First Advisor

Ge Zhao

Date of Award

Spring 6-13-2025

Document Type

Thesis

Degree Name

Bachelor of Science (B.S.) in Mathematics and University Honors

Department

Mathematics and Statistics

Language

English

Subjects

Fuzzy Mathematics, Forecasting, Fuzzy Time Series, Stock Price Forecasting, Fuzzy Relation, Fuzzy Numbers

Abstract

Fuzzy mathematics looks to incorporate the vagueness that exists within the real world, specifically regarding imprecise classes, or non-numerical information expressed as "linguistic" variables. Since most traditional mathematical theories do not have the ability to be applied with the exactness that is otherwise seen in mathematics. As such, there had been many applications of fuzzy mathematics throughout many different fields of mathematics, including that of forecasting. By exploring the fundamentals of fuzzy mathematics, including fuzzy sets, operations of fuzzy sets, the surface level introduction to fuzzy logic, fuzzy relations, operations of fuzzy relations, and fuzzy time-series, this work looks to analyze a stock price forecasting model to show how fuzzy time-series can be utilized in stock price forecasting. Additionally, an enrollment forecasting model is utilized to help introduce the methods and specific operations that were utilized to generate one of the first fuzzy time-series forecasting models.

Persistent Identifier

https://archives.pdx.edu/ds/psu/44086

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