Neutrosophic fusion of rough set theory: An overview

Abstract Neutrosophic sets (NSs) and logic are one of the influential mathematical tools to manage various uncertainties. Among diverse models for analyzing neutrosophic information, rough set theory (RST) provides an effective way in the field of neutrosophic information analysis, and a multitude of scholars have focused on neutrosophic fusion of RST in recent years. At present, there are not comprehensive literature reviews and statistics of these generalized rough set theories and applications. This review study first explores a summarization of current neutrosophic fusion of RST from five basic aspects, i.e., rough neutrosophic sets (RNSs) and neutrosophic rough sets (NRSs), soft rough neutrosophic sets (SRNSs) and neutrosophic soft rough sets (NSRSs), mathematical foundations of RNSs and NRSs, RNSs and NRSs-based decision making, RNSs and NRSs-based other applications. Then, on the basis of the overview from five fundamental perspectives, a systematic bibliometric overview of current works with respect to neutrosophic fusion of RST is further conducted. Finally, in light of the results of this review, different challenging issues related to the main topics are listed, which are beneficial to future studies of NSs and logic.

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