To measure uncertainty in generalized fuzzy rough sets, a new notion of entropy of a fuzzy set is introduced. The notion is demonstrated to be adequate for measuring the fuzziness of a fuzzy event. The entropy of a fuzzy partition and conditional entropy are also proposed. These kinds of ...
A Rough Fuzzy Set is defined as a set that combines fuzzy logic with rough set theory to handle uncertainty in information by capturing vagueness and indiscernibility through lower and upper approximations. AI generated definition based on: Recent Trends in Computational Intelligence Enabled Research, ...
8. Measuring uncertainty by extracting fuzzy rules using rough sets and extracting fuzzy rules under uncertainty and measuring definability using rough sets [R] . Worm, Jeffrey A., Culas, Donald E. 1991 机译:通过粗糙集提取模糊规则并在不确定条件下提取模糊规则并使用粗糙集测量可定义性来测量不...
uncertainty measure directly and totally based on the framework of belief function theory so that there is no switch between the frameworks of belief function theory and probability theory in that measure. However, we have found some obvious deficiencies in Yang and Han’s uncertainty measure which...
presented incremental approaches to update attribute reduct of HIS based on fuzzy rough sets when some attributes are added to or deleted from the information system [27]. Li et al. constructed a dominance matrix to compute dominating and dominated sets when the attribute set varies. Then they ...
In the DPC algorithm, the determination of cluster centers requires human selection, which leads to an increase in the uncertainty of clustering, especially in the case where the human eye cannot accurately select the cluster center in some cases. The choice of centers becomes very difficult. By...
(Footprint of uncertainity) [3] The primary membership function, which is the union of all primary memberships, has an uncertain bounded region called the footprint of uncertainty (FOU). Upper (UMF) and lower membership functions (LMF) describes FOU and are represented in terms of T1FS. ...
Selecting a supplier for emergency medical supplies during disasters can be considered a typical multiple attribute group decision-making (MAGDM) problem. MAGDM is an intriguing common problem that is rife with ambiguity and uncertainty. It becomes much
uncertainty associated with incomplete and subjective information in engineering design and analysis. The reader should note that in this paper, the possibility theory is assumed to be a part of the fuzzy theory. Zadeh used fuzzy sets as a basis for possibility since a proposition that associates ...
Within the context of QM, fuzzy theory technique is the tool to process the uncertainty in a complex problem. It can help guide decision making and forecast or assess the effects of decisions under approximate condition. 1. Fuzzy number: As an extension of a regular number which does refer ...