Trapezoidal intuitionistic fuzzy number with some arithmetic operations and its application on reliability evaluation
by A.K. Shaw; T.K. Roy
International Journal of Mathematics in Operational Research (IJMOR), Vol. 5, No. 1, 2013

Abstract: Generally, fuzzy sets are used to analyse fuzzy system reliability. Here, an Intuitionistic Fuzzy Set (IFS) theory has been used for analysing fuzzy system reliability. To analyse the fuzzy system reliability, the reliability of each component of the system is considered as a Trapezoidal Intuitionistic Fuzzy Number (TrIFN). At first, TrIFNs and their arithmetic operations are introduced. Expressions for computing the fuzzy reliability of a series system and a parallel system following TrIFNs have been described. Here, an imprecise reliability model of an electric network model of a dark room is taken. To compute the imprecise reliability of the above said system, the reliability of each component of the systems is represented by TrIFNs. A corresponding numerical example is presented.

Online publication date: Mon, 31-Mar-2014

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Mathematics in Operational Research (IJMOR):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com