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Non-linear Neutrosophic Numbers and Its Application to Multiple Criteria Performance Assessment
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Title: Non-linear Neutrosophic Numbers and Its Application to Multiple Criteria Performance Assessment |
Authors: Reig-Mullor, Javier ![](/image/ORCID.jpg) Salas-Molina, Francisco ![](/image/ORCID.jpg) |
Editor: Springer |
Department: Departamentos de la UMH::Estudios Económicos y Financieros |
Issue Date: 2022-03-16 |
URI: https://hdl.handle.net/11000/30765 |
Abstract:
The concept of fuzzy set has been extended by neutrosophic fuzzy sets to represent sets whose elements have different degrees of membership characterized by a truth-membership function, an indeterminacy-membership function and a falsity-membership function. It is usually assumed that these functions are linear, hence excluding the possibility of non-linearity in many decision-making situations. From an alternative definition of non-linear neutrosophic numbers, we develop the concepts of
-cuts, possibility mean, variance, skewness and a new possibility score function. These concepts are useful to deal with multiple criteria decision making problems. We illustrate the practical use of these concepts by means of a real case study in supply chain risk management in the motor industry. Due to the fact that neutrosophic sets have been used in several areas of decision-making, finance and economics, we argue that our proposal contributes to enhance the application of neutrosophic numbers.
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Keywords/Subjects: Neutrosophic numbers Non-linearity Multiple criteria decision making Score functions |
Knowledge area: CDU: Ciencias sociales: Economía |
Type of document: application/pdf |
Access rights: info:eu-repo/semantics/closedAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
DOI: https://doi.org/10.1007/s40815-022-01295-y |
Appears in Collections: Artículos Estudios Económicos y Financieros
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