Intuitionistic Fuzzy Graphs

Madhumangal Pal (), Sovan Samanta and Ganesh Ghorai
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Madhumangal Pal: Vidyasagar University, Department of Applied Mathematics
Sovan Samanta: Tamralipta Mahavidyalaya, Department of Mathematics
Ganesh Ghorai: Vidyasagar University, Department of Applied Mathematics

Chapter Chapter 9 in Modern Trends in Fuzzy Graph Theory, 2020, pp 225-274 from Springer

Abstract: 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.

Date: 2020
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DOI: 10.1007/978-981-15-8803-7_9

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