**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**82

# Search results for: Ordered semigroup

##### 82 On Completely Semiprime, Semiprime and Prime Fuzzy Ideals in Ordered Semigroups

**Authors:**
Jian Tang

**Abstract:**

In this paper, we first introduce the new concept of completely semiprime fuzzy ideals of an ordered semigroup S, which is an extension of completely semiprime ideals of ordered semigroup S, and investigate some its related properties. Especially, we characterize an ordered semigroup that is a semilattice of simple ordered semigroups in terms of completely semiprime fuzzy ideals of ordered semigroups. Furthermore, we introduce the notion of semiprime fuzzy ideals of ordered semigroup S and establish the relations between completely semiprime fuzzy ideals and semiprime fuzzy ideals of S. Finally, we give a characterization of prime fuzzy ideals of an ordered semigroup S and show that a nonconstant fuzzy ideal f of an ordered semigroup S is prime if and only if f is twovalued, and max{f(a), f(b)} = inf f((aSb]), ∀a, b ∈ S.

**Keywords:**
Ordered fuzzy point,
fuzzy left (right) ideal of anordered semigroup,
completely semiprime fuzzy ideal,
semiprimefuzzy ideal,
prime fuzzy ideal.

##### 81 Characterizations of Ordered Semigroups by (∈,∈ ∨q)-Fuzzy Ideals

**Authors:**
Jian Tang

**Abstract:**

Let S be an ordered semigroup. In this paper we first introduce the concepts of (∈,∈ ∨q)-fuzzy ideals, (∈,∈ ∨q)-fuzzy bi-ideals and (∈,∈ ∨q)-fuzzy generalized bi-ideals of an ordered semigroup S, and investigate their related properties. Furthermore, we also define the upper and lower parts of fuzzy subsets of an ordered semigroup S, and investigate the properties of (∈,∈ ∨q)-fuzzy ideals of S. Finally, characterizations of regular ordered semigroups and intra-regular ordered semigroups by means of the lower part of (∈ ,∈ ∨q)-fuzzy left ideals, (∈,∈ ∨q)-fuzzy right ideals and (∈,∈ ∨q)- fuzzy (generalized) bi-ideals are given.

**Keywords:**
Ordered semigroup,
regular ordered semigroup,
intraregular
ordered semigroup,
(∈,
∈ ∨q)-fuzzy left (right) ideal of an
ordered semigroup,
(∈,
∈ ∨q)-fuzzy (generalized) bi-ideal of an
ordered semigroup.

##### 80 On Weakly Prime and Weakly Quasi-Prime Fuzzy Left Ideals in Ordered Semigroups

**Authors:**
Jian Tang

**Abstract:**

In this paper, we first introduce the concepts of weakly prime and weakly quasi-prime fuzzy left ideals of an ordered semigroup S. Furthermore, we give some characterizations of weakly prime and weakly quasi-prime fuzzy left ideals of an ordered semigroup S by the ordered fuzzy points and fuzzy subsets of S.

**Keywords:**
Ordered semigroup,
ordered fuzzy point,
weakly prime
fuzzy left ideal,
weakly quasi-prime fuzzy left ideal.

##### 79 I-Vague Groups

**Authors:**
Zelalem Teshome Wale

**Abstract:**

**Keywords:**
Involutary dually residuated lattice ordered semigroup,
I-vague set and I-vague group.

##### 78 I-Vague Normal Groups

**Authors:**
Zelalem Teshome Wale

**Abstract:**

**Keywords:**
Involutary dually residuated lattice ordered semigroup,
I-vague set,
I-vague group and I-vague normal group.

##### 77 Deduction of Fuzzy Autocatalytic Set to Omega Algebra and Transformation Semigroup

**Authors:**
Liew Siaw Yee,
Tahir Ahmad

**Abstract:**

**Keywords:**
Fuzzy autocatalytic set,
omega algebra,
semigroup,
transformation semigroup.

##### 76 On Q-Fuzzy Ideals in Γ-Semigroups

**Authors:**
Samit Kumar Majumder

**Abstract:**

In this paper the concept of Q-fuzziﬁcation of ideals of Γ-semigroups has been introduced and some important properties have been investigated. A characterization of regular Γ-semigroup in terms of Q-fuzzy ideals has been obtained. Operator semigroups of a Γ-semigroup has been made to work by obtaining various relationships between Q-fuzzy ideals of a Γ-semigroup and that of its operator semigroups.

