- Title
- Preliminary results on a new fuzzy cognitive map structure
- Creator
- Rickard, John T.; Aisbett, Janet; Yager, Ronald R.; Gibbon, Greg
- Relation
- 3rd World Conference on Soft Computing (WCSC 2013). Advance Trends in Soft Computing: Proceedings of WCSC 2013 (San Antonio, TX 16-18 December, 2013) p. 171-180
- Publisher Link
- http://dx.doi.org/10.1007/978-3-319-03674-8-17
- Publisher
- Springer
- Resource Type
- conference paper
- Date
- 2014
- Description
- We introduce a new structure for fuzzy cognitive maps (FCM) where the traditional fan-in structure involving an inner product followed by a squashing function to describe the causal influences of antecedent nodes to a particular consequent node is replaced with a weighted mean type operator. In this paper, we employ the weighted power mean (WPM). Through appropriate selection of the weights and exponents in the WPM operators, we can both account for the relative importance of different antecedent nodes in the dynamics of a particular node, as well as take a perspective ranging continuously from the most pessimistic (minimum) to the most optimistic (maximum) on the normalized aggregation of antecedents for each node. We consider this FCM structure to be more intuitive than the traditional one, as the nonlinearity involved in the WPM is more scrutable with regard to the aggregation of its inputs. We provide examples of this new FCM structure to illustrate its behavior, including convergence.
- Subject
- fuzzy cognitive maps (FCM); weighted power mean (WPM); convergence
- Identifier
- http://hdl.handle.net/1959.13/1302373
- Identifier
- uon:20467
- Identifier
- ISBN:9783319036731
- Language
- eng
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