturing enterprises. Implementation of effective inventory management policies for this important item is crucial for the future of firms. Firms can meet customer needs more effectively by controlling fewer inventories that they classify according to their importance level. In this study, which is prepared by taking advantage of this point of view, application is presented that applies multicriteria decision-making methods to determine the most important product in terms of inventory management. In the process of determining the product in the most important according to criteria determined, AHP method which is frequently used in the literature is applied for calculation weights of criteria. These weights are used in TOPSIS and VIKOR methods and results of these two methods are compared.

Many authors agree that the Interval-Valued Intuitionistic Fuzzy Set (IVIFS) theory generates as realistic as possible evaluation of real-life problems. One of the real-life problems where IVIFSs are often preferred is the Multi-Criteria Decision-Making (MCDM) problem. For this problem, the ranking of values obtained by fuzzing the opinions corresponding to alternatives is an important step, as a failure in ranking may lead to the selection of the wrong alternative. Therefore, the method used for ranking must have high performance. In this article, a new score function SKE and a new accuracy function HKE are developed to overcome the disadvantages of existing ranking functions for IVIFSs. Then, two illustrative examples of MCDM problems are presented to show the application of the proposed functions and to evaluate their effectiveness. Results show that the functions proposed have high performance and they are the eligibility for the MCDM problem.

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Bilgi belirsizliğini ölçmek için geliştirilen entropi, bulanık küme teorisine uyarlandıktan sonra önemli bir kavram olarak literatürde yer edinmiştir. Bulanık entropi, klasik bir kalıptan bulanık paterne geçerken kaybolan ortalama bilgi miktarı olarak kabul edilen durumun belirsizliğinin bir ölçüsünü sunmaktadır. Entropinin kullanıldığı alanlardan biri de çok kriterli karar verme (ÇKKV) problemleridir. ÇKKV problemleri ile ilgili çalışmaların bazılarında, kriter veya uzman ağırlıklarını hesaplamak ya da alternatifleri sıralamak için entropiden yararlanılmaktadır. Bu çalışmada, aralık-değerli sezgisel bulanık (ADSB) ortam için geliştirilen entropi fonksiyonlarının, ÇKKV problemleri ile uyumu araştırılmıştır. Gerçekleştirilen örnek hesaplamalar ve tartışmalar sonucunda, ADSB kümeler için geliştirilen entropi fonksiyonlarının, sahip olduğu teorik özelliklerden dolayı ÇKKV problemlerinde etkili çalışmadığı görülmüştür.