Critical Analysis on the Using of the Entropy in Multicriteria Decision Making Problems Under Interval-Valued Intuitionistic Fuzzy Environment

Abstract

Entropy, developed to measure information uncertainty, is taken place in the literature as an important concept after adapting to the fuzzy set theory. Fuzzy entropy gives a measure of the uncertainty of the situation, which is considered the average amount of information lost when passing from a classical pattern to the fuzzy pattern. One of the areas where entropy is used is multi-criteria decision making (MCDM) problems. In some of the studies on MCDM problems, entropy is used to calculate weights of criteria or experts, or to rank alternatives. In this study, the compatibility of entropy measures developed for the interval-valued intuitionistic fuzzy (IVIF) environment with MCDM problems is investigated. As a result of the exemplary calculations and discussions, it is seen that that the entropy functions developed for ADSB clusters does not work effectively in MCDM problems due to its theoretical properties.

Keywords

• interval -valued intuitionistic fuzzy sets
• entropy
• multi-criteria decision making

Aralık-Değerli Sezgisel Bulanık Ortamda Entropinin Çok Kriterli Karar Verme Problemlerinde Kullanılmasına İlişkin Eleştirel Analiz

Abstract

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.

Keywords

• Aralık-değerli sezgisel bulanık küme
• entropi
• çok kriterli karar verme

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