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

Şerif Özlü () and İrfan Deli̇ ()
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Şerif Özlü: Gaziantep University
İrfan Deli̇: Kilis 7 Aralık University

A chapter in Neutrosophic Operational Research, 2021, pp 103-126 from Springer

Abstract: 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.

Keywords: Neutrosophic set; Distance measure; Similarity measure; Single valued trapezoidal neutrosophic number; Multi-criteria decision making (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-57197-9_6

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DOI: 10.1007/978-3-030-57197-9_6

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