Isometry on Interval-valued Fuzzy Graphs

Theoretical concepts of graphs are highly utilized by computer scientists. Especially in research areas of computer science su ch as data mining, image segmentation, clustering image capturing and networ king. The interval-valued fuzzy graphs are more flexible and compatible than fuzzy graphs due to the fact that they allowed the degree of membership of a vertex to an edge to be represented by interval valued in (0,1) rather than the crisp real values b etween 0 and 1. In this paper, we defined isometry on interval-valued fuzzy graphs and show t hat isometry on interval-valued fuzzy graphs is an equivalence relation.

[1]  Hossein Rashmanlou,et al.  Isomorphism on vague graphs , 2013 .

[2]  Ju Hong-mei,et al.  Interval-valued Fuzzy Subsemigroups and Subgroups Associated by Interval-valued Fuzzy Graphs , 2009, 2009 WRI Global Congress on Intelligent Systems.

[3]  M. Gorzałczany.  A method for inference in approximate reasoning based on interval-valued fuzzy sets , 1987 .

[4]  Madhumangal Pal,et al.  Balanced Interval-Valued Fuzzy Graphs , 2013 .

[5]  Muhammad Akram,et al.  Bipolar fuzzy graphs , 2011, Inf. Sci..

[6]  Prabir Bhattacharya,et al.  Some remarks on fuzzy graphs , 1987, Pattern Recognit. Lett..

[7]  Young Bae Jun,et al.  Complete interval-valued fuzzy graphs , 2013 .

[8]  M. Gorzałczany.  An interval-valued fuzzy inference method: some basic properties , 1989 .

[9]  Muhammad Akram,et al.  Interval-valued fuzzy graphs , 2012, Comput. Math. Appl..

[10]  Madhumangal Pal,et al.  Fuzzy k-competition graphs , 2013, 2013 Science and Information Conference.

[11]  Madhumangal Pal.  Fuzzy Tolerance Graph , 2012 .

[12]  Madhumangal Pal,et al.  Bipolar Fuzzy Hypergraphs , 2012 .

[13]  Madhumangal Pal,et al.  Irregular Bipolar Fuzzy Graphs , 2012, ArXiv.

[14]  Madhumangal Pal,et al.  Fuzzy k-competition graphs and p-competition fuzzy graphs , 2013 .

[15]  Kiran R. Bhutani,et al.  On M-strong fuzzy graphs , 2003, Inf. Sci..

[16]  John N. Mordeson,et al.  Fuzzy Graphs and Fuzzy Hypergraphs , 2000, Studies in Fuzziness and Soft Computing.

[17]  M. Naga Maruthi Kumari,et al.  Isomorphism On Interval-Valued Fuzzy Graphs , 2016 .

[18]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[19]  Madhumangal Pal,et al.  Antipodal Interval-Valued Fuzzy Graphs , 2014, ArXiv.

[20]  Talebi.  Some Operations on Vague Graphs , 2014 .

[21]  R. Biswas,et al.  I-v fuzzy relations and Sanchez's approach for medical diagnosis , 1992 .

[22]  John N. Mordeson,et al.  Operations on Fuzzy Graphs , 1994, Inf. Sci..

[23]  Madhumangal Pal,et al.  Concept of fuzzy planar graphs , 2013, 2013 Science and Information Conference.

[24]  Madhumangal Pal,et al.  Fuzzy Threshold Graphs , 2011 .

[25]  J. Mendel.  Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions , 2001 .

[26]  Muhammad Akram.  Interval-valued fuzzy line graphs , 2011, Neural Computing and Applications.

[27]  Lotfi A. Zadeh,et al.  Similarity relations and fuzzy orderings , 1971, Inf. Sci..