Max-Min Intuitionistic Fuzzy Matrix of an Intuitionistic Fuzzy Graph

Deepa, G.; Praba, B.; Chandrasekaran, V. M.

doi:10.12732/ijpam.v98i3.10

Cited by 5 publications

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References 11 publications

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“…Many authors (see [13], [3], [4], [9], [10]) discussed the existence of an epidemic threshold τ c . In 2015 (see [6]), Max-Min intuitionistic fuzzy matrix M (G) of an intuitionistic fuzzy graph is defined and the extreme energy of M (G) is obtained. Also an explicit expression of the coefficients of the characteristic polynomial of M (G) is determined.…”

Section: Introductionmentioning

confidence: 99%

Spreading Rate of Virus Between Incoming and Outgoing Links of a Website Through an Intuitionistic Fuzzy Graph

Praba¹,

Deepa²,

Chandrasekaran³

2016

Int. J. of Pure and Appl. Math.

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In this paper we analyzed the spreading rate of virus between incoming and outgoing links to a website. We have taken the website http://www.pantechsolutions.net/. This website is modeled as an intuitionistic fuzzy graph G = (V, E, µ, γ) by considering the navigation of the customers. In this intuitionistic fuzzy graph, the links are considered as vertices and the path of the links is considered as edges. The weightage of each edge are considered as number of visitors (membership value), number of non-visitors (non-membership) and drop off case (intuitionistic fuzzy index). For four different time periods, the four links 1. Microcontroller-boards, 2. /Log-in html, 3. / and 4. /Project kits of the given website are taken for our calculation. In this intuitionistic fuzzy graph we constructed two intuitionistic fuzzy matrices using incoming and outgoing links to G. The energy of these matrices along with its lower and upper bound are discussed. The spreading rate of virus of the given graph in terms of these two matrices is discussed. These concepts are illustrated with real time example.

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