A Decision-Making Approach for Studying Fuzzy Relational Maps under Uncertainty

Authors

  • Appasamy Saraswathi Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur – 603 203, Tamilnadu, India‎. Author https://orcid.org/0000-0003-0529-4346
  • Seyed Ahmad Edalatpanah Department of Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran. Author https://orcid.org/0000-0001-9349-5695
  • Sanaz Hami Hassan Kiyadeh Department of Mathematics, The University of Alabama, Alabama, USA. Author

DOI:

https://doi.org/10.31181/sa22202426

Keywords:

FRM, Fixed point, Hidden pattern, Unsupervised, Transgender, Decision making and optimization

Abstract

Every kid in the womb is initially a girl. It is over time and a series of changes that the kid turns into a boy or remains a girl. When these changes are incomplete, the kid becomes transgender. This model is more applicable when the data in the first place is an unsupervised one. To define FRM we need a domain space and range space, which are disjoint in the sense of concept. In this paper, we analyze the various problems of transgender in Chennai using Fuzzy Relational Maps (FRMs). This FRM method is best suited for this study. This method was introduced by Vasantha Kandaswamy and Sultana [1] in 2000. This paper contains five sections. The first section is introductory and deals with the basics of transgender issues. The second section deals with the preliminaries of the FRM Model. The third section lists the causes and causalities of the problems of transgender. These are arrived at through the linguistic questionnaire administered to 100 trans genders, 10 parents, and three NGO leaders who have been working for their rights and rehabilitations in Chennai City. In the fourth section, we analyze the interrelationship between the causes and causalities listed in the Domain and range spaces using the FRM Model. In the Final section we give the conclusion based on our studies and suggestions.     

References

‎[1] ‎ Vasantha, W. B., & Sultana, Y. (2000). Knowledge processing with fuzzy relational maps. Ultra scientist ‎of physical sciences, 12(2), 242–246.‎

‎[2] ‎ Vasantha Kandasamy, W. B., & Sultana, Y. (2001). FRM to analyse the employee-employer relationship ‎model.‎‏ ‏Journal of bihar mathematical society, 21, 25–34. Journal Bihar Mathematical Society ‎https://www.researchgate.net/publication/266719986_FRM_to_analyze_the_employee_employer_relationship_model

‎[3] ‎ Kandasamy, W. V., Elumalai, P., & John, M. (2008). Analysis Of Health-Hazards Faced By Rag-Pickers ‎Of Chennai City Using Fuzzy Relational Maps. Mathematical modeling, 289.‎

‎[4] ‎ Divya, A., & Uduman, P. S. (2013). FRM (Fuzzy relational maps) model of hypertension problem faced ‎by adult in tamilnadu. International journal of computer applications, 82(9), 7–11. DOI:10.5120/14142-1464‎

‎[5] ‎ Kenneth, C. R., & Monica, J. (2014). Study air pollution using fuzzy relational maps. International ‎journal of computing algorithm, 3(1), 75–79. DOI:10.20894/ijcoa.101.003.001.020‎

‎[6] ‎ Rajkumar, A., Devadoss, A. V., & Praveena, N. J. P. (2013). A study on miracles through the holy bible ‎using modified induced fuzzy relational maps (MIFRM). International journal of computer applications, ‎‎75(17), 33–39.‎

‎[7] ‎ GeethaLakshmi, M., & Rajkumar, A. (2013). Problems faced by experienced women IT professionals in ‎chennai using fuzzy relational maps (FRMs). International journal of computing algorithm, 2(2), 153–155. ‎DOI:10.20894/ijcoa.101.002.002.019‎

‎[8] ‎ Devadoss, A. V., Felix, J. M. R., & Mary, M. M. P. (2013). Study on the impact of malnutrition and fruits ‎using fuzzy relational maps [presentation]. Indo-bhutan international conference on gross national ‎happiness, international journal of business intelligents (Vol. 2, pp. 236–238). ‎https://www.academia.edu/download/34276571/C4103.pdf

