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With respect to the subjective and nonlinear factors inherent in the importance identification of a fault tree analysis (FTA), a new importance measure of FTA is proposed based upon possibilistic information entropy. After investigating the possibilistic information semantics, measure-theoretic terms and entropy-like models, a two-dimensional framework is constructed by combining both the set theory...
The concept and structure of P-sets is given. By using the dynamic characteristics of P-sets, the concepts of f̅ -memory knowledge, f̅ -memory factor, f̅ -memory coefficient, outer P-memory knowledge and outer P-memory coefficient are proposed. Moreover, by employing these concepts above f̅ -memory knowledge chain theorem, f̅ -memory knowledge granularity theorem, outer P-memory knowledge granularity...
In the paper, we generalize the conception of absolute continuity to the non-additive set functions on T∞-tribe. Based on the operators of triangular norm, the equivalences among different types of absolute continuity of non-additive set functions on T∞-tribe are established.
In this paper, the connection of the 4-valued inverse order nested sets and topos theory is considered. The category QNS of the 4-valued inverse order nested sets is constructed. It is shown that in the category QNS exist Equalizers, Finite Products, Terminal Objects, Exponentials and Subobject Classifiers. Consequently the category QNS forms a topos.
A new approach to knowledge acquisition in interval-valued decision information system is proposed. In an interval-valued information system, by using the similarity degree of two different objects, a fuzzy similarity matrix, which generates a tolerance relation with a given level, is constructed. The universe of discourse is classified by the maximal tolerance classes based on the tolerance relation,...
An adaptive k-nearest neighbor algorithm (AdaNN) is brought forward in this paper to overcome the limitation of the traditional k-nearest neighbor algorithm (kNN) which usually identifies the same number of nearest neighbors for each test example. It is known that the value of k has crucial influence on the performance of the kNN algorithm, and our improved kNN algorithm focuses on finding out the...
The paper gave a computing method of fuzzy weight based on rough set theory in the fuzzy expert system, defined integrate weight of fuzzy knowledge by subjective weight of expert experience and impersonal weight about rough set theory. And gave the application in the Sheep Diseases Curing Network Expert System.
Aiming to these presented frequent neighboring class set mining algorithms have some repeated computing and redundancy candidate frequent neighboring class set when these algorithms extract frequent neighboring class set, this paper proposes an algorithm of mining frequent neighboring class set based on increasing sequence, which is suitable for mining frequent neighboring class set of objects in...
A new fuzzy multi-objective decision-making model based on vague set theory and entropy method is presented in this paper. In the proposed model, the alternative schemes are weighted evaluation according to the integrated vague value of its elements relative to the ideal scheme. In order to calculate attributes weights objectively and accurately, a modified entropy weights calculation formula is proposed...
In the human resources management system, to evaluate the capabilities of the enterprise leaders is a key and pressing step in the selection or the assessment of business management capabilities in the competitive world, while rough set method is suitable to meet this requirement. In order to provide a scientific and effective reference for discriminating the screening quality of the business leaders,...
Case based reasoning (CBR) is very important task in data mining, but privacy information will be disclosed easily in CBR. This paper presents random locally linear embedding (LLE) on encrypted case based reasoning method. In order to be ensure the security of the CBR, the parameters nearest neighbor number k and embedded space dimension d of LLE algorithm are selected randomly. Further we embed the...
The scope of ontology application is widespread, but even if in the same application field the emphasis points of different applications are different, the ontology which is suitable for some applications, but is not suitable for the other applications, this paper proposes a method of constructing knowledge discovery ontology tree for different applications based on the same ontology, it enhances...
In this paper, we present a closed labeled tree mining algorithm, FBMiner, based on the add-remove principle of closed sets which is newly introduced. Also, we propose a time-decay module to solve stream data mining which gives more attention on the latest data. Compared to the traditional mining algorithms in data stream, FBMiner performs well even that the data is of high complexity. The experiment...
The granularity is used to describe decision knowledge based on the concept of rough degree in rough theory. The rule distance are put forward, and a feasible distance formula between different rules is constructed according to the requirement of describing the distance between different rules and the definition of attribute signification in information system. Both of the n-dimensional knowledge...
The universal indicator system of water resources risk assessment has been built based on natural disaster risk theory, and it were disposed with rough set theory, which realized the attribute reduction to those indicators. Thus we can get target indicators in accordance with reality in the evaluation area and the weight of the indicators has been identified by subjective (Analytic Hierarchical Process)...
The notion of near compactness degrees is introduced in L-topological spaces by means of the implication operator of L. An L-set G is near compact if and only if its near compactness degree NCD(G) = T. Some properties of near compactness degrees are investigated.
For L a complet Heyting algebra, on any complete L-ordered sets we introduce the concepts of L-closure operators, L-closure systems and L-closure L-systems. We show that there is a one-to-one correspondence between all L-closure operators and all L-closure systems (resp., L-closure L-systems).
In order to make the design plan better reflecting the user requirement, and change the design manner from experience-driven to performance-driven design of the hydraulic press, a method of calculating the correlation between the user requirement and hydraulic press performance is proposed;Map between them is established by use of rough set theory. The result shows that this method can reflect the...
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