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71.
In this paper, the concept of an (α, β)-fuzzy generalized bi-ideal in an ordered semigroup is introduced, which is a generalization of the concept of a fuzzy generalized bi-ideal in an ordered semigroup. Using this concept, some characterization theorems are provided. The upper/lower parts of an (∈, ∈ ∨ q)-fuzzy generalized bi-ideal are introduced and some characterizations of regular ordered semigroups are given. Also, we consider the concept of implication-based fuzzy generalized bi-ideals in an ordered semigroup. In particular, the implication operators in Lukasiewicz system of continuous-valued logic are discussed. 相似文献
72.
L. Paunonen 《Systems & Control Letters》2011,60(4):234-248
In this paper we consider bounded and relatively bounded finite rank perturbations of a Riesz-spectral operator generating a polynomially stable semigroup of linear operators on a Hilbert space. We concentrate on a commonly encountered situation where the spectrum of the unperturbed operator is contained in the open left half-plane of the complex plane and approaches the imaginary axis asymptotically. We present conditions on the perturbing operator such that the spectrum of the perturbed operator is contained in the open left half-plane of the complex plane and additional conditions for the strong and polynomial stabilities of the perturbed semigroup. We consider two applications of the perturbation results. In the first example we apply the results to the perturbation of a polynomially stabilized one-dimensional wave equation. In the second example we consider the perturbation of a closed-loop system consisting of a distributed parameter system and an observer-based feedback controller solving the robust output regulation problem related to an infinite-dimensional signal generator. 相似文献
73.
在一个半群中引入了(λμ)-模糊双理想和(λμ)-模糊拟理想的概念,研究了这些理想的基本性质,并给出了它们的一些等价条件。最后,利用(λμ)-模糊双理想和(λμ)-模糊拟理想,刻画了正则半群的特征。 相似文献
74.
B. Davvaz 《Soft Computing - A Fusion of Foundations, Methodologies and Applications》2008,12(4):409-418
Algebraic systems have many applications in the theory of sequential machines, formal languages, computer arithmetics, design
of fast adders and error-correcting codes. The theory of rough sets has emerged as another major mathematical approach for
managing uncertainty that arises from inexact, noisy, or incomplete information. This paper is devoted to the discussion of
the relationship between algebraic systems, rough sets and fuzzy rough set models. We shall restrict ourselves to algebraic
systems with one n-ary operation and we investigate some properties of approximations of n-ary semigroups. We introduce the notion of rough system in an n-ary semigroup. Fuzzy sets, a generalization of classical sets, are considered as mathematical tools to model the vagueness
present in rough systems. 相似文献
75.
76.
GUOFa-ming 《中国电子科技》2005,3(1):75-77
In this paper, infinite-time p-admissibility of unbounded operators is introduced and the Co-semigroup characterization of the infinite-time p-admissibility of unbounded observation operators is given. Moreover, the analogous result for the infinite-time p-admissibility of unbounded control operators is presented. 相似文献
77.
借助半群的理论及观点引入并研究了加法半群为矩形群的半环及加法半群为纯正群的半环,即纯正半环和矩形半环.并通过对矩形半环及纯正半环的结构和性质的分析与研究,给出了这两类半环的若干性质,从而给出了矩形半环的分配格的定义.最后研究了矩形半环的分配格与坚固分配格,即对这类半环坚固框架的刻画,得到了一些有趣的新结果. 相似文献
78.
半群代数k[A]中Groebner基有许多性质,继续对其进行研究,并将其用于解决k[A]中两个理想交集的生成元问题. 相似文献
79.
给出了空间Rn中正则集的定义,在Rn空间中的正则紧凸集上,研究并得到了生成矩量半群的五个彼此等价的条件,这些结果推广了HBuchwalter和GCassier的工作 相似文献
80.
Based on the work of Ma and Wu,[9] some equivalent definitions of topological pressure of a semigroup of continuous maps are given and several of their basic properties are provided by using separated sets and spanning sets. We also answer an open problem of Bi? and Urbański.[19] That is, letting fi, i = 2, … , k, be homeomorphisms acting on a compact metric space, G1 = {idX, f2, … , fk}, G? 11 = {idX, f? 12, …, fk? 1} and letting G and G?1 denote the semigroups generated by G1 and G? 11, respectively, we give an example showing that the topological entropy of G does not equal the topological entropy of G?1. 相似文献