Applications of Neutrosophy to Education Sciences
Neutrosophy, Plithogeny, Artificial Intelligence & Pedagogy:
Table of Contents
0. Introduction I. Neutrosophy, Generative AI & Teaching II. Educational Assessment & Quality III. Critical Thinking, Ancestral Worldviews & AI Ethics IV. Language Teaching V. ICT, Digital Skills & E-learning VI. Continuing Education, Teacher Training & Educational Psychology VII. Educational Management & Institutional Analysis VIII. Professional Competencies & University Training IX. Intercultural & Indigenous Education Relevant Special Issues Resources 0. IntroductionNeutrosophy, founded by F. Smarandache in 1995 (published 1998), studies the origin, nature and scope of neutralities and indeterminacies. The neutrosophic triplet (T, I, F) — Truth, Indeterminacy, Falsity — provides a formal framework for modeling the uncertainty inherent in educational processes: assessments with grey zones, ambivalent teacher perceptions, partial learning, multicultural contexts, and the growing complexity that generative artificial intelligence introduces in classrooms. Unlike binary approaches (true/false, pass/fail), neutrosophy recognizes that knowledge always contains degrees of truth, falsity and an indeterminacy zone that must not be ignored or oversimplified. This is particularly relevant in the era of generative AI, where the responses of large language models (LLMs) contain varying degrees of reliability and areas of uncertainty that students must learn to identify and manage. This page gathers the main published contributions connecting neutrosophy, plithogeny and related frameworks with education sciences, organized by thematic lines.
Foundations: I. Neutrosophy, Generative AI & Teaching
1. "From Complexity to Neutrosophy: A Pedagogical Proposal from N-alectics and Latin American Worldview"
Proposes guiding systems like ChatGPT, Claude or Gemini using "Neutrosophic Prompts". Instead of receiving binary or simplified answers, the student requires the AI to break down a topic into three components: Degree of Truth (T), Degree of Falsity (F), and Degree of Indeterminacy (I). Converts AI into a tool to augment the student's critical thinking rather than replace it. ResearchGate
2. "Teaching to Measure Doubt with Artificial
Intelligence: An Educational Proposal to Analyze the Causes of Violence
in Guayaquil from Indeterminacy and Uncertainty"
Neutrosophic Computing and Machine Learning (NCML), Vol. 40. Innovative educational proposal using LLMs and a neutrosophic epistemic evaluation framework so that students analyze complex social problems such as urban violence. Future teachers learn to make visible, measure, and use doubt in social research. NCML
3. "Neutrosophic Fuzzy-Set QCA Analysis of
the Impact of Generative Artificial Intelligence on the Academic
Performance of Programming Students"
NCML, Vol. 40. Uses N-fsQCA (Neutrosophic Fuzzy-Set Qualitative Comparative Analysis) to analyze the causal configurations of how generative AI actually affects university learning. The digital divide emerges as a necessary and sufficient condition for effective educational AI use.
4. "Empowering Multigrade Interdisciplinary
Assessment through Plithogenic Offsets and Artificial Intelligence for
Dynamic and Personalized Education"
Neutrosophic Sets and Systems (NSS), 92(1). The EVAL-AI-MULTIGRADE project uses accessible AI tools (no programming required) combined with Plithogenic Offsets to dynamically adapt assessments in rural multigrade classrooms, capturing uncertainty in student learning responses. Digital Repository UNM
5. "Neutrosophic Causal Analysis of Gamification Strategies for Promoting Reading Habits in Eighth-Grade Students"
NSS, 84(1). Neutrosophic causal analysis of gamification strategies to promote reading habits. Vol. 84
6. "Neutrosophic computational model for identifying trends in scientific articles using Natural Language Processing"
NSS, 84(1). Neutrosophic computational model + NLP for identifying trends in scientific articles. Vol. 84
7. "Exploring emotional dimensions in educational data: A neutrosophic sentiment analysis approach"
NSS, 84(1). Exploring emotional dimensions in educational data through neutrosophic sentiment analysis. Vol. 84 II. Educational Assessment & Quality
8. "A new method for measuring the
effectiveness of teacher evaluation instruments in improving
pedagogical performance in higher education based on the neutrosophic
2-tuple linguistic model and offset logic"
NSS, 84(1). Technique to determine the degree of effectiveness of assessment instruments on school results and their relationship with pedagogical performance in Ecuadorian higher education. Digital Repository UNM
9. "Factors Affecting Educational Quality: A
