A New Development of Entropy and Similarity Measures in Temporal Complex Neutrosophic Environments for Tourist Destination Selection

Abstract

In human existence, making decisions is a common event. Various techniques have been devised
 to tackle decision-making troubles in practical situations. Over the past ten years, a great deal of study has
 concentrated on quantifying the degree of ambiguity and unpredictability in knowledge using the concept of
 neutrosophic sets or extensions thereof. An efficient framework for handling information in decision-making
 problems involving uncertain, indeterminate, and time-related aspects is the Temporal Complex Neurosophic
 Set (TCNS). Measures of entropy and similarity can be helpful for evaluating data to solve multicriteria decision
making (MCDM) challenges in practical situations. However, TCNS information measurements were of no
 concern or relevance to the current technique. In the context of the TCNS, this work suggests multiple novel
 similarity and entropy measurements. The proposed metrics have been validated and shown to comply with
 the explicit definition of the entropy measure and similarity for the TCNS. The novel similarity and entropy
 measures on the TCNS environment are proposed in this research. The four similarity measures on the TCNS
 contain Dice, Jaccard, Cosine, and Cotangent. Also, a numerical example concerning selecting a Vietnam
 tourist destination is provided to validate the usefulness of the suggested measures. The practical application
 shows that proposed TCNS similarity and entropy metrics can produce accurate and significant outcomes for
 real-world decision-making problems

DOI: 10.5281/zenodo.13174420