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In order to make the solution of logic equation set more flexible, this paper establishes the sufficient and necessary conditions for the logic equation set consist of zero-one, non-zero and non-one type logic equations to hold. Moreover, the method of converting the logic equation set into zero-type or one-type equations is given, through which the logic equation set made up of zero-one, non-zero...
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...
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,...
This paper presents a novel method for multiple attribute decision making problems, in which interval numbers are used to assess the weights of attributes, and fuzzy linguistic variables are utilized to evaluate the suitability of alternatives versus various attributes. In the face of interval attribute weights, a definition of effective attribute weights and its representation are developed. Based...
Mutually-inversistic fuzzy interval logic is the integration of mutually-inversistic fuzzy logic constructed by the author and interval arithmetic. It is used to deal with the fuzziness of interval values. It can be used to mine the fuzzy interval association rules embraced in the interval-values relational databases.
In the scheme of Pawlak rough derivatives theory, functional features of roughly derived functions and higher order roughly derived functions are directed in rough function model. The valuing laws of first order and higher order roughly derived functions are given in form of a rough derivatives table. According to the difference principle of numerical analysis theory, the higher order rough derivative...
The problem of reliable control for T-S fuzzy descriptor systems with time-delay is investigated. A more practical model of actuator failures than outage is considered. Based on linear matrix inequality approach, a method of designing a less conservative reliable controller is proposed. The resultant control system is regular, impulse-free and stable for all admissible uncertainties when all control...
The Dempster-Shafer evidence theory and Choquet integral both are well-known information fusion methods, but they contain some natural common characteristics except apparent difference. In this paper we compare the two methods according to their objective function structures, parameter identification, and application. These comparable results are helpful to find the natural relationship of the two...
In machine learning classification, the classifier can be described by some rules, and the rules can be expressed by fuzzy granules corresponding to fuzzy concepts. In this paper we will introduce fuzzy information granulation to the process of building fuzzy classifier. Furthermore, we will present an optimized information granulation based machine learning classification algorithm. Experiments carried...
An annotated survey of approaches to design optimization based on possibility theory and evidence theory is presented and prominent characteristics are described in this paper, especially addressing epistemic uncertainty for large-scale and complex systems when statistical data is scarce or incomplete. We first analyze the uncertainties encountered in design and the limitations of probabilistic approach...
In this paper, hypergroups are upgraded to their power sets. And the concepts, properties and part of conclusions of hypergroups are summarized. On the basis of the theory of power group, the definition of power group on hypergroup is presented. And the characters and structures of power group on hypergroup are discussed, especially the structures of power group on qua si canonical hypergroup. The...
In this paper, the definition of order-convergence is introduced in fuzzy number Space. Relations between order-convergence and other convergence such as endograph convergence, dp convergence and level convergence are investigated. It follows that for uniformly support bounded set of fuzzy numbers, the dp metric and endograph metric are both equivalent to order-convergence in the fuzzy number space.
This paper presents a method to construct efficient and distinctive descriptors for local image features based on Scale Invariant Features Transform (SIFT), namely, Kernel Independent Component Analysis Scale Invariant Features Transform (KICA-SIFT). KICA-SIFT is a improved version of the conventional SIFT for the two reasons: first, the improved SIFT descriptors are relative invariant to affine transformation,...
There are Z - N oscillation method and reaction curve and so on in based methods classical approaches. In fuzzy PID auto-tuner conventional gain scheduling involves using extra information from the plant, environment, or user to tune (via “schedules”) the gains of a controller. We study how the two-link flexible robot operates under the “no control” situation. The robot endpoint position shows a significant...
During the oil drilling process, the quality of cementing directly impacts on following operations. According to the operating procedure of cementing, this paper classifies the effecting factors of cementing quality to two types. Classification one is displacement efficiency and another is WOC (Wait on Cement) effect. Through the methodology of multi-level fuzzy comprehensive evaluation, and via the...
Cooperative fuzzy game theory is a growing field in mathematics, economics, and computer science. To resolve the application deficiency of original P-cores for cooperative fuzzy game in distribution theory, a scheme of redistribution is presented by keeping some of the gains of the cooperative fuzzy game and distributing only part of the total value of a cooperative fuzzy game. We extend the concepts...
With the technical requirements for automated stereoscopic warehouse increasingly, the application of bend aisle stereoscopic warehouse is more and more extensive. Through taking the stereoscopic automated warehouse in Qinhuangdao as a research object, This paper describes the order picking path optimization and scheduling algorithm for bend aisle, solves the problem of a stacker's order picking in...
A new robust adaptive indirect fuzzy controller is designed based on backstepping method for a class of uncertain nonlinear systems. We proved that the final closed-loop system must be globally stable in the sense that all signals involved must be uniformly bounded and simulation results shows that the closed-loop fuzzy control system is proven to be globally stable, with tracking error converging...
The primitive notions in rough set theory are lower and upper approximation operators defined by a fixed binary relation and satisfy many interesting properties. Many types of generalized rough set models have been developed in the literature. This paper presents a general framework for the study of rough intuitionistic fuzzy sets in which intuitionistic fuzzy sets are approximated with respect to...
The convergence theory is a basic theory of fuzzy topology and fuzzy analysis. In this paper we introduce the notions of fuzzy SP-upper limit, fuzzy SP-lower limit and the fuzzy SP-convergent nets of fuzzy sets. We also study the properties of fuzzy SP-upper limit, fuzzy SP-lower limit and the fuzzy SP-convergent nets of fuzzy sets.
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