共查询到20条相似文献,搜索用时 0 毫秒
1.
The goal of this paper is to provide a more detailed explanation of the principles how special formulas that characterize properties of trend of time series can be formed and how they are interpreted. Then we show how these formulas can be used in a tectogrammatical tree that construes special sentences of natural language, using which information on behavior of time series is provided. We also outline the principles of mining this information. The last part is devoted to application of the theory of intermediate quantifiers to mining summarized information on time series also in sentences of natural language. 相似文献
2.
Attribute reduction is viewed as an important issue in data mining and knowledge representation. This paper studies attribute reduction in fuzzy decision systems based on generalized fuzzy evidence theory. The definitions of several kinds of attribute reducts are introduced. The relationships among these reducts are then investigated. In a fuzzy decision system, it is proved that the concepts of fuzzy positive region reduct, lower approximation reduct and generalized fuzzy belief reduct are all equivalent, the concepts of fuzzy upper approximation reduct and generalized fuzzy plausibility reduct are equivalent, and a generalized fuzzy plausibility consistent set must be a generalized fuzzy belief consistent set. In a consistent fuzzy decision system, an attribute set is a generalized fuzzy belief reduct if and only if it is a generalized fuzzy plausibility reduct. But in an inconsistent fuzzy decision system, a generalized fuzzy belief reduct is not a generalized fuzzy plausibility reduct in general. 相似文献
3.
Mahdi Zarghami Ferenc Szidarovszky Reza Ardakanian 《Fuzzy Optimization and Decision Making》2008,7(1):1-15
All realistic Multi-Criteria Decision Making (MCDM) problems face various kinds of uncertainty. Since the evaluations of alternatives
with respect to the criteria are uncertain they will be assumed to have stochastic nature. To obtain the uncertain optimism
degree of the decision maker fuzzy linguistic quantifiers will be used. Then a new approach for fuzzy-stochastic modeling
of MCDM problems will be introduced by merging the stochastic and fuzzy approaches into the OWA operator. The results of the
new approach, entitled FSOWA, give the expected value and the variance of the combined goodness measure for each alternative.
Robust decision depends on the combined goodness measures of alternatives and also on the variations of these measures under
uncertainty. In order to combine these two characteristics a composite goodness measure will be defined. The theoretical results
will be illustrated in a watershed management problem. By using this measure will give more sensitive decisions to the stakeholders
whose optimism degrees are different than that of the decision maker. FSOWA can be used for robust decision making on the
competitive alternatives under uncertainty. 相似文献
4.
In this paper, a degree theory for finite dimensional generalized variational inequalities is built and employed to prove some results on solution existence and solution stability. 相似文献
5.
In this paper, we interpret a fuzzy differential equation by using the strongly generalized differentiability concept. Utilizing the Generalized Characterization Theorem, we investigate the problem of finding a numerical approximation of solutions. Then we show that any suitable numerical method for ODEs can be applied to solve numerically fuzzy differential equations under generalized differentiability. The generalized Euler approximation method is implemented and its error analysis, which guarantees pointwise convergence, is given. The method’s applicability is illustrated by solving a linear first-order fuzzy differential equation. 相似文献
6.
7.
8.
M.I.M. Copetti 《Applied mathematics and computation》2011,218(5):2128-2145
In this work we study a one-dimensional contact problem in generalized thermoelasticity under the Green-Lindsay theory. Unilateral contact with an elastic obstacle is assumed. We consider the quasi-static and the fully dynamic situations. We prove existence and uniqueness results and propose finite element approximations in space with backward Euler discretization in time. Stability results are given and some numerical experiments reported. The second sound effect of heat conduction is observed in the simulations. 相似文献
9.
A survey of credibility theory 总被引:26,自引:0,他引:26
Baoding Liu 《Fuzzy Optimization and Decision Making》2006,5(4):387-408
This paper provides a survey of credibility theory that is a new branch of mathematics for studying the behavior of fuzzy
phenomena. Some basic concepts and fundamental theorems are introduced, including credibility measure, fuzzy variable, membership
function, credibility distribution, expected value, variance, critical value, entropy, distance, credibility subadditivity
theorem, credibility extension theorem, credibility semicontinuity law, product credibility theorem, and credibility inversion
theorem. Recent developments and applications of credibility theory are summarized. A new idea on chance space and hybrid
variable is also documented. 相似文献
10.