**Keywords:**
Q-Fuzzy set,
Γ-semigroup,
Regular Γ-semigroup,
Q-Fuzzy left(right) ideal,
Operator semigroups.

##### 75 Another Structure of Weakly Left C-wrpp Semigroups

**Authors:**
Enxiao Yuan,
Xiaomin Zhang

**Abstract:**

It is known that a left C-wrpp semigroup can be described as curler structure of a left band and a C-wrpp semigroup. In this paper, we introduce the class of weakly left C-wrpp semigroups which includes the class of weakly left C-rpp semigroups as a subclass. We shall particularly show that the spined product of a left C-wrpp semigroup and a right normal band is a weakly left C-wrpp semifroup. Some equivalent characterizations of weakly left C-wrpp semigroups are obtained. Our results extend that of left C-wrpp semigroups.

**Keywords:**
Left C-wrpp semigroup,
left quasi normal regular band,
weakly left C-wrpp semigroup.

##### 74 The Structure of Weakly Left C-wrpp Semigroups

**Authors:**
Xiaomin Zhang

**Abstract:**

**Keywords:**
Left C-semigroup,
left C-wrpp semigroup,
left quasinormal
band,
weakly left C-wrpp semigroup

##### 73 A Further Study on the 4-Ordered Property of Some Chordal Ring Networks

**Authors:**
Shin-Shin Kao,
Hsiu-Chunj Pan

**Abstract:**

Given a graph G. A cycle of G is a sequence of vertices of G such that the first and the last vertices are the same. A hamiltonian cycle of G is a cycle containing all vertices of G. The graph G is k-ordered (resp. k-ordered hamiltonian) if for any sequence of k distinct vertices of G, there exists a cycle (resp. hamiltonian cycle) in G containing these k vertices in the specified order. Obviously, any cycle in a graph is 1-ordered, 2-ordered and 3- ordered. Thus the study of any graph being k-ordered (resp. k-ordered hamiltonian) always starts with k = 4. Most studies about this topic work on graphs with no real applications. To our knowledge, the chordal ring families were the first one utilized as the underlying topology in interconnection networks and shown to be 4-ordered. Furthermore, based on our computer experimental results, it was conjectured that some of them are 4-ordered hamiltonian. In this paper, we intend to give some possible directions in proving the conjecture.

**Keywords:**
Hamiltonian cycle,
4-ordered,
Chordal rings,
3-regular.

##### 72 Intuitionistic Fuzzy Points in Semigroups

**Authors:**
Sujit Kumar Sardar Manasi Mandal Samit Kumar Majumder

**Abstract:**

**Keywords:**
Semigroup,
Regular(intra-regular) semigroup,
Intuitionistic fuzzy point,
Intuitionistic fuzzy subsemigroup,
Intuitionistic fuzzy ideal,
Intuitionistic fuzzy interior ideal,
Intuitionistic fuzzy semiprime ideal,
Intuitionistic fuzzy prime ideal.

##### 71 A Note on Characterization of Regular Γ-Semigroups in terms of (∈,∈ ∨q)-Fuzzy Bi-ideal

**Authors:**
S.K.Sardar,
B.Davvaz,
S.Kayal,
S.K.Majumdar

**Abstract:**

**Keywords:**
Regular Γ-semigroup,
belong to or quasi-coincident,
(∈,
∈ ∨q)-fuzzy subsemigroup,
(∈,
∈ ∨q)-fuzzy bi-ideals.

##### 70 Fuzzy Ideals in Near-subtraction Semigroups

**Authors:**
D.R Prince Williams

**Abstract:**

In this paper,we introduce a notion of fuzzy ideals in near-subtraction semigroups and study their related properties.

**Keywords:**
subtraction algebra,
subtraction semigroup,
an ideal,
near-subtraction semigroup,
fuzzy level set,
fuzzy ideal,
fuzzy homomorphism.

