Neutrosophy for Survey Analysis in Social Sciences

The survey is a research procedure used in sociology to determinethe thoughts and feelings of a social group at a given time and context. Within the survey, the questionnaire is consideredas avery useful instrument used to measure the state ofopinionsof social groups. Although it has been demonstratedthat fuzzy responses to questionnaires are more appropriate than crispones, there may be indeterminacy and thus fuzzy processingdoesnot accurately capture the thought that the respondent wants to express, due to doubts, unclear and vague thoughts, among others. Modelingsuch scenarioby means ofneutrosophic sets providesrespondentsa greater range of possible responses and hence it is more appropriate. In this paper,we propose a method to design single-valued neutrosophic sets from questionnaires to social groups. This method, inspired by another fuzzyone, allowsus to createmembership functions of truthfulness, indeterminacy and falseness through experimental data, which will let usfindthe essence of the thought of the human group under study to be captured with greater accuracy.