## Proceedings of the ... International Conference on Offshore Mechanics and Arctic Engineering, Volume 2American Society of Mechanical Engineers, 2001 - Arctic regions |

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Page 165

Rio de Janeiro , RJ , Brazil RELIABILITY STUDY OF SHIP HULL STRUCTURES

USING FUZZY

Centre Indian Institute oof technology , Madras Chennai 600 036 - India Y . . 0 = (

533 ...

Rio de Janeiro , RJ , Brazil RELIABILITY STUDY OF SHIP HULL STRUCTURES

USING FUZZY

**VARIABLES**K . Rajagopalan Professor Ocean EngineeringCentre Indian Institute oof technology , Madras Chennai 600 036 - India Y . . 0 = (

533 ...

Page 166

Fuzzy

as shown in Fig . ... Fuzzy

due to the capability of gradation levels of presumption , Q , which varies from 0

to 1 .

Fuzzy

**Variables**A fuzzy**variable**, A , is defined by its membership function , a ,as shown in Fig . ... Fuzzy

**variables**have therefore greater expressive powersdue to the capability of gradation levels of presumption , Q , which varies from 0

to 1 .

Page 277

Z = R - S where R = { 1 - The 7 - transform of individual

7x , ( 4 ; ) = u , = ( L° ) { t ( x ) } if x , < mx 1 ( x ) = u , = 0 if x , = m ... considered

normal convex fuzzy

a .

Z = R - S where R = { 1 - The 7 - transform of individual

**variable**can be written as7x , ( 4 ; ) = u , = ( L° ) { t ( x ) } if x , < mx 1 ( x ) = u , = 0 if x , = m ... considered

normal convex fuzzy

**variables**expressed by Triangular Fuzzy Numbers ( TFNs )a .

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acceptable analysis applied approach assessment associated assumed calculated coefficient combined components considered corresponding corrosion cost crack criteria damage dependent depth determined developed directional distribution dynamic effect element Engineering environmental equation estimate evaluated example expressed extreme factor failure fatigue Figure force frequency function fuzzy given growth important increase initial inspection limit load loss maintenance marine maximum mean measures Mechanics method motion normal observed obtained offshore operations parameters peak performed period pipe pipeline platform possible prediction present probability procedure production random range relative reliability represented response return period riser risk safety ship shown shows significant simulation spectral spectrum statistical storm strength stress structure surface Table theory typical uncertainty variables wave height wind