Journal ArticleDOI
Fuzzy Planar Graphs
Sovan Samanta,Madhumangal Pal +1 more
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TLDR
It is shown that an image can be represented by a fuzzy planar graph, and contraction of such animage can be made with the help of a fuzzyPlanar graph.Abstract:
Fuzzy planar graph is a very important subclass of fuzzy graph. In this paper, two types of edges are mentioned for fuzzy graphs: effective edges and considerable edges. In addition, a comparative study between Kuratowski's graphs and fuzzy planar graph is made. A new concept of a strong fuzzy planar graph is introduced. Some related results are established. These results have certain applications in subway tunnels, routes, oil/gas pipelines representation, etc. It is also shown that an image can be represented by a fuzzy planar graph, and contraction of such an image can be made with the help of a fuzzy planar graph.read more
Citations
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Journal ArticleDOI
Bipolar Fuzzy Graphs with Categorical Properties
TL;DR: Some properties of the µ–complement of bipolar fuzzy graphs are discussed and a necessary condition for a bipolar fuzzy graph to be self µ-complement is given.
Journal ArticleDOI
Intuitionistic fuzzy competition graphs
Sankar Sahoo,Madhumangal Pal +1 more
TL;DR: In this paper, two generalizations of intuitionistic fuzzy competition graphs as intuitionism fuzzy k-competition graphs and p-comp competition intuitionistic fuzziness graphs are introduced and also, intuitionists fuzzy neighbourhood graphs, m-steps intuitionistic furry competition graphs are defined and investigated many interesting results.
Journal ArticleDOI
Fuzzy colouring of fuzzy graphs
TL;DR: A new concept of colouring of fuzzy graphs has been introduced and this technique is used to colour world political map mentioning the strength of relationship among the countries.
Journal ArticleDOI
Faces and dual of m-polar fuzzy planar graphs
Ganesh Ghorai,Madhumangal Pal +1 more
TL;DR: M-polar fuzzy faces and strong m-p polar fuzzy faces are defined and m-Polar fuzzy dual graph of an m- polar fuzzy planar graph is introduced with example.
Journal ArticleDOI
Different types of products on intuitionistic fuzzy graphs
Sankar Sahoo,Madhumangal Pal +1 more
TL;DR: It is demonstrated that any of the products of strong intuitionistic fuzzy graphs are strong intuitionist fuzzy graphs, viz. direct product, semi-strong product and strong product.
References
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Journal ArticleDOI
On the theory of bags
TL;DR: The bag structure as a set-like object in which repeated elements are significant and the operation of selecting elements from a bag based upon their membership in a set is introduced.
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TL;DR: A survey of fundamental notions fuzzy set theory the model of natural language semantics and linguistic variables fuzzy logic decision and control fuzzy systems fuzzy algorithms and programming languages other applications general problems of fuzzy set theorists are surveyed.
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TL;DR: Fuzzy Subsets: Fuzzy Relations.- FuzzY Equivalence Relations.- Pattern Classification.- Similarity Relations.- References.- fuzzy Graphs: Paths and Connectedness.
Journal ArticleDOI
Bipolar fuzzy graphs
TL;DR: The notion of bipolar fuzzy graphs is introduced, various methods of their construction are described, the concept of isomorphisms of these graphs are discussed, and some of their important properties are investigated.
Journal ArticleDOI
A Review of the Application of Multiobjective Evolutionary Fuzzy Systems: Current Status and Further Directions
TL;DR: An overview of multiobjective evolutionary fuzzy systems is presented, describing the main contributions on this field and providing a two-level taxonomy of the existing proposals, in order to outline a well-established framework that could help researchers who work on significant further developments.