Study Using Neutrosophic Likert Scales and Fuzzy Set Qualitative
Comparative Analysis"
NSS, 71(1). Neutrosophic Likert scales + fsQCA to identify factors affecting educational quality in graduate programs at public universities. Digital Repository UNM
10. "Plithogenic Statistical Analysis of Teaching Performance in Student Autonomous Learning"
NSS, 71(1). Plithogenic statistical analysis of teaching performance in student autonomous learning. Vol. 71
11. "A Neutrosophic–fsQCA Framework for
Strategic School Management: Superset and Coincidence Analyses of
Student Social Competence"
NSS, 92(1). Neutrosophic-fsQCA framework for strategic school management with student social competence analysis. Digital Repository UNM
12. "Neutrosophic Likert Scale to Assess the User Satisfaction with Retail Software Developed by Software Engineering Students"
NSS, 84(1). Vol. 84
13. "A Neutrosophic TwoFold Algebra-Based
Framework for Evaluating Practical Teaching Quality in Fashion Design
and Technology Education"
NSS, 85(1). Neutrosophic TwoFold Algebra for evaluating practical teaching quality in creativity-centered education. Digital Repository UNM
14. "Alpha-Factor Neutrosophic Combination: A New Context for Teaching Quality in University Public Art Education Courses"
NSS, 93(1). Digital Repository UNM
15. "Neutrosophic Evaluation of Conventional and Non-Conventional Resources in Higher Education"
NSS, 84(1). Vol. 84
16. "Decision Making Methodology to Assess Big Data Professional Education in Vocational and Technical Colleges"
NSS, 82(1). Evaluation of Big Data programs in vocational education using neutrosophic VIKOR. Vol. 82
17. "A neutrosophic SERVQUAL model approach
to study the quality of teaching support services at a technological
institute in Ecuador"
NSS, 62(1). Vol. 62
18. "Neutrosophic model to determine the degree of comprehension of higher education students in Ecuador"
NSS, 26(1). Vol. 26
19. "Neutrosophic model based on the ideal distance to measure the strengthening of values in the students of Puyo university"
NSS, 26(1). Vol. 26
20. "Analysis of the Evolution of Social Competence in Students Through Research Methods Based on Neutrosophic Sets"
NSS, 74(1). Vol. 74 III. Critical Thinking, Ancestral Worldviews & AI Ethics
21. "Multi-Neutrosophic Ayni Method Based on Ancestral Logic and N-Alectic Reasoning for Ethical AI and Sustainability"
NSS, 84(1). Uses the Andean principle of Ayni (reciprocity) and Multi-Neutrosophic Sets to evaluate ethical dilemmas in deploying AI in Indigenous communities. Introduces the Euclidean Multi-Neutrosophic Consensus Measure. Demonstrates how engineering and AI education must integrate plural knowledge and non-Western worldviews. Digital Repository UNM
22. "Neutrosophic Cognitive Maps to Analyze
Barriers and Opportunities in the Development of Critical Thinking
through Inquiry Strategies in Public Universities"
NSS, 84(1). Neutrosophic cognitive maps to analyze barriers and opportunities in developing critical thinking through inquiry strategies in public universities. Digital Repository UNM
23. "Neutrosophic Psychology of Teachers:
Addressing Perceptions of Uncertainty and Motivation in the
Implementation of Thinking Strategies"
NSS, 84(1). Quantifies contradictions in teachers' beliefs (e.g., coexistence of genuine motivation and external pressures) using neutrosophic numbers and adaptive surveys. Digital Repository UNM
24. "From Di-alectics to N-alectics: Indigenous Cultures and Ancestral Philosophies in Latin America"
NSS, 81(1). From dialectics to n-alectics: Shuar cosmology, Andean Yanantin, Quetzalcóatl, and ethical decision-making through neutrosophic distance calculations. Digital Repository UNM
25. "Andean Epistemology, Ch'ixi, and Neutrosophic Logic"
NSS, 81(1). The concept of ch'ixi (simultaneous coexistence of opposites) aligns with the neutrosophic triplet (T, I, F) for culturally sensitive AI design. Digital Repository UNM
26. "Thinking about Complexity in Latin America: Contributions of Neutrosophy in Dialogue with Edgar Morin"
NSS, 84(1). Vol. 84
27. "Plural Logics and Artificial Intelligence: A Neutrosophic Approach to Causal Analysis"
Serie Científica de la Universidad de Las Ciencias Informáticas, 18(4), 341-357. Logical pluralism framework applied to causal analysis in AI, comparing csQCA, fsQCA, and nQCA. PhilArchive
28. "Plithogenic Iadov model to study
university teaching practices in the complexity of the educational
process of comprehensive training by competencies"
NSS, 62(1). Vol. 62 IV. Language Teaching
29. "Application of Neutrosophic Statistics
and the Communicative Pedagogical Model to Optimize Pronunciation
Teaching in A1 Students of Technical Careers in Higher Education"
