Abstract
This article considers some information measures such as normalized divergence measure, similarity measure, dissimilarity measure, and normalized distance measure in an intuitionistic fuzzy environment (IFE), which measure the uncertainty and hesitancy, and which can be applied to the selection of alternatives in group decision problems. We introduce and study the continuity of considered measures. Next, we prove some results that can be used to generate measures for fuzzy sets as well as for Atanassov's intuitionistic fuzzy sets and we also prove some approaches to construct point measures from set measures in IFE. We define the weight set for one and many preference orders of alternatives. Next, we investigate the properties and results related to the weight set. Based on the weight set, we develop a model for finding the uncertain weights corresponding to attributes. Also, we develop a model to finding positive certain weights corresponding to each attribute by using uncertain weights. Finally, an algorithm for choosing the best alternative according to the preference orders of alternatives in decision-making problems is proposed and its validity is shown with the help of a numerical example.
Published Version
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