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Partitions with homogeneous data form clusters, and each cluster is associated with a rule. The fuzzy sets of rules are independent from each other. Each dimension of data is tailored only for one rule6. In order to improve the precision, many optimization-based FCM models have been proposed ...
The construction of lattices and sublattices of fuzzy subgroups was initiated in the paper [2]. A typical sublattice Lfnt, which is the set of all fuzzy normal subgroups with finite range sets and a fixed tip ‘t’, was constructed in the same paper and was shown to be modular. The ...
As mentioned above, due to the fuzziness and uncertainty of people's cognition of things, all kinds of fuzzy sets emerge one after another, but in essence, any fuzzy set can’t accurately express the decision-making information given by DMs. If the decision-making information of decision-makin...
CEI Inc. Two Examples of “ Sets” 1. All employees of XYZ who are over 1.8 m in height. 2. All employees of XYZ who are tall. The first example is a classical set -- we have a universe (all XYZ employees) and a membership rule that divides the universe into members (those over...
刊名:Fuzzy sets and systems 2020年第1期 摘要:Despite the fact that fuzzy sets can generally have different domains, standard definitions of fuzzy set operations assume a common reference set for all their operands. The usual way to satisfy this precondition is to assign zero membership to elemen...
, the concept of a three-way fuzzy set (TFS for short) is presented in [32] (as the reference is written in Chinese, the link is Three-way fuzzy sets and their applications (I)). The contributions of [32] are listed as follows: (1) the notion of the TFS is presented which can...
In order to further inspire, T F S ( U ; L ) , T F S 1 ( U ) , T F S 2 ( U ) are used to denote the distinct set consisting of L three-way fuzzy sets, ordinary three-way fuzzy sets and dependent three-way fuzzy sets on U, respectively. Suppose that ( L , ∨ , ∧...
Aggregate All Outputs Since decisions are based on testing all the rules in a FIS, the rule outputs must be combined in some manner. Aggregation is the process by which the fuzzy sets that represent the outputs of each rule are combined into a single fuzzy set. Aggregation only occurs once...
they also have pouches to develop their babies just like other marsupials. Like their closest living relatives (koalas), they’re mostly found in the eastern part of Australia. What sets them apart from the other Aussie critters is their use of butts to defend themselves against predators — ...