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Journal ArticleDOI

Intuitionistic fuzzy sets based method for fuzzy time series forecasting

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TLDR
A hybrid method of forecasting based on fuzzy time series and intuitionistic fuzzy sets is proposed that uses the degree of nondeterminacy to establish fuzzy logical relations on time series data.
Abstract
Fuzzy time series models are of great interest in forecasting when the information is imprecise and vague. However, the major problem in fuzzy time series forecasting is the accuracy of the forecasted values. In the present study we propose a hybrid method of forecasting based on fuzzy time series and intuitionistic fuzzy sets. The proposed model is a simplified computational approach that uses the degree of nondeterminacy to establish fuzzy logical relations on time series data. The developed model was implemented on the historical enrollment data for the University of Alabama and the forecasted values were compared with the results of existing methods to show its superiority. The suitability of the proposed method was also examined in forecasting market share prices of the State Bank of India on the Bombay Stock Exchange, India.

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Citations
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Journal ArticleDOI

Fuzzy time series forecasting method based on hesitant fuzzy sets

TL;DR: The proposed method addresses the problem of establishing a common membership grade for the situation when multiple fuzzification methods are available to fuzzify time series data.
Journal ArticleDOI

Intuitionistic Fuzzy Time Series: An Approach for Handling Nondeterminism in Time Series Forecasting

TL;DR: The notion of intuitionistic fuzzy time series to handle the nondeterminism in time series forecasting is given and an intuitionistic-fuzzy-set-based fuzzy timeseries forecasting model is also proposed.
Journal ArticleDOI

A brief review of modeling approaches based on fuzzy time series

TL;DR: This article reviews and summarizes previous research works in the FTS modeling approach from the period 1993–2013 (June), and provides a brief introduction to SC techniques.
Journal ArticleDOI

Partitions based computational method for high-order fuzzy time series forecasting

TL;DR: A computational method of forecasting based on multiple partitioning and higher order fuzzy time series that provides a better approach to enhance the accuracy in forecasted values is presented.
Journal ArticleDOI

On generalized similarity measures for Pythagorean fuzzy sets and their applications to multiple attribute decision‐making

TL;DR: A new and flexible method for Pythagorean fuzzy decision‐making using some trigonometric similarity measures based on cosine and cotangent functions and based on this method, a method for dealing with multiple attribute decision-making problems under Pythagorian fuzzy environment is developed.
References
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Journal ArticleDOI

Intuitionistic fuzzy sets

TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Journal ArticleDOI

The concept of a linguistic variable and its application to approximate reasoning—II☆

TL;DR: Much of what constitutes the core of scientific knowledge may be regarded as a reservoir of concepts and techniques which can be drawn upon to construct mathematical models of various types of systems and thereby yield quantitative information concerning their behavior.
Book

Intuitionistic Fuzzy Sets: Theory and Applications

TL;DR: The basic definitions and properties of the Intuitionistic Fuzzy Sets (IFSs) are introduced in the book and readers will find discussions on some of the IFS extensions (for example, interval-values IFSs, temporal I FSs and others) and applications.
Journal Article

Vague sets

TL;DR: A vague set is a set of objects, each of which has a grade of membership whose value is a continuous subinterval of according to the inequality of the following type: