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Operations on Intuitionistic Fuzzy Hypergraphs

by R. Parvathi, S. Thilagavathi, M. G. Karunambigai
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 51 - Number 5
Year of Publication: 2012
Authors: R. Parvathi, S. Thilagavathi, M. G. Karunambigai
10.5120/8041-1357

R. Parvathi, S. Thilagavathi, M. G. Karunambigai . Operations on Intuitionistic Fuzzy Hypergraphs. International Journal of Computer Applications. 51, 5 ( August 2012), 46-54. DOI=10.5120/8041-1357

@article{ 10.5120/8041-1357,
author = { R. Parvathi, S. Thilagavathi, M. G. Karunambigai },
title = { Operations on Intuitionistic Fuzzy Hypergraphs },
journal = { International Journal of Computer Applications },
issue_date = { August 2012 },
volume = { 51 },
number = { 5 },
month = { August },
year = { 2012 },
issn = { 0975-8887 },
pages = { 46-54 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume51/number5/8041-1357/ },
doi = { 10.5120/8041-1357 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:49:38.645563+05:30
%A R. Parvathi
%A S. Thilagavathi
%A M. G. Karunambigai
%T Operations on Intuitionistic Fuzzy Hypergraphs
%J International Journal of Computer Applications
%@ 0975-8887
%V 51
%N 5
%P 46-54
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Hypergraph is a graph in which an edge can connect more than two vertices. Hypergraphs can be applied to analyze architecture structures and to represent system partitions. The concept of hypergraphs was extended to fuzzy hypergraph. In this paper, we extend the concepts of fuzzy hypergraphs into that of intuitionistic fuzzy hypergraphs. Based on the definition of intuitionistic fuzzy graph, operations like complement, join, union, intersection, ringsum, cartesian product, composition are defined for intuitionistic fuzzy graphs. The authors further proposed to apply these operations in clustering techniques.

References
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  2. K. T. Atanassov, More on intuitionistic fuzzy sets, Fuzzy Sets and Systems 33, (1989), 37-46.
  3. K. T. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems 61, (1994), 137-142.
  4. K. T. Atanassov, Remarks on the intuitionistic fuzzy sets-III, Fuzzy Sets and Systems 75, (1995), 401-402.
  5. S. Thilagavathi, R. Parvathi and M. G. Karunambigai, Operations on Intuitionistic fuzzy graphs II, Developments in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics 1, (2008), 319-331.
  6. R. Parvathi, M. G. Karunambigai and K. T. Atanassov Operations on Intuitionistic fuzzy graphs, Fuzzy Systems, 2009, Fuzz-IEEE 2009. IEEE international conference 1396-1401.
  7. S. Thilagavathi, R. Parvathi and M. G. Karunambigai, Intuitionistic fuzzy hypergraphs, J. Cybernetics and Information Technologies 9(2), (2009), 46-53, Sofia.
  8. M. Akram and W. A. Dudek Intuitionistic fuzzy hypergraphs with applications, Information Sciences, 2012.
Index Terms

Computer Science
Information Sciences

Keywords

Intuitionistic fuzzy hypergraph (IFHG) Complement Union Join Intersection Ringsum Cartesian product Composition

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