TY - CHAP
T1 - Perception-based functions in qualitative forecasting
AU - Batyrshin, Ildar
AU - Sheremetov, Leonid
PY - 2007
Y1 - 2007
N2 - Perception-based function (PBF) is a fuzzy function obtained as a result of reconstruction of human judgments given by a sequence of rules Rk: If T is Tk then S is Sk, where Tk are perception-based intervals defined on the domain of independent variable T, and Sk are perception-based shape patterns of variable S on interval Tk. Intervals Tk can be expressed by words like Between N and M, Approximately M, Middle of the Day, End of the Week, etc. Shape patterns Sk can be expressed linguistically, e.g., as follows: Very Large, Increasing, Quickly Decreasing and Slightly Concave, etc. PBF differs from the Mamdani fuzzy model which defines a crisp function usually obtained as a result of tuning of function parameters in the presence of training crisp data. PBF is used for reconstruction of human judgments when testing data are absent or scarce. Such reconstruction is based mainly on scaling and granulation of human knowledge. PBF can be used in Computing with Words and Perceptions for qualitative evaluation of relations between variables. In this chapter we discuss application of PBF to qualitative forecasting of a new product life cycle. We consider new parametric patterns used for modeling convex- concave shapes of PBF and propose a method of reconstruction of PBF with these shape patterns. These patterns can be used also for time series segmentation in perception-based time series data mining.
AB - Perception-based function (PBF) is a fuzzy function obtained as a result of reconstruction of human judgments given by a sequence of rules Rk: If T is Tk then S is Sk, where Tk are perception-based intervals defined on the domain of independent variable T, and Sk are perception-based shape patterns of variable S on interval Tk. Intervals Tk can be expressed by words like Between N and M, Approximately M, Middle of the Day, End of the Week, etc. Shape patterns Sk can be expressed linguistically, e.g., as follows: Very Large, Increasing, Quickly Decreasing and Slightly Concave, etc. PBF differs from the Mamdani fuzzy model which defines a crisp function usually obtained as a result of tuning of function parameters in the presence of training crisp data. PBF is used for reconstruction of human judgments when testing data are absent or scarce. Such reconstruction is based mainly on scaling and granulation of human knowledge. PBF can be used in Computing with Words and Perceptions for qualitative evaluation of relations between variables. In this chapter we discuss application of PBF to qualitative forecasting of a new product life cycle. We consider new parametric patterns used for modeling convex- concave shapes of PBF and propose a method of reconstruction of PBF with these shape patterns. These patterns can be used also for time series segmentation in perception-based time series data mining.
UR - http://www.scopus.com/inward/record.url?scp=34147113360&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-36247-0_4
DO - 10.1007/978-3-540-36247-0_4
M3 - Capítulo
AN - SCOPUS:34147113360
SN - 3540362444
SN - 9783540362449
T3 - Studies in Computational Intelligence
SP - 119
EP - 134
BT - Perception-based Data Mining and Decision Making in Economics and Finance
A2 - Batyrshin, Ildar
A2 - Sheremetov, Leonid
A2 - Kacprzyk, Janusz
A2 - Zadeh, Lotfi
A2 - Batyrshin, Ildar
A2 - Sheremetov, Leonid
ER -