Perception-Based Functions in Qualitative Forecasting

2006 IEEE International Conference on Systems, Man and Cybernetics

2006

The purpose of this paper is to propose a new, human consitent way to capture the very essence of a dynamic behavior of some sequences of numerical data. Instead of using traditional, notably statistical type analyses, we propose the use of fuzzy logic based linguistic summaries of data(bases) in the sense of Yager, later developed by Kacprzyk and Yager, and Kacprzyk, Yager and Zadrozny. Our main interest is in the summarization of trends characterized by: dynamics of change, duration and variability. We mainly apply Zadeh's fuzzy logic based calculus of linguistically quantified propositions that may be viewed as an element of his computing with words and perceptions paradigm.

Section: A Dynamics Of Changementioning

confidence: 99%

Capturing the Essence of a Dynamic Behavior of Sequences of Numerical Data Using Elements of a Quasi-natural Language

2006 IEEE International Conference on Systems, Man and Cybernetics

2006

“…In [1], [2] there are presented many methods of constructing such a fuzzy granulation. The user may define a membership function of a particular linguistic term depending on his or her needs.…”

Section: A Dynamics Of Changementioning

confidence: 99%

Using a Genetic Algorithm to Derive a Linguistic Summary of Trends in Numerical Time Series

2006 International Symposium on Evolving Fuzzy Systems

2006

The purpose of this paper is to propose a new easily implementable approach to a linguistic summarization of trends that may occur in temporal data, to be more specific -time series. To characterize the trends in time series, we use three parameters: dynamics of change, duration and variability, and apply to them the fuzzy linguistic summaries of data (databases) in the sense of Yager (cf. Yager [13], Kacprzyk and Yager [7] and Kacprzyk, Yager and Zadrozny [8]) which in the form of natural language-like sentences subsume the very essence of a set of data. A genetic algorithm is used to generate the linguistic summaries sought.

“…Thus, a linguistic summary may be exemplified by T(most of employees earn low salary) = 0.7 (2) A richer form of a linguistic summary may include a qualifier (e.g. young) as in, e.g., T(most of young employees earn low salary) = 0.9 (3) Thus, basically, the core of a linguistic summary is a linguistically quantified proposition in the sense of Zadeh [21].…”

Section: Linguistic Summariesmentioning

confidence: 99%

“…In fact, each term represents a fuzzy While summarizing trends we should consider the follow-granule of directions. In [1], [2] there are presented many ing three factors:…”

Section: A Dynamics Of Changementioning

confidence: 99%

On some types of linguistic summaries of time series

2006 3rd International IEEE Conference Intelligent Systems

2006

The purpose of this paper is to propose the use of linguistic quantifiers for the linguistic summarisation of time series, notably in terms of trends. To characterize the data trends, we use three parameters: dynamics of change, duration and variability and apply to them the fuzzy linguistic summaries of data (databases) in the sense of Yager. We introduce the two types of linguistic summaries, one based on frequency and one based on duration.