A New Approach to Neutrosophic Soft Mappings and Application in Decision Making

Adem Yolcu (), Elif Karatas () and Taha Yasin Ozturk ()
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Adem Yolcu: Kafkas University
Elif Karatas: Kafkas University
Taha Yasin Ozturk: Kafkas University

A chapter in Neutrosophic Operational Research, 2021, pp 291-313 from Springer

Abstract: Abstract Samarandache introduced the neutrosophic set concept in 1995 to solve uncertainty data. After that, Maji introduced the concept of neutrosophic soft set by combining the neutrosophic sets and soft sets as a general mathematical tool. Due to some structural deficiencies in Maji’s study, Ozturk et al. re-defined some operations on neutrosophic soft sets. The neutrosophic soft mapping was firstly defined by Alkhazaleh et al. However, Alkhazaleh’s study does not provide some basic classical mapping properties and it has structural problems. For that reason, we propose a new approach to neutrosophic soft mapping. In this study, we re-define neutrosophic soft mappings and studied the images and inverse images of neutrosophic soft sets. Further, we investigate the basic operations and other related properties of neutrosophic soft mappings. Finally, the neutrosophic soft mapping have been applied to application in decision making.

Keywords: Neutrosophic soft sets; Neutrosophic soft mappings; Neutrosophic soft images; Neutrosophic soft inverse images (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_15

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DOI: 10.1007/978-3-030-57197-9_15

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