An Empirical Evaluation of the Stock Market Using Fuzzy Variant Black and Scholes Model Involving Central Fuzzy Measures

K.; Pavithra; S.; Prabakaran

doi:https://doi.org/10.54216/IJNS.270224

Full Length Article

Volume 27 • Issue 2 • PP: 287-296 • 2026

An Empirical Evaluation of the Stock Market Using Fuzzy Variant Black and Scholes Model Involving Central Fuzzy Measures

K. Meenakshi ^1*

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,

Pavithra S. ¹

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,

S. Sathish ¹

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,

Prabakaran N. ²

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¹School of Engineering, Presidency University, Bengaluru, Karnataka, India

²School of Computer Science and Engineering, Vellore Institute of Technology, Vellore, India

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.270224

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Received: February 08, 2025 Revised: May 28, 2025 Accepted: July 09, 2025

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Abstract

This article defines the central tendency fuzzy measures, which include the weighted fuzzy possiblistic mean and the fuzzy probability mean involving octagonal fuzzy numbers. The same is supported by a fuzzy variant of the Black-Scholes option model, in which uncertain pricing parameters such as volatility, interest rate, and stock price are described using octagonal fuzzy numbers.

Keywords

Weighted fuzzy possiblistic mean Interval-valued fuzzy expectation Octagonal fuzzy numbers Black-Scholes variant fuzzy option model

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Meenakshi, K., S., Pavithra, Sathish, S., N., Prabakaran. "An Empirical Evaluation of the Stock Market Using Fuzzy Variant Black and Scholes Model Involving Central Fuzzy Measures." International Journal of Neutrosophic Science, vol. Volume 27, no. Issue 2, 2026, pp. 287-296. DOI: https://doi.org/10.54216/IJNS.270224

Meenakshi, K., S., P., Sathish, S., N., P. (2026). An Empirical Evaluation of the Stock Market Using Fuzzy Variant Black and Scholes Model Involving Central Fuzzy Measures. International Journal of Neutrosophic Science, Volume 27(Issue 2), 287-296. DOI: https://doi.org/10.54216/IJNS.270224

Meenakshi, K., S., Pavithra, Sathish, S., N., Prabakaran. "An Empirical Evaluation of the Stock Market Using Fuzzy Variant Black and Scholes Model Involving Central Fuzzy Measures." International Journal of Neutrosophic Science Volume 27, no. Issue 2 (2026): 287-296. DOI: https://doi.org/10.54216/IJNS.270224

Meenakshi, K., S., P., Sathish, S., N., P. (2026) 'An Empirical Evaluation of the Stock Market Using Fuzzy Variant Black and Scholes Model Involving Central Fuzzy Measures', International Journal of Neutrosophic Science, Volume 27(Issue 2), pp. 287-296. DOI: https://doi.org/10.54216/IJNS.270224

Meenakshi K, S. P, Sathish S, N. P. An Empirical Evaluation of the Stock Market Using Fuzzy Variant Black and Scholes Model Involving Central Fuzzy Measures. International Journal of Neutrosophic Science. 2026;Volume 27(Issue 2):287-296. DOI: https://doi.org/10.54216/IJNS.270224

K. Meenakshi, P. S., S. Sathish, P. N., "An Empirical Evaluation of the Stock Market Using Fuzzy Variant Black and Scholes Model Involving Central Fuzzy Measures," International Journal of Neutrosophic Science, vol. Volume 27, no. Issue 2, pp. 287-296, 2026. DOI: https://doi.org/10.54216/IJNS.270224

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