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In this paper, we introduce and study the notion of fuzzy b-I-open sets, which is properly placed between fuzzy openness and fuzzy b-openness regardless the fuzzy topological ideal. We deduce some characterization theorems for such concepts exactly analogous to general topology. And we define the notion of fuzzy b-I-continuous function via fuzzy b-I-open sets and some of its properties are investigated...
Based on the fuzzy probability theory of the third kind of fuzzy events, a new multi-objective optimization model of fuzzy probability is developed. And the application procedure of the fuzzy probability model is illuminated in detail. In order to assess index weighted value scientifically, the analytic hierarchy process (AHP) is introduced into the fuzzy weighted values to avoid the uncertainties...
In this paper, we talk about the solution of fuzzy linear systems, prove a necessary and sufficient condition, and give an exact numerical example, then provide a condition for one solution to be a fuzzy vector.
Residuated fuzzy logic calculi are related to continuous t-norms which are used as truth functions for the conjunction connective, and their residua as truth function for the implication. In these logics, a negation is definable from the implication and the truth constant 0̅, namely ¬φ is φ→0̅. This negation behaves quite differently depending on the t-norm. For a nilpotent t-norm, it turns out that...
By means of infinite product of uniformly distributed probability spaces of cardinal n the concept of pure truth degrees of propositions in the n-valued R0 logic system is introduced in the present paper. Inference rules of pure truth degrees are obtained. Moreover, similarity degrees among formulas are proposed and a pseudo-metric is defined therefrom on the set of formulas, and hence a possible...
First, we classify the objects in continuous domain decision table according to fuzzy clustering; then, combining rough set theory with fuzzy set theory, an attribute reduct algorithm of decision table with continuous attributes is put forward; at last, a rule extraction algorithm is proposed and also the validity of this algorithm is accounted for through an example.
In this paper, a simple variable integral gain PI controller for a single-phase Inverter is presented. The controller is based on a conventional PI by adding a rule of Fuzzy Logic Control (FLC), the complete mathematical model is derived. Compared with the conventional PI controller, the integral gain of the proposed controller can be adjusted online. The efficacy and feasibility of the proposed methods...
In this study, based on the random fuzzy theory, the random fuzzy multiobjective programming (RFMOP) problems are presented. We first consider its expected value model, and investigated its convexity. Then the expected-value efficient solution and the expected-value wake efficient solution are defined. To solve the RFMOP problem, the method of main objective function are proposed, whose theoretical...
In this paper, a novel fuzzy adaptive backstepping design procedure is proposed for a class of perturbed strict-feedback nonlinear systems with unknown time-varying delays. The fuzzy logic systems are used to approximate the nonlinear uncertainties, then, the adaptive fuzzy tracking controller is constructed by combining Lyapunov-Krasovskii functionals and the backstepping approach. The proposed controller...
A fuzzy modeling approach based on on-line potential clustering is presented for a family of complex MIMO systems with severe nonlinearity and strong coupling such as a hovering submarine. The structure of the fuzzy model is defined as special group of If-Then rules with real constant consequents which is expressed as a feed-forward fuzzy neural network identified by on-line clustering and first order...
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...
In this paper, we study the operation state of regional logistics in-depth from the performance evaluation of regional logistics, according to analyzing the theory of state equation and key indicators, we will have an evaluation study on the operation state of regional logistics for forming the real-time monitoring to the operation state of retire regional logistics, and forecasting and observing...
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...
The design and response abilities of time-varying fuzzy systems are discussed. Firstly, based on non-singleton fuzzifier and dynamic fuzzy inference method, the response function of time-varying fuzzy system is obtained. Then, a sufficient and necessary condition for time-varying fuzzy system possessing interpolation property is given. It is proved that time-varying fuzzy systems determined by t-norm...
To improve the shift quality of the automatic transmission (AT). The oil pressure changing rule need be researched deeply, which was done in this paper by modeling and simulating using ITI-SimulationX software. This paper completed the optimized design of clutch by using the fuzzy theory and main objective method with optimization toolbox of MATLAB. The wet multi-plate clutch is commonly used. According...
Among the various approaches to determine the true domain of fuzzy inference rules in the designing of fuzzy controller, the important one is to solve a system of fuzzy relation equations corresponding to the fuzzy inference sentence. In our earlier work, we gave a new method to construct the system and presented a method to solve the system when the system is consistent. But when the system is inconsistent,...
In this note, first we define the BL-algebra on a non-empty set Q. Then we define the Bl-general fuzzy automata (Bl-GFA), by using the notions of BL-algebra and general fuzzy automata. Then we present some connections between the BL-general fuzzy automaton theory and the hyper structure theory. Finally we introduce a hyper BCK-algebra which is induced by a BL-general fuzzy automaton and we study the...
A relative effective approach to calculate the Choquet integral of fuzzy-valued function with nonmonotonic fuzzy measure is proposed. Base on the connection between the Choquet integral value of the real-valued function and the Choquet integral values of its order-preserving functions, it is shown that the minimum and maximum of the integration of interval-valued function must be reached by ones of...
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.
In this paper, we consider a fundamental theoretical question: why cannot regular fuzzy implication operator meeting logical properties construct fuzzy system? Through the appropriate choice of the aggregation operator, the center of gravity fuzzy system (COGFS) based on regular fuzzy implication is studied in detail in the paper. Numerical characteristics of the random vector corresponding to the...
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