MOUNTAIN METHOD-BASED FUZZY CLUSTERING: METHODOLOGICAL CONSIDERATIONS
- 1 March 1995
- journal article
- research article
- Published by Taylor & Francis in International Journal of General Systems
- Vol. 23 (4) , 281-305
- https://doi.org/10.1080/03081079508908044
Abstract
The mountain method is a grid-based procedure for determining the approximate locations of cluster centers in data sets with clustering tendencies. This paper supplies additional background and detail in two important areas. In the first part of the paper, crucial methodological considerations arc discussed, including the choice of grid size, the choice of parameter values, and the notion of “peak non-reusability.” The paper also introduces the possibility of using the singular value decomposition with mountain method output as a means of estimating the number of clusters in the data. In the second pan of the paper, the mountain method is discussed as part of a general grid-based approach to the location of “objects” in spatial data. An example using Anderson's iris data is included, and an application of the method to a problem in robotics is described in detail.Keywords
This publication has 9 references indexed in Scilit:
- A cluster estimation method with extension to fuzzy model identificationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Interpolation, completion, and learning fuzzy rulesIEEE Transactions on Systems, Man, and Cybernetics, 1994
- Constrained clustering as an optimization methodPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1993
- Application of stepwise clustering method for the determination of efficient assembly sequenceIEEE Transactions on Systems, Man, and Cybernetics, 1992
- A statistical representation of imprecision in expert judgmentsInternational Journal of Approximate Reasoning, 1991
- c-means clustering with the l/sub l/ and l/sub infinity / normsIEEE Transactions on Systems, Man, and Cybernetics, 1991
- An interobject distance measure based on medial axes retrieved from discrete distance mapsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1990
- Finding Groups in DataPublished by Wiley ,1990
- Pattern Recognition with Fuzzy Objective Function AlgorithmsPublished by Springer Nature ,1981