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Cosine Neutrosophic Normal Interval-Valued Aggregation Operators to the Selection of Robotic Engineering

In: Fuzzy Optimization, Decision-making and Operations Research

Author

Listed:
  • M. Palanikumar

    (Saveetha Institute of Medical and Technical Sciences, Department of Mathematics, Saveetha School of Engineering)

  • K. Arulmozhi

    (Bharath Institute of Higher Education and Research, Department of Mathematics)

  • Chiranjibe Jana

    (Vidyasagar University, Department of Applied Mathematics with Oceanology and Computer Programming)

Abstract

We introduce some novel methods to solve multiple attribute decision-making (MADM) problems using a cosine trigonometric neutrosophic normal interval-valued set (CTri-NNIVS). A new concept of cosine trigonometric neutrosophic interval-valued set (NIVS) is introduced, which generalizes trigonometric neutrosophic set and NIVS. Our discussion will focus on aggregate operations. We introduce a novel topic of cosine trigonometric neutrosophic normal interval-valued (CTri-NNIV) weighted averaging (CTri-NNIVWA), CTri-NNIV weighted geometric (CTri-NNIVWG), CTri-NNIV generalized weighted averaging (CTri-GNNIVWA), and CTri-NNIV generalized weighted geometric (CTri-GNNIVWG). In addition, we obtain an algorithmic interaction with the MADM through these operators. The appropriateness of the Hamming distance was discussed, which will be discussed in more detail in the examples. As a final part of this chapter, some of the properties of these sets using different operations will be discussed. Furthermore, the effectiveness and reliability of the models are demonstrated through comparison with existing models. Finally, the relationship will be extended by showing some motivating details and attractive results for operators using CTri-NNIVWA, CTri-NNIVWG, CTri-GNNIVWA, and CTri-GNNIVWG.

Suggested Citation

  • M. Palanikumar & K. Arulmozhi & Chiranjibe Jana, 2023. "Cosine Neutrosophic Normal Interval-Valued Aggregation Operators to the Selection of Robotic Engineering," Springer Books, in: Chiranjibe Jana & Madhumangal Pal & Ghulam Muhiuddin & Peide Liu (ed.), Fuzzy Optimization, Decision-making and Operations Research, chapter 0, pages 519-549, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-35668-1_23
    DOI: 10.1007/978-3-031-35668-1_23
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