A Solution of Combined Disjoint Block Fuzzy Cognitive Maps under the Decision Mathematical Approach

Authors

  • Appasamy Saraswathi * Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur – 603 203, Tamilnadu, India‎. https://orcid.org/0000-0003-4777-2692
  • Seyyd Ahmad Edalatpanah Department of Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran.
  • Sanaz Hami Hassan Kiyadeh Department of Mathematics, The University of Alabama, Alabama, USA.

https://doi.org/10.22105/masi.v1i2.53

Abstract

Fuzzy optimization is a branch of mathematical optimization that utilizes fuzzy set theory to tackle uncertainty, imprecision, and vagueness in decision-making processes. Unlike traditional optimization, which relies on precise data, fuzzy optimization accommodates the ambiguous data typical in complex real-world scenarios, such as in engineering and finance. Through fuzzy sets, decision variables and constraints are represented by degrees of membership instead of fixed values, allowing a broader range of feasible solutions. This approach supports linear and nonlinear programming, making it a versatile tool in fields where incomplete data and fluctuating conditions prevail. Consequently, fuzzy optimization has become essential for solving complex, real-world problems characterized by uncertainty, offering robust, adaptable methodologies for both theoretical and applied optimization. Separately, a fuzzy mathematical approach has been applied to analyze transgender issues in Tamil Nadu using a combined disjoint block fuzzy cognitive map. This method, based on the fuzzy cognitive map concept by Kandasamy and Smarandache [1], organizes and analyzes social problems by grouping concepts in large numbers. The study is structured into four sections: solutions to transgender issues, background on the combined disjoint block FCM, analysis of hidden patterns in transgender issues, and conclusions and recommendations based on the findings.

Keywords:

FCMs‎, Combined disjoint block FCMs‎, Fixed point‎, Hidden pattern‎, Unsupervised trans-genders‎, Decision making and optimization‎

References

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Published

2024-11-12

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Vol. 1 No. 2 (2024): Management Analytics and Social Insights

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How to Cite

Saraswathi , A. ., Edalatpanah, S. A. ., & Hassan Kiyadeh, S. H. . (2024). A Solution of Combined Disjoint Block Fuzzy Cognitive Maps under the Decision Mathematical Approach. Management Analytics and Social Insights, 1(2), 246-259. https://doi.org/10.22105/masi.v1i2.53

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