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Intuitionistic Fuzzy Graphs

In: Modern Trends in Fuzzy Graph Theory

Author

Listed:
  • Madhumangal Pal

    (Vidyasagar University, Department of Applied Mathematics)

  • Sovan Samanta

    (Tamralipta Mahavidyalaya, Department of Mathematics)

  • Ganesh Ghorai

    (Vidyasagar University, Department of Applied Mathematics)

Abstract

It is well known that in fuzzy set only one characteristic of an element is considered called membership value, i.e. the degree of belongingness (or degree of acceptance) of an element in the set. But, the counter complement part, i.e. the degree of non-belongingness (or degree of rejection) is not considered, though this case occurs naturally in almost all real situations. So to handle both these characteristics, Atanassov [3, 4] introduced a new type of fuzzy set called intuitionistic fuzzy set (IFS) and it became popular within a very short period and used it in many fields of science and engineering. Based on the concept of IFS, Parvathi and Karunambigai [19] defined intuitionistic fuzzy graph (IFG) in 2006.

Suggested Citation

  • Madhumangal Pal & Sovan Samanta & Ganesh Ghorai, 2020. "Intuitionistic Fuzzy Graphs," Springer Books, in: Modern Trends in Fuzzy Graph Theory, chapter 0, pages 225-274, Springer.
    • Handle: RePEc:spr:sprchp:978-981-15-8803-7_9
    DOI: 10.1007/978-981-15-8803-7_9
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