The classical generalized Hankel type convolution are defined and extended to a class of generalized functions. Algebraic
properties of the convolution are explained and the existence and significance of an identity element are discussed. 相似文献
11.
《Annals of Pure and Applied Logic》2018,169(12):1270-1294
12.
Henk de Snoo 《Journal of Mathematical Analysis and Applications》2011,382(1):399-417
A generalized Nevanlinna function Q(z) with one negative square has precisely one generalized zero of nonpositive type in the closed extended upper halfplane. The fractional linear transformation defined by Qτ(z)=(Q(z)−τ)/(1+τQ(z)), τ∈R∪{∞}, is a generalized Nevanlinna function with one negative square. Its generalized zero of nonpositive type α(τ) as a function of τ defines a path in the closed upper halfplane. Various properties of this path are studied in detail. 相似文献
13.
On the level-continuity of fuzzy integrals 总被引:1,自引:0,他引:1
H. Román-Flores A. Flores-Franuli? R.C. Bassanezi M. Rojas-Medar 《Fuzzy Sets and Systems》1996,80(3):339-344
In this paper we define the level-convergence of measurable functions on a fuzzy measure space, by using the closure operator in the Moore sense. We study some of the properties of this convergence and give conditions for the continuity of the fuzzy integral in relation to the level-convergence. 相似文献
14.
Annemarie Luger 《Mathematische Nachrichten》2006,279(8):891-910
Generalized poles of a generalized Nevanlinna function Q ∈ ??κ (??) are defined in terms of the operator representation of Q . In this paper those generalized poles that are not of positive type and their degrees of non‐positivity are characterized analytically by means of pole cancellation functions. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
15.
This paper studies some important properties of the notion generalized exponential dichotomy. A new notion called generalized bounded growth is introduced to describe the characterization of generalized exponential dichotomy. The relations between generalized bounded growth and generalized exponential dichotomy are established. 相似文献
16.
Niko Naumann 《Advances in Mathematics》2007,215(2):569-600
We construct the algebraic stack of formal groups and use it to provide a new perspective onto a recent result of M. Hovey and N. Strickland on comodule categories for Landweber exact algebras. This leads to a geometric understanding of their results as well as to a generalisation. 相似文献
17.
Shiro Ishikawa 《Fuzzy Sets and Systems》1997,90(3):3809-306
Recently, we proposed a general measurement theory for classical and quantum systems (i.e., “objective fuzzy measurement theory”). In this paper, we propose “subjective fuzzy measurement theory”, which is characterized as the statistical method of the objective fuzzy measurement theory. Our proposal of course has a lot of advantages. For example, we can directly see “membership functions” (= “fuzzy sets”) in this theory. Therefore, we can propose the objective and the subjective methods of membership functions. As one of the consequences, we assert the objective (i.e., individualistic) aspect of Zadeh's theory. Also, as a quantum application, we clarify Heisenberg's uncertainty relation. 相似文献
18.
A fuzzy relation space for group decision theory 总被引:1,自引:0,他引:1
James C. Bezdek 《Fuzzy Sets and Systems》1978,1(4):255-268
In this paper reciprocal relations over n alternatives are defined, and their efficacy as a model of the group decision process is investigated. Several measures of individual preference and group consensus are defined and analyzed, and are used to generate associated measures of distance to consensus. Various decision oriented goals are identified, and we characterize these goals geometrically as subsets of a convex subset of a hyperplane in Rn. An application of this model for assessing degree of consensus is given. 相似文献
19.
Henri Prade 《Fuzzy Sets and Systems》1979,2(2):153-165
This paper deals with a real scheduling problem where it seems interesting to use fuzzy sets The question of knowing how and when it is possible to use fuzzy sets (rather than probabilities for instance) is discussed in great detail for the studied case. Fuzzy concepts are shown to be very useful and easy to work with in this decision-aid problem. 相似文献
20.
In this paper we study the persistence of lower dimensional hyperbolic invariant tori for generalized Hamiltonian systems. Here the generalized Hamiltonian systems refer to the systems which may admit a distinct number of action and angle variables. In particular, systems under consideration can be odd-dimensional. Under Rüssmann-type non-degenerate condition, by introducing a modified linear KAM iterative scheme, we proved that the majority of the lower-dimensional hyperbolic invariant tori persist under small perturbations for generalized Hamiltonian systems. 相似文献