Analyzing Fuzzy System Reliability Based on the Vague Set Theory

2007 ◽  
pp. 347-362 ◽  
Author(s):  
Shyi-Ming Chen
Keyword(s):  
Set Theory ◽  
System Reliability ◽  
Fuzzy System ◽  
Vague Set

Matching area selection of an underwater terrain navigation database with fuzzy multi-attribute decision making method

2018 ◽  
Vol 233 (4) ◽  
pp. 1133-1140 ◽  
Author(s):  
Lihui Wang ◽  
Desheng Sun ◽  
Qingya Liu ◽  
Le Yu
Keyword(s):  
Set Theory ◽  
Membership Functions ◽  
Vague Set ◽  
Topographic Factor ◽  
Vague Sets ◽  
Multi Attribute Decision Making ◽  
Matching Performance ◽  
Simulation Results ◽  
Terrain Matching ◽  
Selection Of

Selecting suitable underwater terrain navigation matching areas is a prerequisite for building an underwater terrain navigation database, which is important for vehicles operating underwater. By using information features to evaluate underwater terrain matching areas, vague sets are proposed to evaluate matching performance. Mathematical models of matching area features are built and topographic factor eigenvalues are obtained. With the topographic factor eigenvalues, fuzzy relationships between factor sets and judge sets are calculated. Vague set uses membership functions and non-membership functions to define the influence of topographic factor eigenvalues on matching suitability. Simulation results demonstrate that vague set theory can overcome the deficiency of single value in fuzzy sets and define the effect of geographic characteristics for matching performance. Based on vague set method, selection rules for terrain navigation matching areas in underwater terrain database are put forward.

Multicriteria fuzzy decision-making problems based on vague set theory

2000 ◽  
Vol 114 (1) ◽  
pp. 103-113 ◽  
Author(s):  
Dug Hun Hong ◽  
Chang-Hwan Choi
Keyword(s):  
Decision Making ◽  
Set Theory ◽  
Fuzzy Decision Making ◽  
Fuzzy Decision ◽  
Vague Set

Fuzzy System Reliability Analysis Based on Confidence Interval

2012 ◽  
Vol 433-440 ◽  
pp. 4908-4914 ◽  
Author(s):  
Ezzatallah Baloui Jamkhaneh ◽  
Azam Nozari
Keyword(s):  
Confidence Interval ◽  
System Reliability ◽  
Fuzzy System ◽  
Statistical Data ◽  
Parallel Systems ◽  
Fuzzy Data ◽  
Statistical Methodology ◽  
Fuzzy Reliability ◽  
Numerical Examples ◽  
Cut Set

This paper proposes a new method for analyzing the fuzzy system reliability of a parallel-series and series-parallel systems using fuzzy confidence interval, where the reliability of each component of each system is unknown. To compute system reliability, we are estimated reliability of each component of the systems using fuzzy statistical data with both tools appropriate for modeling fuzzy data and suitable statistical methodology to handle these data. Numerical examples are given to compute fuzzy reliability and its cut set and the calculating was performed by using programming in software R.

Time-dependent intuitionistic fuzzy system reliability analysis

2020 ◽  
Vol 24 (19) ◽  
pp. 14441-14448
Author(s):  
Mohammad Ghasem Akbari ◽  
Gholamreza Hesamian
Keyword(s):  
Reliability Analysis ◽  
System Reliability ◽  
Fuzzy System ◽  
Time Dependent ◽  
Intuitionistic Fuzzy ◽  
System Reliability Analysis
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