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There have been numerous studies on using the FCM algorithm in clustering and collaboration clustering, especially in data analysis, data mining and pattern recognition. In this study, we present new methods involving interval Type-2 fuzzy sets to realize collaborative clustering. Data in which the clustering results realized at one data site impact clustering carried out at other data sites. Those...
This paper introduces a preliminary extension of the Fuzzy Cognitive Map (FCM) architecture based on Lattice Computing (LC) techniques namely Linguistic Fuzzy Cognitive Maps (LFCM). The proposed LFCM is able to handle large scale data in pattern classification applications. This enhancement is achieved by applying a novel data meta-representation, defined in a mathematical lattice, including several...
This article was commissioned by the 22nd IEEE International Conference of Fuzzy Systems (FUZZ-IEEE) to celebrate the 50th Anniversary of Lotfi Zadeh's seminal 1965 paper on fuzzy sets. In addition to Lotfi's original paper, this note itemizes 100 citations of books and papers deemed “important (significant, seminal, etc.)” by 20 of the 21 living IEEE CIS Fuzzy Systems pioneers. Each of the 20 contributors...
The aim of this paper is the simultaneous minimization of model error and model complexity for the Choquet integral. The Choquet integral is a generator function, that is, a parametric function that yields a wealth of aggregation operators based on the specifics of the underlying fuzzy measure (aka normal and monotonic capacity). It is often the case that we desire to learn an aggregation operator...
In this paper, a new fuzzy similarity measure is introduced with the help of the fuzzy distance measure between two generalized fuzzy numbers which is developed of fuzzy distance measure proposed in [1] to generalized fuzzy numbers and the concept is illustrated by solving several testing examples. Also it is indicate that the method proposed in this paper computes a fuzzy similarity measure value...
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