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

In: Fuzzy Optimization, Decision-making and Operations Research

Author

Listed:
  • 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)

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.

Suggested Citation

  • M. Palanikumar & M. Suguna & Chiranjibe Jana, 2023. "Generalized Neutrosophic Sets and Their Applications for Aggregated Operators Based on Diagnostic Disease Problem," Springer Books, in: Chiranjibe Jana & Madhumangal Pal & Ghulam Muhiuddin & Peide Liu (ed.), Fuzzy Optimization, Decision-making and Operations Research, chapter 0, pages 219-240, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-35668-1_11
    DOI: 10.1007/978-3-031-35668-1_11
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