Decision Making on Teachers’ adaptation to Cybergogy in Saturated Interval- valued Refined Neutrosophic overset /underset /offset Environment

Nivetha Martin, ,Department Of Mathematics, Pkn Arts And Science College, Thirumangalam, India ,Department Of Mathematics, Arul Anandar College (Autonomous), Karmathur, India ,Priya Priya.R,Florentin Smarandache

doi:10.54216/ijns.120202

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.

Highlights

Decision making is an indispensable activity but the environment is highly characterized with uncertainty
Intuitionistic sets and various forms of it are widely used in multiple attribute decision making
Ajay et al [16,17] discussed decision making techniques based on bipolar neutrosophic sets, neutrosophic cubic fuzy sets, Chakravarthy et al [18,19] expounded the implications of cyclindrical and pentagonal neutrosophic numbers in networking and mobile communication respectively

Summary

1.Introduction

Decision making is an indispensable activity but the environment is highly characterized with uncertainty. Smarandache justified the practical implications of these special kinds of sets with real life illustrations These kinds of neutrosophic sets highly influenced and motivated us to propose a fuzzy relational decision making model with saturated refined interval- valued neutrosophic oversets, undersets and offsets based on application of refined neutrosophic sets in medical diagnosis by Deli et al [28]. A relation between digital teaching skills and training methods is represented by neutrosophic sets and the relation between different kinds of teachers and the acquisition of digital skills after continuous stages of training is represented by refined neutrosophic oversets, undersets and offsets Such kinds of representations are made to reflect the impact of training on skill acquisition rate by the teachers. The paper is organized as follows: section 2 presents the basic definitions; section 3 describes about saturated refined neutrosophic sets; section 4 consists of the application of the proposed model; section 5 discusses the results and the last section concludes the work

Preliminaries

Application of the proposed decision making model

Discussion

Conclusion