An Empirical Evaluation of the Stock Market Using Fuzzy Variant
Black and Scholes Model Involving Central Fuzzy Masures
K. Meenakshi1,∗, Pavithra S.1,∗, S. Sathish1,∗, Prabakaran N.2,∗
1School of Engineering, Presidency University, Bengaluru, Karnataka, India
2School of Computer Science and Engineering, Vellore Institute of Technology, Vellore, India
Emails: k.meenakshi@presidencyuniversity.in; pavithra.s@presidencyuniversity.in;
s.sathish@presidencyuniversity.in; dhoni.praba@gmail.com
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