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Novel Distance Measures Over SVTN-Numbers and Their Application to Multi-Criteria Decision Making Problems

In: Neutrosophic Operational Research

Author

Listed:
  • Şerif Özlü

    (Gaziantep University)

  • İrfan Deli̇

    (Kilis 7 Aralık University)

Abstract

Distance measure is an important way to calculate distance of two subjects in real-world problems, for example, selecting a right city for investment is important for the development of a country as well as the future of the companies. In this paper, we firstly give the basic definitions and properties of single valued trapezoidal neutrosophic numbers(SVTN-numbers). Then, the various distance measures based on SVTN-numbers are obtained and supported with theorems which are related to distance measures axioms. Moreover, we develop a multi-criteria decision making method based on the proposed distance measures under SVTN-numbers. Finally, we give a numerical example in order to indicate the validity of obtained distance measures in real world.

Suggested Citation

  • Şerif Özlü & İrfan Deli̇, 2021. "Novel Distance Measures Over SVTN-Numbers and Their Application to Multi-Criteria Decision Making Problems," Springer Books, in: Florentin Smarandache & Mohamed Abdel-Basset (ed.), Neutrosophic Operational Research, pages 103-126, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-57197-9_6
    DOI: 10.1007/978-3-030-57197-9_6
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    Cited by:

    1. Luisa Sturiale & Alessandro Scuderi & Giuseppe Timpanaro, 2022. "A Multicriteria Decision-Making Approach of “Tree” Meaning in the New Urban Context," Sustainability, MDPI, vol. 14(5), pages 1-22, March.

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