Trapezoidal intuitionistic fuzzy number with some arithmetic operations and its application on reliability evaluation
type: Item
instance of: scholarly article
title: Trapezoidal intuitionistic fuzzy number with some arithmetic operations and its application on reliability evaluation
zbMATH Open document ID: 1390.90294
DOI: 10.1504/IJMOR.2013.050512
author: Xianqiang Yang
published in: International Journal of Mathematics in Operational Research
publication date: 2018-05-29T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 90B25
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 6876007
zbMATH Keywords: fuzzy sets
zbMATH Keywords: IFN
zbMATH Keywords: intuitionistic fuzzy numbers
zbMATH Keywords: system reliability
zbMATH Keywords: TrIFN
zbMATH Keywords: trapezoidal intuitionistic fuzzy number
MaRDI profile type: Publication
full work available at URL: ijmor.2013.050512
OpenAlex ID: W2155188000
description: scientific article; zbMATH DE number 6876007