Proceedings ArticleDOI
A general interpolation technique in fuzzy rule bases with arbitrary membership functions
Peter Baranyi,Tom Gedeon,László T. Kóczy +2 more
- Vol. 1, pp 510-515
Reads0
Chats0
TLDR
A general multidimensional fuzzy rule interpolation method, compared to the existing interpolation methods, that can be applied to arbitrary type of fuzzy sets, and does not require convex and normal sets in the rules.Abstract:
Presents a general multidimensional fuzzy rule interpolation method. This method, compared to the existing interpolation methods, can be applied to arbitrary type of fuzzy sets, and does not require convex and normal sets in the rules. Another important difference is the new method gives an interpretable conclusion in every case, unlike the previously published methods. As a matter of course, to apply arbitrary type of sets, the general method makes calculation necessary for "every point" of the sets. A special method, based on the theory of the general method, is introduced for application in practice, which needs low computational capacity. The specialised method uses three of the most wide spread set types in practice: the crisp, the triangular, and the trapezoidal fuzzy sets. The difference between the new and the former methods is pointed out by examples and the results of different formal methods.read more
Citations
More filters
Book
Computational Intelligence and Feature Selection: Rough and Fuzzy Approaches
Richard Jensen,Qiang Shen +1 more
TL;DR: Computational Intelligence and Feature Selection provides a high level audience with both the background and fundamental ideas behind feature selection with an emphasis on those techniques based on rough and fuzzy sets, including their hybridizations.
Journal ArticleDOI
Reduction of fuzzy rule base via singular value decomposition
TL;DR: The present work characterizes membership functions by the conditions of sum normalization (SN), nonnegativeness (NN), and normality (NO).
Journal ArticleDOI
A generalized concept for fuzzy rule interpolation
TL;DR: This paper proposes an interpolation methodology, whose key idea is based on the interpolation of relations instead of interpolating /spl alpha/-cut distances, and which offers a way to derive a family of interpolation methods capable of eliminating some typical deficiencies of fuzzy rule interpolation techniques.
Journal ArticleDOI
Fuzzy interpolative reasoning via scale and move transformations
Zhiheng Huang,Qiang Shen +1 more
TL;DR: This paper presents an interpolative reasoning method by means of scale and move transformations that can be used to interpolate fuzzy rules involving complex polygon, Gaussian or other bell-shaped fuzzy membership functions.
Journal ArticleDOI
Fuzzy Interpolation and Extrapolation: A Practical Approach
Zhiheng Huang,Qiang Shen +1 more
TL;DR: The work of Huang and Shen is extended, and the result enables both interpolation and extrapolation which involve multiple fuzzy rules, with each rule consisting of multiple antecedents.
References
More filters
Journal ArticleDOI
Outline of a New Approach to the Analysis of Complex Systems and Decision Processes
TL;DR: By relying on the use of linguistic variables and fuzzy algorithms, the approach provides an approximate and yet effective means of describing the behavior of systems which are too complex or too ill-defined to admit of precise mathematical analysis.
Journal ArticleDOI
An Experiment in Linguistic Synthesis with a Fuzzy Logic Controller
E.H. Mamdani,S. Assilian +1 more
TL;DR: Fuzzy logic is used to convert heuristic control rules stated by a human operator into an automatic control strategy, and the control strategy set up linguistically proved to be far better than expected in its own right.
Journal ArticleDOI
Ordering, distance and closeness of fuzzy sets
László T. Kóczy,Kaoru Hirota +1 more
TL;DR: The fuzzy distance of two C NF sets can be defined, and by this distance, closeness and similarity of CNF sets, as well.
Journal ArticleDOI
A proposal on approximate reasoning based on revision principle and fixed value law
Li Ya Ding,Masao Mukaidono +1 more
TL;DR: According to the fixed value law, it will become possible to deduce Q' from Q by shifting the membership function, and a set of linear revising formulas will be given.
Related Papers (5)
Approximate reasoning by linear rule interpolation and general approximation
László T. Kóczy,Kaoru Hirota +1 more
Interpolative reasoning with insufficient evidence in sparse fuzzy rule bases
László T. Kóczy,Kaoru Hirota +1 more