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Category: Issue 1

On generating functions of modified Gegenbauer polynomials

ABSTRACT:

In this note, we have obtained some novel bilateral generating functions involving modified Gegenbauer polynomials, which is converted into trilateral generating functions with Tchebycheff polynomials by group theoretic method

KEYWORDS: -


In this note, we have obtained some novel bilateral generating functions involving modified Gegenbauer polynomials, which  is converted into trilateral generating functions with Tchebycheff polynomials by group theoretic method

Study of Influential nodes of Fuzzy Graphs in Fuzzy Models

ABSTRACT:

In this paper we give the role of fuzzy graphs in fuzzy models like Fuzzy Cognitive Maps (FCMs) and Fuzzy Relational Maps (FRMs). Our study of these fuzzy graphs is different from the usual study as we have the nodes or edges of a fuzzy graph to be dependent on the fuzzy model in which they are used.
In this paper we define different types of influential nodes of fuzzy graphs related with the fuzzy models like Fuzzy Cognitive maps (FCMs) models and Fuzzy Relational Maps (FRMs) models. This study of labeling the nodes as most influential, more influential, just influential, influential, less influential and least influential nodes of the fuzzy graphs
associated with these fuzzy models is carried out in this paper. This study is new and innovative leading to several important observations on the nodes used in the fuzzy models. This answers the natural question whether the node which has the maximum number of edges incident to it is the most influential node in a fuzzy graph associated with fuzzy models. This is answered in the affirmative. This paper is organized into three sections. The first section is
introductory in nature. In section two we define the types of nodes based on the fuzzy models defined, we also prove some results in this direction. The final section gives the conclusions based on our study.

KEYWORDS: -


In this paper we give the role of fuzzy graphs in fuzzy models like Fuzzy Cognitive Maps (FCMs) and Fuzzy Relational Maps (FRMs). Our study of these fuzzy graphs is different...

On *g-Closed Sets in Bitopological Spaces

ABSTRACT:

In this paper, we introduce *g-closed sets13 in bitopological spaces. Properties of these sets are investigated and we introduce the two new bitopoligical spaces (i, j)-*gT*1/2 and (i, j)-*g*T1/2 spaces as applications. Further we introduce and study *g-continuity13 in bitopological spaces.

KEYWORDS: -


In this paper, we introduce *g-closed sets13 in bitopological spaces. Properties of these sets are investigated and we introduce the two new bitopoligical spaces (i, j)-*gT*1/2 and (i, j)-*g*T1/2 spaces as applications....

Banach Contraction Principle on Cone Hexagonal Metric Space

ABSTRACT:

We introduce the notion of cone hexagonal metric space and prove Banach contraction mapping principle in cone hexagonal metric space. Our result extends recent known results.

KEYWORDS: -


We introduce the notion of cone hexagonal metric space and prove Banach contraction mapping principle in cone hexagonal metric space. Our result extends recent known results.

vg-Lindeloff Space

ABSTRACT:

The object of the present paper is to introduce vg-lindeloff spaces and study its basic properties

KEYWORDS: -


The object of the present paper is to introduce vg-lindeloff spaces and study its basic properties

Reverse Derivations On Semiprime Rings

ABSTRACT:

In this paper some results concerning to reverse derivations on semiprime rings are presented. If R be a semi prime ring with a reverse derivation d and S be the left ideal of R then [S ,R]d(R)0. Also if S be a right ideal of R then [R,S]d(S)0 is proved by using reverse derivation.

KEYWORDS: -


In this paper some results concerning to reverse derivations on semiprime rings are presented. If R be a semi prime ring with a reverse derivation d and S be the left...

Kosko Hamming Distance in the Analysis of FCMs to study the problems of Locals Due to Dumping of Solid waste in Kodungaiyur

W.B. VASANTHA KANDASAMY
Department of Mathematics, IIT Madtras (Chennai) India
R .VASUKI
Department of Mathematics, SIVET College Chennai India
K . THULUKKANAM
Department of Mathematics, Dr Ambedkar Govt. Arts College Chennai India

ABSTRACT:

In this paper we for the first time define a new notion called Kosko – Hammimg distance in the study of several experts using Fuzzy Cognitive maps (FCMs) Model. The new concepts finds how two experts opinions differ using a distance function dk between each of the individual experts. Here we study the health problems faced by the locals due to dumping of solid wastes. This study was carried out taking a sample survey from around 4 persons living in and around the Kodungaiyur area. We haveanalyzed the data using FCMs by taking 6 experts opinion.

KEYWORDS: Fuzzy Cognitive maps (FCMs) Model, hidden pattern, fixed point and limit cycle


In this paper we for the first time define a new notion called Kosko – Hammimg distance in the study of several experts using Fuzzy Cognitive maps (FCMs) Model....