Generalized Neutrosophic Sets and Their Applications for Aggregated Operators Based on Diagnostic Disease Problem

M. Palanikumar, M. Suguna and Chiranjibe Jana
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M. Palanikumar: Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Department of Mathematics
M. Suguna: Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Department of Mathematics
Chiranjibe Jana: Vidyasagar University, Department of Applied Mathematics with Oceanology and Computer Programming

Chapter Chapter 11 in Fuzzy Optimization, Decision-making and Operations Research, 2023, pp 219-240 from Springer

Abstract: Abstract In this chapter, we propose a novel class of neutrosophic sets, combining intuitionistic, neutrosophic, and Pythagorean neutrosophic sets. In addition to identifying their most significant characteristics, we also discuss their connections and separations. By comparing them with other neutrosophic sets in the literature, we demonstrate their significance. As shown in this example, every NSS is a GNSS, but the converse is not true. Additionally, we discuss the pre- and post-images of GNSS. By demonstrating the theory behind these sets with sickness diagnosis as an example, we demonstrate how they work. We demonstrate that this newly developed category of sets has a wider range of applications than earlier neutrosophic sets by comparing its outcomes with those reported in the literature. Generalized neutrosophic sets will have more applications than other sets.

Keywords: Generalized neutrosophic relation; Diagnostic diseases; Diabetes at different stages (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-35668-1_11

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DOI: 10.1007/978-3-031-35668-1_11

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