Generalized fuzzy trees

Graphs are the backbone of many real systems like social networks, image segmentation, scheduling, etc. To input uncertainty to such systems, generalized fuzzy graphs are used. Generalized fuzzy tree is one generalized fuzzy subgraph of a generalized fuzzy graph which characterizes the whole graph. In this study, generalized fuzzy trees are introduced. The concepts of strongly connectedness, nearly disconnect, distance between two nodes, bridges are exemplified.

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

[2]  Madhumangal Pal,et al.  A study on bipolar fuzzy graphs , 2015, J. Intell. Fuzzy Syst..

[3]  Madhumangal Pal,et al.  Vague graphs and strengths , 2016, J. Intell. Fuzzy Syst..

[4]  Mujahid Abbas,et al.  Distance Measures and Operations in Intuitionistic and Interval-Valued Intuitionistic Fuzzy Soft Set Theory , 2015, Int. J. Fuzzy Syst..

[5]  Madhumangal Pal,et al.  Completeness and regularity of generalized fuzzy graphs , 2016, SpringerPlus.

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

[7]  Madhumangal Pal,et al.  A study on vague graphs , 2016, SpringerPlus.

[8]  Taeseon Yoon,et al.  FUZZY DECISION TREE , 2014 .

[9]  Ambat Vijayakumar,et al.  A Characterization of Fuzzy Trees , 1999, Inf. Sci..

[10]  Huda Mutab Al Mutab Fuzzy Graphs , 2019, JOURNAL OF ADVANCES IN MATHEMATICS.

[11]  Madhumangal Pal,et al.  Bipolar Fuzzy Graphs with Categorical Properties , 2015, Int. J. Comput. Intell. Syst..

[12]  M. McAllister,et al.  Fuzzy intersection graphs , 1988 .

[13]  Zhongsheng Hou,et al.  A Fuzzy-Neural Adaptive Terminal Iterative Learning Control for Fed-Batch Fermentation Processes , 2015, Int. J. Fuzzy Syst..

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

[15]  L. Kóczy Fuzzy graphs in the evaluation and optimization of networks , 1992 .

[16]  Madhumangal Pal,et al.  Fuzzy Planar Graphs , 2015, IEEE Transactions on Fuzzy Systems.

[17]  Muhammad Akram,et al.  Bipolar Fuzzy Trees , 2016 .

[18]  Kwai-Sang Chin,et al.  A Framework for Triangular Fuzzy Random Multiple-Criteria Decision Making , 2016, Int. J. Fuzzy Syst..

[19]  R. Parvathi,et al.  Intuitionistic Fuzzy Graphs , 2006 .