Papers by Dr. Muneera Abdul
AIP Conference Proceedings
AIP Conference Proceedings
AIP Conference Proceedings
Journal of Advanced Research in Dynamical and Control Systems, 2020
In this article we discussed prominence of Fuzzy Eulerian and Fuzzy Hamiltonian graphs. Fuzzy log... more In this article we discussed prominence of Fuzzy Eulerian and Fuzzy Hamiltonian graphs. Fuzzy logic is introduced to study the uncertainty of the event. In Fuzzy set theory we assign a membership value to each element of the set which ranges from 0 to 1. The earnest efforts of the researchers are perceivable in the relevant establishment of the subject integrating coherent practicality and reality. Fuzzy graphs found an escalating number of applications in day to day life system where the information intrinsic in the system varies with different levels of accuracy. In this article we initiated the model of fuzzy Euler graphs (FEG) and also fuzzy Hamiltonian graphs (FHG). We explored about fuzzy walk, fuzzy path, fuzzy bridge, fuzzy cut node, fuzzy tree, fuzzy blocks, fuzzy Eulerian circuit and fuzzy Hamiltonian cycle. Here we studied some applications of Fuzzy Eulerian graphs and fuzzy Hamiltonian graphs in real life.
The aim of the article is to sum up the different dominations on graphs. The following article ho... more The aim of the article is to sum up the different dominations on graphs. The following article holds the idea of Domination in Planar graphs, connected graph, edge dominations in Paths, Cycles of related graphs and few properties. Likewise, we broadened our study on inverse dominations on graphs and few applications based on dominations. It incorporates social network, land reviewing, radio broadcasts, computer PC correspondence system, school transport directing, interconnection systems so forth.,
The resolution of this article is to discuss the importance of Anti Fuzzy Graphs. The intense exe... more The resolution of this article is to discuss the importance of Anti Fuzzy Graphs. The intense exertions of scientists are perceivable in the applicable creation of the theme participating understandable practicality and certainty. Fuzzy logic is announced to study the ambiguity of the incident by assigning a system of membership principles to the elements of the universal set ranging from 0 to 1. In this article we familiarized the thought of Split and Non-Split Domination on Anti Fuzzy Graph. Dominating sets have a vital function regarding the scheme of fuzzy graphs. A dominating set S of an Anti-fuzzy graph be a "Split dominating set" whether encouraged Anti fuzzy sub graph H = (, ,) is detached. The minimum fuzzy cardinality of a split dominating set of Anti fuzzy graph is signified by () We explored about Strong domination and weak domination in Anti fuzzy graphs and total dominations in Anti fuzzy graphs. Some results are derived to various dominations in Anti fuzzy graphs. Fuzzy graphs initiate an increasing amount of submissions in existing science wherever the evidence central in the system diverges with dissimilar stages of correctness.
ESSENCE OF MATHEMATICS IN ENGINEERING APPLICATIONS: EMEA-2020
In this paper we discussed the prominence of Bipolar fuzzy graphs (BFG). Fuzzy set assigns a sequ... more In this paper we discussed the prominence of Bipolar fuzzy graphs (BFG). Fuzzy set assigns a sequence of membership values to the elements of the universal set ranging from 0 to 1, whereas now our study about Bipolar fuzzy graphs whose membership degree range is [-1, 1]. The earnest efforts of the researchers are perceivable in the relevant establishment of the subject integrating coherent practicality and reality. When we assess the position of an object in space, we may have positive information expressed as a set of possible places and negative information expressed as a set of impossible places. This corresponds to the idea that the union of positive and negative information does not cover the whole space. Dominating sets have a vital function regarding the theory of fuzzy graphs. Traveling salesman problem, communication network, traffic route problem are largely discussed applications among the diverse applications dealing with the theory of dominations. In this paper we generalized Bipolar fuzzy graphs and explored various types of dominations on Bipolar fuzzy graphs such as Strong Dominations, Split and non-split dominations, Multiple dominations and some applications of Bipolar fuzzy graphs. Fuzzy graphs found an increasing number of applications in modeling real time systems where the information inherent in the system varies with different levels of precision. Bipolar fuzzy graphs can be used to model many problems in economics, operations research, etc; involving two similar, but opposite type of qualitative variables like success and failure, gain and loss etc.
ESSENCE OF MATHEMATICS IN ENGINEERING APPLICATIONS: EMEA-2020
After introducing and developing fuzzy graph theory, a lot of studies have been done in this fiel... more After introducing and developing fuzzy graph theory, a lot of studies have been done in this field. The object of this paper is to demonstrate various Dominations such as Edge domination, Total domination, Strong (weak) domination, Regular domination, connected domination, Split (non-split) domination in fuzzy graphs with their importance and applications in real world. We explored about Inverse Dominations in Fuzzy graphs. Some results are derived to various dominations in Fuzzy graphs. Fuzzy graphs found an increasing number of applications in prevailing science where the information inherent in the system varies with different levels of precision. We prompt some applications in modeling traffic and transportation problems, telecommunications, job allocation and at ATM centers. The wide varieties of domination parameters are defined.
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Papers by Dr. Muneera Abdul