scholarly journals Attributes Inequality in Multidimensional Poverty MeasuresFuzzy Modeling

2022 ◽  
Author(s):  
Besma Belhadj
Keyword(s):  
Fuzzy Sets ◽  
Multidimensional Poverty ◽  
Well Being ◽  
Jel Classification ◽  
Fuzzy Sets Theory ◽  
Membership Functions ◽  
Poverty Measure ◽  
The Poor ◽  
Sets Theory

Abstract Poverty is recently considered to be a multidimensional one. That is to say the poor can suffer multiple disadvantages at the same time. This paper aims to further develop and refine the multidimensional poverty measure using Fuzzy Sets Theory (FST). The application of FST starts with the choice of membership functions and the rules to manipulate to integrate attributes inequality in multidimensional poverty measure. An application based on individual well-being data from Tunisian households in 2015 is presented to illustrate use proposed concepts. JEL classification: P46; I32; D81; C00;

Diagnosis of Faults in the Fuel Injection System of a Forging Machine Using Fuzzy Sets Theory

1994 ◽  
Vol 208 (2) ◽  
pp. 123-129
Author(s):  
D T Pham ◽  
M H Wu
Keyword(s):  
Fuzzy Sets ◽  
High Speed ◽  
Fuel Injection ◽  
Diagnostic System ◽  
Diagnostic Methods ◽  
Injection System ◽  
Fuzzy Sets Theory ◽  
Membership Functions ◽  
Sets Theory ◽  
Types Of Faults

This paper describes a diagnostic system for the fuel injection module in a high-speed forging machine. The system is based on the use of fuzzy sets techniques, with a fuzzy set representing each fault in the module. Empirical membership functions for the different fuzzy sets are employed to locate faults according to conditions observed on the forging machine. Two types of faults can be handled: faults due to one of more valves in the fuel injection module remaining in their unenergized state and faults caused by a valve being stuck in the energized state. Details of the diagnostic methods for both fault types are presented following a brief review of the operating principle of the forging machine.

scholarly journals Note on one inequality and its application in intuitionistic fuzzy sets theory. Part 1

2021 ◽  
Vol 27 (1) ◽  
pp. 53-59
Author(s):  
Mladen V. Vassilev-Missana
Keyword(s):  
Fuzzy Sets ◽  
Fuzzy Set ◽  
Intuitionistic Fuzzy Set ◽  
Intuitionistic Fuzzy Sets ◽  
Fuzzy Sets Theory ◽  
Membership Functions ◽  
Real Numbers ◽  
Intuitionistic Fuzzy ◽  
Sets Theory

The inequality \mu^{\frac{1}{\nu}} + \nu^{\frac{1}{\mu}} \leq 1 is introduced and proved, where \mu and \nu are real numbers, for which \mu, \nu \in [0, 1] and \mu + \nu \leq 1. The same inequality is valid for \mu = \mu_A(x), \nu = \nu_A(x), where \mu_A and \nu_A are the membership and the non-membership functions of an arbitrary intuitionistic fuzzy set A over a fixed universe E and x \in E. Also, a generalization of the above inequality for arbitrary n \geq 2 is proposed and proved.

scholarly journals Note on one inequality and its application in intuitionistic fuzzy sets theory. Part 2

2021 ◽  
Vol 27 (4) ◽  
pp. 78-81
Author(s):  
Mladen Vassilev-Missana
Keyword(s):  
Fuzzy Sets ◽  
Fuzzy Set ◽  
Intuitionistic Fuzzy Set ◽  
Intuitionistic Fuzzy Sets ◽  
Fuzzy Sets Theory ◽  
Membership Functions ◽  
Intuitionistic Fuzzy ◽  
Sets Theory

In the paper, the inequality \frac{\mu^{\frac{1}{\nu}}}{\nu} + \frac{\nu^{\frac{1}{\mu}}}{\mu} \leq \frac{1}{2\mu\nu} - 1 is introduced and proved. The same inequality is valid for \mu = \mu_A(x), \nu = \nu_A(x), where \mu_A and \nu_A are the membership and the non-membership functions of an arbitrary intuitionistic fuzzy set A over a fixed universe E and x \in E.

scholarly journals Condition Assessment Framework for Facility Management Based on Fuzzy Sets Theory

Buildings ◽  
2021 ◽  
Vol 11 (4) ◽  
pp. 156
Author(s):  
Deniz Besiktepe ◽  
Mehmet E. Ozbek ◽  
Rebecca A. Atadero
Keyword(s):  
Fuzzy Sets ◽  
Condition Index ◽  
Condition Assessment ◽  
Facility Management ◽  
Maintenance Management ◽  
Fuzzy Sets Theory ◽  
Mean Time Between Failures ◽  
Condition Rating ◽  
Computerized Maintenance Management System ◽  
Sets Theory

Condition information is essential to develop effective facility management (FM) strategies. Visual inspections and walk-through surveys are common practices of condition assessment (CA), generally resulting in qualitative and subjective outcomes such as “poor”, “good”, etc. Furthermore, limited resources of the FM process demand that CA practices be efficient. Given these, the purpose of this study is to develop a resource efficient quantitative CA framework that can be less subjective in establishing a condition rating. The condition variables of the study—mean time between failures, age-based obsolescence, facility condition index, occupant feedback, and preventive maintenance cycle—are identified through different sources, such as a computerized maintenance management system, expert opinions, occupants, and industry standards. These variables provide proxy measures for determining the condition of equipment with the implementation example for heating, ventilating, and air conditioning equipment. Fuzzy sets theory is utilized to obtain a quantitative condition rating while minimizing subjectivity, as fuzzy sets theory deals with imprecise, uncertain, and ambiguous judgments with membership relations. The proposed CA framework does not require additional resources, and the obtained condition rating value supports decision-making for building maintenance management and strategic planning in FM, with a comprehensive and less subjective understanding of condition.

Cardiovascular investigations and fuzzy sets theory

1975 ◽  
Vol 35 (1) ◽  
pp. 80-84 ◽  
Author(s):  
Daniel Kalmanson ◽  
H.Fred Stegall
Keyword(s):  
Fuzzy Sets ◽  
Fuzzy Sets Theory ◽  
Sets Theory

Part-period balancing with uncertainty: a fuzzy sets theory approach

1990 ◽  
Vol 28 (10) ◽  
pp. 1771-1778 ◽  
Author(s):  
Y. Y. LEE ◽  
B. A. KRAMER ◽  
C. L. HWANG
Keyword(s):  
Fuzzy Sets ◽  
Theory Approach ◽  
Fuzzy Sets Theory ◽  
Sets Theory
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