##### 69 OWA Operators in Generalized Distances

**Authors:**
José M. Merigó,
Anna M. Gil-Lafuente

**Abstract:**

**Keywords:**
Aggregation operators,
Distance measures,
Quasi- OWA operator.

##### 68 Using the OWA Operator in the Minkowski Distance

**Authors:**
José M. Merigó,
Anna M. Gil-Lafuente

**Abstract:**

**Keywords:**
Aggregation operators,
Minkowski distance,
OWA
operators,
Selection of strategies.

##### 67 Fixed Point Theorems for Set Valued Mappings in Partially Ordered Metric Spaces

**Authors:**
Ismat Beg,
Asma Rashid Butt

**Abstract:**

Let (X,) be a partially ordered set and d be a metric on X such that (X, d) is a complete metric space. Assume that X satisfies; if a non-decreasing sequence xn → x in X, then xn x, for all n. Let F be a set valued mapping from X into X with nonempty closed bounded values satisfying; (i) there exists κ ∈ (0, 1) with D(F(x), F(y)) ≤ κd(x, y), for all x y, (ii) if d(x, y) < ε < 1 for some y ∈ F(x) then x y, (iii) there exists x0 ∈ X, and some x1 ∈ F(x0) with x0 x1 such that d(x0, x1) < 1. It is shown that F has a fixed point. Several consequences are also obtained.

**Keywords:**
Fixed point,
partially ordered set,
metric space,
set
valued mapping.

##### 66 Persistence of Termination for Term Rewriting Systems with Ordered Sorts

**Authors:**
Munehiro Iwami

**Abstract:**

**Keywords:**
Theory of computing,
Model-based reasoning,
term
rewriting system,
termination

##### 65 A Message Passing Implementation of a New Parallel Arrangement Algorithm

**Authors:**
Ezequiel Herruzo,
Juan José Cruz,
José Ignacio Benavides,
Oscar Plata

**Abstract:**

**Keywords:**
Parallel algorithm,
arrangement,
MPI,
sorting,
parallel program.

##### 64 Digital Forensics for Electronic Commerce on the Web

**Authors:**
Ryuya Uda

**Abstract:**

**Keywords:**
Cellular Phone,
Digital Forensics,
ElectronicCommerce,
Information Security

##### 63 Using Fuzzy Numbers in Heavy Aggregation Operators

**Authors:**
José M. Merigó,
Montserrat Casanovas

**Abstract:**

**Keywords:**
Aggregation operators,
Fuzzy numbers,
Fuzzy OWAoperator,
Heavy OWA operator.

##### 62 Laplace Transformation on Ordered Linear Space of Generalized Functions

**Authors:**
K. V. Geetha,
N. R. Mangalambal

**Abstract:**

**Keywords:**
Laplace transformable generalized function,
positive cone,
topology of bounded convergence

##### 61 An Algorithm of Ordered Schur Factorization For Real Nonsymmetric Matrix

**Authors:**
Lokendra K. Balyan

**Abstract:**

**Keywords:**
Schur Factorization,
Eigenvalues of nonsymmetric matrix,
Orthoganal matrix.

##### 60 A Self-stabilizing Algorithm for Maximum Popular Matching of Strictly Ordered Preference Lists

**Authors:**
Zhengnan Shi

**Abstract:**

In this paper, we consider the problem of Popular Matching of strictly ordered preference lists. A Popular Matching is not guaranteed to exist in any network. We propose an IDbased, constant space, self-stabilizing algorithm that converges to a Maximum Popular Matching an optimum solution, if one exist. We show that the algorithm stabilizes in O(n5) moves under any scheduler (daemon).

**Keywords:**
self-stabilization,
popular matching,
algorithm,
distributed computing,
fault tolerance

##### 59 Generation of Highly Ordered Porous Antimony-Doped Tin Oxide Film by A Simple Coating Method with Colloidal Template

**Authors:**
Asep Bayu Dani Nandiyanto,
Asep Suhendi,
Yutaka Kisakibaru,
Takashi Ogi,
Kikuo Okuyama

**Abstract:**

An ordered porous antimony-doped tin oxide (ATO) film was successfully prepared using a simple coating process with colloidal templates. The facile production was effective when a combination of 16-nm ATO (as a model of an inorganic nanoparticle) and polystyrene (PS) spheres (as a model of the template) weresimply coated to produce a composite ATO/PS film. Heat treatment was then used to remove the PS and produce the porous film. The porous film with a spherical pore shape and a highly ordered porous structure could be obtained. A potential way for the control of pore size could be also achieved by changing initial template size. The theoretical explanation and mechanism of porous formation were also added, which would be important for the scaling-up prediction and estimation.

