The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
The property of being consistent is most important for any fuzzy reasoning method. In this paper, the definitions of the consistencies of Generalized Modus Ponens (GMP) and Generalized Modus Tollens (GMT) for multiple rules with thresholds are proposed. Then some examples are given to show the existing fuzzy reasoning methods are not generally consistent for multiple rules. Consequently, a consistent...
To make D-S evidence theory manage imprecise and fuzzy information effectively in evidential reasoning, a novel generalization method of evidence theory to fuzzy sets is proposed. In the method, it discards the max and min operators in previous generalization methods based on fuzzy inclusion measure, and the distance measure of fuzzy sets is introduced to calculate the contribution of one fuzzy focal...
Discretization of continuous-valued attributes is always one of the key problems in rough sets theory, a multiscale rough set model (MRSM) is developed that describes the discretization at multiple scales and analyzes the relation of classifications and certainty between scales. In view of the model's efficiency and effectiveness. an optimal scale can be acquired with self-organization, self-study...
The inclusion measure indicates the degree that a fuzzy set is contained in another fuzzy set and can be used in many fields. However, the inclusion measure between type-2 fuzzy sets has received little attention. Hence in this paper, we propose an inclusion measure for general type-2 fuzzy sets. Firstly, we select an axiomatic definition for the new inclusion measure. Then, according to the selected...
In this paper, we introduce the concepts of Sh-interval valued fuzzy left ideal, Sh-interval valued fuzzy right ideal, Sh-interval valued fuzzy ideal and extension principle of interval valued fuzzy set, investigate some properties and propose some theorems for homomorphic image and its inverse image on Sh-interval valued fuzzy ideal. Finally, we investigate some properties on character of Sh-interval...
Description Logics (DL) has become popular knowledge representation formalisms for various applications in the Semantic Web. However, DL has its limit in knowledge representation ability as it can only represent one free variable at a time. Compared to DL, Horn logic covers different but overlapping areas of knowledge representation. This paper presents an approach to build Horn logic based rules...
In an ordered decision information system, dominance-based rough set approach (DRSA) were used to compute reducts of the system which preserve the lower and upper approximations of upward union and downward union of decision classes. Recently, class-based reducts (L-reduct and U-reduct) which preserve respectively lower and upper approximates of each decision classes was proposed. In this paper, we...
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,...
A fuzzy decision tree can be constructed from a training set of cases and converted into a set of fuzzy rules. In this paper, the reasoning ability of four inductive operators, which are used for applying fuzzy rules to classification, are analyzed and compared. The purpose of this study is to show some useful guidelines on how to choose an appropriate operator for classified problem.
The integrative index algorithm, also known as simultaneous in-one algorithm, which has high value and deserves further research. This article first introduces relevant definitions, and gives specific examples of multi-pattern in-one; then analyzed the calculation process of multi-mode in-one. On this basis, gave an algorithm with the name of “graph retrieve”. Experimental results indicate that the...
In this paper, an architecture using process inference for process planning in manufacturing process has been developed. This architecture is built based on a knowledge base, a resource database and an automatic reasoning kernel. In the automatic reasoning kernel, the generation process of process plan is analyzed and relevant reasoning rules, as well as reasoning engines are defined based on corresponding...
This paper focus on establishing in a unified way metric structures on some MTL-algebras. Let M be one of the R0-algebra, MV -algebra, product algebra and G-algebra, ΩM be the set of all homomorphisms from M into the real unit interval [0; 1], and μ be a probability measure on ΩM. It is proved that these MTL-algebras (R0-algebra, MV -algebra, product algebra and G-algebra) are standardly separable,...
On the basis of analyzing generalized methods of evidence reasoning to fuzzy set, a method of fuzzy-evidence reasoning based on similarity measure is proposed. Similarity measure of fuzzy sets is introduced to determine contribution factors of fuzzy focal elements to belief function and plausibility function in the method. Based on the measure, basic probability assignment values are modified and...
The purpose of this paper is to present systemic unexpected users' needs discovery (UUND) methods based on semantic networks (SN). Based on the nature of unexpected user's needs and SN, combining with hierarchical semantic network model, feature comparison model of semantic memory and spreading activation theory of semantic network, this paper outlined and formalized the basic semantic network unit...
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...
N this paper, we analyze the causal influence between variables and the transference of causal influence in fuzzy cognitive map with the related knowledge of graph theory. The algorithm of basic causal chain is proposed. Finally, an illustrative example is provided, and its results suggest that the method is very effective.
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...
A new approach based on evidential reasoning is introduced to synthesize linguistic judgment information of experts. Firstly, the basic probability assignment (BPA) of each focal element is calculated by dealing with the incomplete linguistic decision matrix given by different experts. The consistence and adjustment problem for the BPA among experts is analyzed so as to propose the rule of combination...
To avoid the defects of traditional mathematical approach evaluating on urban-rural continuum passenger transportation system, and the subjective interference to determine the index weight. A new fuzzy comprehensive evaluation method, combining with the improved analytic hierarchy process (IAHP) to determine the index weight, is introduced in this paper. This method can make up for the original defects,...
Computing with words (CWW) is an extension of fuzzy sets and fuzzy logic theory. A method of constraint retranslation for CWW based on the calculation of retranslation weights is proposed in this paper. Firstly, this paper points out the importance of closeness degree and containment degree between the fuzzy subsets of candidate words and consequent constraint in obtaining faithful retranslation result...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.