The reliability analysis based on the generalized intuitionistic fuzzy two-parameter Pareto distribution

被引：11

作者：

Roohanizadeh, Zahra ^{[1
]}

Jamkhaneh, Ezzatallah Baloui ^{[1
]}

Deiri, Einolah ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Stat, Qaemshahr Branch, Qaemshahr, Iran

来源：

SOFT COMPUTING | 2023年 / 27卷 / 06期

关键词：

Generalized L-R type intuitionistic fuzzy numbers; (alpha(1); alpha(2))-cut set; Generalized intuitionistic fuzzy reliability; Generalized intuitionistic fuzzy probability; Two-parameter Pareto distribution; ARTIFICIAL-INTELLIGENCE TECHNIQUES; SYSTEM; TIME; TEMPERATURES; PREDICTION; FAILURE; SETS;

D O I：

10.1007/s00500-022-07494-x

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, the two-parameter Pareto lifetime distribution is considered with vague shape and scale parameters, where parameters are set as generalized intuitionistic fuzzy numbers. A new L-R type intuitionistic fuzzy number is introduced, and cuts of the new fuzzy set are provided. The generalized intuitionistic fuzzy reliability characteristics such as reliability, conditional reliability, hazard rate and mean time to failure functions are defined, along with the special case of the two-parameter Pareto generalized intuitionistic fuzzy reliability analysis. Furthermore, the series and parallel system reliability are evaluated by the generalized intuitionistic fuzzy sets. Finally, for certain cases of the fuzzy shape and scale parameters and cut set values, the generalized intuitionistic fuzzy reliability characteristics are provided and compared through several illustrative plots.

引用

页码：3095 / 3113

页数：19

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