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1564##### 58 Temperature Effect on the Mechanical Properties of Pd3Rh and PdRh3 Ordered Alloys

**Authors:**
J. Davoodi ,
J. Moradi

**Abstract:**

**Keywords:**
Pd-Rh alloy; Mechanical properties; Moleculardynamics simulation

##### 57 The Intuitionistic Fuzzy Ordered Weighted Averaging-Weighted Average Operator and its Application in Financial Decision Making

**Authors:**
Shouzhen Zeng

**Abstract:**

**Keywords:**
Intuitionistic fuzzy numbers,
Weighted average,
OWA operator,
Financial decision making

##### 56 Member Investment Willingness in Agricultural Cooperatives in Shaanxi (China)

**Authors:**
Lijia Wang,
Xuexi Huo

**Abstract:**

This study analyzes characteristics determining member’s willingness to invest in cooperatives using ordered logit model. The data were collected in a field survey among 122 cooperative members in north-central China. The descriptive analysis of survey evidence suggests that cooperatives in China generally having poor ability to deliver the processing services related to product package, grading, and storage, performing worse in profitability, inability of providing returns to capital and obtaining agricultural loan. The regression results demonstrate that members’ farm size, their satisfaction with cooperative price preferential services, attitudes toward cooperative operational scale and development potential have statistically significant impact on willingness to invest.

**Keywords:**
Cooperatives,
investment willingness,
member,
ordered logit.

##### 55 Geometric Operators in Decision Making with Minimization of Regret

**Authors:**
José M. Merigó,
Montserrat Casanovas

**Abstract:**

**Keywords:**
Decision making,
Regret,
Aggregation operators,
OWA operator,
OWG operator.

##### 54 Decision Making with Dempster-Shafer Theory of Evidence Using Geometric Operators

**Authors:**
José M. Merigó,
Montserrat Casanovas

**Abstract:**

We study the problem of decision making with Dempster-Shafer belief structure. We analyze the previous work developed by Yager about using the ordered weighted averaging (OWA) operator in the aggregation of the Dempster-Shafer decision process. We discuss the possibility of aggregating with an ascending order in the OWA operator for the cases where the smallest value is the best result. We suggest the introduction of the ordered weighted geometric (OWG) operator in the Dempster-Shafer framework. In this case, we also discuss the possibility of aggregating with an ascending order and we find that it is completely necessary as the OWG operator cannot aggregate negative numbers. Finally, we give an illustrative example where we can see the different results obtained by using the OWA, the Ascending OWA (AOWA), the OWG and the Ascending OWG (AOWG) operator.

**Keywords:**
Decision making,
aggregation operators,
Dempster-
Shafer theory of evidence,
Uncertainty,
OWA operator,
OWG
operator.

##### 53 Equalization Algorithms for MIMO System

**Authors:**
Said Elkassimi,
Said Safi,
B. Manaut

**Abstract:**

In recent years, multi-antenna techniques are being considered as a potential solution to increase the flow of future wireless communication systems. The objective of this article is to study the emission and reception system MIMO (Multiple Input Multiple Output), and present the different reception decoding techniques. First we will present the least complex technical, linear receivers such as the zero forcing equalizer (ZF) and minimum mean squared error (MMSE). Then a nonlinear technique called ordered successive cancellation of interferences (OSIC) and the optimal detector based on the maximum likelihood criterion (ML), finally, we simulate the associated decoding algorithms for MIMO system such as ZF, MMSE, OSIC and ML, thus a comparison of performance of these algorithms in MIMO context.

**Keywords:**
Multiple Input Multiple Outputs (MIMO),
ZF,
MMSE,
Ordered Interference Successive Cancellation (OSIC),
ML,
Interference Successive Cancellation (SIC).