‎[9] ‎ Arul, J., Pathi, N., Thirusangu, K., & John, M. (2006, October). On Tensions and Causes for School ‎Dropouts åÁV An Induced Linked Fuzzy Relational Mapping (ILFRM) Analysis. In 9th Joint ‎International Conference on Information Sciences (JCIS-06). Atlantis Press. DOI: 10.2991/jcis.2006.283‎

‎[10] ‎ Bivin, M. R., Saivaraju, N., & Ravichandran, K. S. (2011). Remedy for effective cure of diseases using ‎combined neutrosophic relational maps. International journal of computer applications, 12(12), 18–23. ‎DOI:10.5120/1737-2362‎

‎[11] ‎ Kosko, B. (1986). Fuzzy cognitive maps. International journal of man-machine studies, 24(1), 65–75.‎

‎[12] ‎ Kannan, V., Appasamy, S., & Kandasamy, G. (2022). Comparative study of fuzzy floyd warshall ‎algorithm and the fuzzy rectangular algorithm to find the shortest path. AIP conference proceedings ‎‎(Vol. 2516). AIP Publishing. DOI: 10.1063/5.0110337‎

‎[13] ‎ Vidhya, K., Saraswathi, A., & Broumi, S. (2024). An efficient approach for solving time-dependent ‎shortest path problem under fermatean neutrosophic environment. Neutrosophic sets and systems, 63(1), ‎‎82–94. DOI:10.5281/zenodo.10531765‎

‎[14] ‎ Vidhya, K., & Saraswathi, A. (2023). A novel method for finding the shortest path with two objectives ‎under trapezoidal intuitionistic fuzzy Arc costs. International journal of analysis and applications, 21, 121. ‎DOI:10.28924/2291-8639-21-2023-121‎

‎[15] ‎ Prakash, Y., & Appasamy, S. (2023). Optimal solution for fully spherical fuzzy linear programming ‎problem. Mathematical modelling of engineering problems, 10(5), 1611–1618. DOI:10.18280/mmep.100511‎

‎[16] ‎ Saraswathi, A. (2019). A fuzzy-trapezoidal DEMATEL approach method for solving decision making ‎problems under uncertainty. AIP conference proceedings (Vol. 2112, p. 20076). AIP Publishing. DOI: ‎‎10.1063/1.5112261‎

‎[17] ‎ Dharmaraj, B., & Appasamy, S. (2023). Application of a modified gauss elimination technique for ‎separable fuzzy nonlinear programming problems. Mathematical modelling of engineering problems, 10(4), ‎‎1481–1486. DOI:10.18280/mmep.100445‎

‎[18] ‎ Saraswathi, A., & Mahalakshmi, S. (2024). A new approach for solving the minimal flow, shortest ‎route, maximal flow and the critical path using network. International journal of system design and ‎information processing, 12(2), 263–276.‎

‎[19] ‎ Saraswathi, A. (2024). A study on triangular fuzzy clustering model‎ under uncertainty. Uncertainty ‎discourse and applications, 1(1), 20–28.‎

‎[20] ‎ Prakash, Y., & Appasamy, S. (2024). A novel approach for multi-objective linear programming model ‎under spherical fuzzy environment and its application. Journal of intelligent and fuzzy systems, 46(2), ‎‎3259–3280. DOI:10.3233/JIFS-233441‎

‎[21] ‎ Karthick, S., Saraswathi, A., & Baranidharan, B. (2024). Neutrosophic linear fractional programming ‎problem using denominator objective restriction method. Dynamics of continuous, discrete and impulsive ‎systems series b: applications and algorithms, 31(2), 89–101.‎

‎[22] ‎ Saraswathi, A., & Nedumaran, P. (2024). Comparative study to find the critical path using triangular ‎fuzzy number. Journal of computational analysis and applications (JOCAAA), 33(05), 345–354.‎

Published

2024-09-03

How to Cite

Saraswathi, A. ., Edalatpanah, S. A. ., & Hassan Kiyadeh, S. H. . (2024). A Decision-Making Approach for Studying Fuzzy Relational Maps under Uncertainty. Systemic Analytics, 2(2), 243-255. https://doi.org/10.31181/sa22202426