Mathematics and Statistics Faculty and Staff Publications

Document Type

Article

Publication Date

10-2020

Abstract

Neutrosophic overset, neutrosophic underset and neutrosophic offset introduced by Smarandache are the special kinds of neutrosophic sets with values beyond the range [0,1] and these sets are pragmatic in nature as it represents the real life situations. This paper introduces the concept of saturated refined neutrosophic sets and extends the same to the special kinds of neutrosophic sets. The proposed concept is applied in decision making on Teacher’s adaptation to cybergogy. The decision making environment is characterized by different types of teachers, online teaching skills and various training methods. Fuzzy relation is used to match the most suitable method to the different kinds of teachers with the intervention of saturated interval valued neutrosophic refined oversets, offsets and undersets. The results obtained by applying the notion of saturated refined sets using various distance measures represent the effect of training methods on teacher’s adaptation to learner-centred teaching methods, which certainly give space to gain many insights on the relationship between quality of training and teacher’s adaptation rate. The proposed concept has wide scope and few limitations.

Publisher

American Scientific Publishing Group

Publication Title

International Journal of Neutrosophic Science

Volume

12

Issue

2

First Page

58

Last Page

71

DOI

DOI: 10.5281/zenodo.4268284

Language (ISO)

English

Keywords

neutrosophic oversets, neutrosophic offsets, neutrosophic offsets, refined sets, saturated, interval-valued sets, cybergogy

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

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