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A fuzzy cross entropy of the interval-valued intuitionistic fuzzy sets (IVIFSs) (so-called IVIFS cross entropy) is proposed by analogy with the intuitionistic fuzzy cross entropy. In its application to decision-making problems, its optimal decision-making method based on the weights of alternatives is established in which criterion values for alternatives are IVIFSs and the criterion weights are known...
An extended evaluation method for the decision-making problems of alternatives is introsuced by means of extension theory. The extended evaluation method can carry out the decision-making problems of the alternatives based on matter-element models and extended relational degrees. The matter-element model of the desired alternative (ideal alternative) and the matter-element models of alternatives are...
Aimed at a generalization of the concept of fuzzy sets-vague sets that involve three dimension meaning (certainty, negation, and uncertainty) in a vague set, an improved mean similarity measure between vague sets and its decision-making method are presented when the influence of uncertain degree (hesitancy degree) on certain degree and negative degree were considered in similarity measures between...
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