Alhawary 32 introduced the concept of balanced fuzzy graphs. Intuitionistic fuzzy competition graphs springerlink. The first definition of intuitionistic fuzzy graphs was proposed by atanassov. Different types of products on intuitionistic fuzzy graphs sciencedirect. Firstly, three kinds of new product operations called direct product. He gave the notion of intuitionistic fuzzy relation and discussed intuitionistic fuzzy. Edge domination on intuitionistic fuzzy graphs semantic scholar. Intuitionisticfuzzysetspast,presentandfuture krassimirt. Notes on intuitionistic fuzzy sets from ifigenia, the wiki. The first definition of intuitionistic fuzzy graphs was proposed by atanassov 12.
The first definition of intuitionistic fuzzy graphs was proposed by atanassov2. In future we will study some more properties and applications of. Global domination set in intuitionistic fuzzy graph. Pdf domination in product intuitionistic fuzzy graphs. Intuitionistic fuzzy set has shown advantages in handling vagueness and uncertainty compared to fuzzy set. In this paper, we apply the concept of intuitionistic fuzzy sets to multigraphs, planar graphs, and. Notes on intuitionistic fuzzy sets is an international scientific journal, specialized in the theory and application of intuitionistic fuzzy sets and logics as an interdisciplinary field at the cross point between. Different types of intuitionistic fuzzy graphs and their applications can be found in several. Pseudo regularity of fuzzy hypergraph and intuitionistic. In recent years, a mathematical approach of blending different aspects is on the way, which as a result gives a more generalized approach. Matrix representations of intuitionistic fuzzy graphs.
The main purpose of this paper is to show the rationality of some operations, defined or to be defined, on intuitionistic fuzzy graphs. Pdf constant intuitionistic fuzzy graphs karunambigai. On direct sum of two intuitionistic fuzzy graphs dr. Application of complement of intuitionistic fuzzy graphs in knowledge newlinemanagement system has been analyzed. The global domination number of a graph was discussed by e. In this paper c we also define inverse dominating set, inverse. Strong weak domination intuitionistic fuzzy graphs citeseerx. The structure of an intuitionistic fuzzy graph ifg depends mainly on its arcs, as in crisp graphs. In this paper, we have defined the intuitionistic fuzzy graphs of second type and its subgraph. Furthermore, the operations 26 and some particular case of intuitionistic fuzzy graphs 25 were done by parvathy and karunambigai. Research article intuitionistic fuzzy planar graphs. Chapter ii intuitionistic fuzzy directed graphs the theory of graph plays a vital role for solving combinatorial problems in di.
Different types of products on intuitionistic fuzzy graphs. Pdf operations on intuitionistic fuzzy graphs karunambigai m. Following the above mathematical approach, we combine two. In this paper, we define three operations on intuitionistic fuzzy graphs, viz.
Roy2 1 department of mathematics, siliguri institute of technology, p. Properties of interval valued intuitionistic s, tfuzzy graphs. Intuitionistic fuzzy graphs are more convenient than fuzzy graphs, which is useful in the traffic density and telecommunication systems. Intuitionistic fuzzy number and its arithmetic operation with application on system failure g. Complex intuitionistic fuzzy graphs with application in. Intuitionistic fuzzy graphs with categorical properties. In last few years, di erent methods for ranking ifns have been introduced79,10,12,23. The intuitionistic point set fuzzy domination number.
The minimum intuitionistic fuzzy cardinality of all edge dominating set of intuitionistic fuzzy graph g is known as edge domination number and it is denoted by. Atanassov added new components that determine the degree of nonmembership in the definition of fuzzy set. A study on irregular intuitionistic fuzzy graphs of. Atanassov introduced the concept of intuitionistic fuzzy sets as a generalization of fuzzy sets. Software development in intuitionistic fuzzy relational. Novel properties of intuitionistic fuzzy competition graphs. In this research article, we present a novel framework for handling intuitionistic fuzzy soft information by combining the theory of intuitionistic fuzzy soft sets with graphs. Operations on intuitionistic fuzzy graphs ieee conference. Intuitionistic fuzzy planar graphs directory of open. Ranking of intuitionistic fuzzy numbers by new distance. Intuitionistic fuzzy sets are generalization of fuzzy sets.
One of the remarkable generalizations of fuzzy sets was intuitionistic fuzzy sets given by k. We develop a method to search for an intuitionistic fuzzy. Ayyaswamy introduce the strong weak domination in fuzzy graph. Intuitionistic fuzzy calculus by qian lei 2017 english pdf. Pdf double domination on intuitionistic fuzzy graphs.
Pdf strong intuitionistic fuzzy graphs muhammad akram. Point set domination number of a graph is introduced by e. Soner 7 initiate the split dominating set and split domination number in fuzzy graphs. In addition, we investigated many interesting results regarding the. The basis of the concept of interval valued intuitionistic fuzzy sets was introduced by k. Different types of products on intuitionistic fuzzy graphs core.
Extended regular intuitionistic fuzzy graph definition. Intuitionistic fuzzy set has shown advantages in handling vagueness and uncertainty compared to. An algorithm for extracting intuitionistic fuzzy shortest. Following the above mathematical approach, we combine two very powerful techniques, namely complex intuitionistic fuzzy sets and graph. In this research article, we present some new properties.
Intuitionistic fuzzy number and its arithmetic operation. Pdf we introduce the notion of strong intuitionistic fuzzy graphs and investigate some of their properties. New concepts of intervalvalued intuitionistic s, t. Intuitionistic fuzzy graph, domination, domination number 1. We present a brief overview on intuitionistic fuzzy sets which cuts across some definitions, operations. Atanassov1 initiated the concept of intuitionistic fuzzy. Domination in operations on intuitionistic fuzzy graphs. We consider an intuitionistic fuzzy shortest path problem ifspp in a directed graph where the weights of the links are intuitionistic fuzzy numbers. This book describes a set of hybrid fuzzy models showing how to use them to deal with incomplete andor vague information in different kind of decisionmaking problems.
Double domination on intuitionistic fuzzy graphs article pdf available in journal of applied mathematics and computing 5212 november 2015 with 394 reads how we measure reads. A study on point set domination of intuitionistic fuzzy graphs. The concept of pseudo regular graphs was applied in the theory of nano molecules and nanostructures which are the most. Point set domination of intuitionistic fuzzy graphs. The main theorem in this section is g1 g2 is balanced if and only if dg1dg2dg1 g2. Graph theory has numerous applications in modern sciences and technology. Vikor method for financing risk assessment of rural tourism projects under intervalvalued intuitionistic fuzzy environment liangping wu, hui gao, cun wei and justin zhang 9 sep 2019 journal of. If vd contains dominating set d of g then d is called an inverse dominating set of g with respect to d.
Pdf we introduce the notion of strong intuitionistic fuzzy graphs and investi gate some of their properties. Introduction the first definition of fuzzy graphs was proposed by kafmann, from the fuzzy relations introduced by zadeh. Lakshmi department of mathematics, velammal college of engineering and technology, madurai625009 abstract. A v 0forevery v in v, then the intuitionistic fuzzy set a is just zadehs fuzzy set. In this paper, we define the irregular and complement of intuitionistic fuzzy graphs of second type. Clustering algorithm for intuitionistic fuzzy graphs.
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