NSS, 84(1). Neutrosophic statistics + communicative pedagogical model to optimize English pronunciation teaching (A1 level). Digital Repository UNM
30. "Evaluating English Oral Production in University Students through Google Meet Using Neutrosophic Z-Numbers"
NSS, 84(1). Vol. 84
31. "Bipolar Neutrosophic Driven Approach for
Assessing the Teaching Quality of English Language and Literature
Learning Outcomes"
NSS, 81(1). Bipolar Neutrosophic Sets for assessing English language and literature teaching quality. Digital Repository UNM
32. "A Methodological Approach to
Decision-Making Using Interval-Valued Neutrosophic Framework for
Enhancing and Evaluating English Blended Teaching Quality"
NSS, 78(1). Digital Repository UNM
33. "An Integrated Plithogenic MCDM Approach: College English Blended Teaching Quality Evaluation"
NSS, 79(1). Integrated plithogenic MCDM approach using WASPAS for college English blended teaching quality evaluation. Digital Repository UNM
34. "English for specific purposes in the
medical sciences to strengthen the professional profile: a knowledge
representation using SuperHyperSoft Sets"
NSS, 74(1). Vol. 74 V. ICT, Digital Skills & E-learning
35. "Neutrosophic PEST-SWOT Analysis on the Impact of ICT on the Academic Training of Future Systems Engineers"
NSS, 69(1). Digital Repository UNM
36. "Evaluation of the Impact of the Use of
Digital Skills on the Substantial Increase in Learning through the
Neutrosophic PEST-SWOT approach"
NSS, 74(1). Digital Repository UNM
38. "Single Valued Complex Neutrosophic Set
for Innovative Teaching Begins with Training: Evaluating the Success of
Faculty EdTech Programs"
NSS, 83(1). Digital Repository UNM
39. "Toward Better Physical Education
Outcomes: Assessing the Effectiveness of Blended Learning in Middle
School Physical Education using TreeSoft Set"
NSS, 85(1). Digital Repository UNM VI. Continuing Education, Teacher Training & Educational Psychology
40. "Evaluating Strategies of Continuing
Education for Academics Supported in the Pedagogical Model and Based on
Plithogenic Sets"
NSS, 37(1). Vol. 37
41. "SERVQUAL Neutrosophic Applied to Job Training Programs for Women in Ecuador"
NSS, 84(1). Vol. 84
42. "Neutrosophic model to measure the impact of management projects on the process of pedagogical-research training"
NSS, 26(1). Vol. 26
44. "A hybrid of ARAS and neutrosophic
2-tuple linguistic model to evaluate gender equitable policies from the
perspective of Latin American professors"
NSS, 62(1). Vol. 62 VII. Educational Management & Institutional Analysis
45. "Neutrosophic Analysis on Internalization of Higher Education in Indian Perspective"
NSS, 73(1). Neutrosophic relational maps (NRM) to analyze the internationalization of higher education in India. Digital Repository UNM
46. "Quality Management in the Faculty of Business Sciences: A Study Based on the Neutrosophic Linguistic 2-Tuple Model"
NSS, 84(1). Vol. 84
47. "Multicriteria Analysis of the Violation of the Right to Education in Young People"
NSS, 37(1). Vol. 37 VIII. Professional Competencies & University Training
48. "A Neutrosophic Approach to Evaluating Self-Perceived Professional Competency in Dentistry Students and Graduates"
NSS, 84(1). Neutrosophic Z-numbers to evaluate self-perceived professional competency in dentistry, capturing degrees of certainty, indeterminacy and contradiction in responses. Digital Repository UNM
49. "Study on the Level of Knowledge in Dental Medical Emergencies of Dentistry Students through Neutrosophic Values"
NSS, 37(1). Vol. 37
50. "A Hybrid Approach for Educational Development Assessment in Higher Education with Trapezoidal Fuzzy Neutrosophic Analysis"
Published 2025. UNM 2025 IX. Intercultural & Indigenous Education
51. "Educational Dialogues and Shuar Cultural Identity: An Approach from the Neutrosophic N-Alectics"
NSS, 84(1). Educational dialogues and Shuar cultural identity from neutrosophic n-alectics. Vol. 84
52. "Intercultural Dialogue in the Meeting on
Neutrosophy and Latin American Worldviews: A Perspective from the
Náhuat Indigenous Chair of the Technological University of El Salvador"
NSS, 84(1). Vol. 84
53. "Determining the Relationship between
Interculturality and Bilingualism in Bilingual Teaching in Peru Based
on Plithogenic Statistics"
NSS, 71(1). Vol. 71
54. "Study of knowledge and preservation of
traditional stories of the Shipibo-Konibo culture in primary school
students based on neutrosophic logic"
NSS, 71(1). Vol. 71
55. "Integration of Fuzzy Set Theory and
Neutrosophic Sets for Qualitative and Quantitative Analysis in
Inclusive Service to Native Communities of Ucayali"
NSS, 74(1). Vol. 74 Relevant Special Issues
ResourcesJournals:
Presentations and supplementary documents:
General Overview of Neutrosophy:
PhD & Postdoctoral theses: Science Library: |