On the Use of Fuzzy Constraints in Semisupervised Clustering

2016 ◽  
Vol 24 (4) ◽  
pp. 992-999 ◽  
Author(s):  
Irene Diaz-Valenzuela ◽  
M. Amparo Vila ◽  
Maria J. Martin-Bautista
Keyword(s):  
Fuzzy Constraints ◽  
Semisupervised Clustering

A Fast and Efficient Method for Hypothesis Assessment Using Fuzzy Constraints *

2000 ◽  
Vol 33 (11) ◽  
pp. 675-680
Author(s):  
D. Szegő ◽  
S. Baranyi ◽  
K. Tilly
Keyword(s):  
Efficient Method ◽  
Fuzzy Constraints

On Considering Constraints of Different Importance in Fuzzy Constraint Satisfaction Problems

1998 ◽  
Vol 06 (05) ◽  
pp. 489-501 ◽  
Author(s):  
Vicenç Torra I Reventós
Keyword(s):  
Constraint Satisfaction ◽  
Real World ◽  
Constraint Satisfaction Problems ◽  
Human Reasoning ◽  
Fuzzy Constraints ◽  
A Value ◽  
Equal Importance ◽  
Real World Applications ◽  
Fuzzy Constraint ◽  
Fuzzy Constraint Satisfaction

Several real-world applications (e.g., scheduling, configuration, …) can be formulated as Constraint Satisfaction Problems (CSP). In these cases, a set of variables have to be settled to a value with the requirement that they satisfy a set of constraints. Classical CSPs are defined only by means of crisp (Boolean) constraints. However, as sometimes Boolean constraints are too strict in relation to human reasoning, fuzzy constraints were introduced. When fuzzy constraints are considered, human reasoning usually performs some compensation between alternatives. Thus other operators than t-norms are advisable. Besides of that, not all constraints can be considered with equal importance. In this paper we show that the WOWA operator can consider both aspects: compensation between constraints and constraints of different importance.

A Fuzzy Multi-Objective Stochastic Programming Model for Allocation of Lands in Agricultural Systems

2019 ◽  
pp. 379-413
Keyword(s):  
Agricultural Land ◽  
Programming Model ◽  
Random Variables ◽  
Land Allocation ◽  
Agricultural Lands ◽  
Land Utilization ◽  
Planning Period ◽  
Fuzzy Constraints ◽  
Multi Objective ◽  
Multi Objective Programming

In this chapter, a fuzzy stochastic multi-objective programming model is presented for planning proper allocation of agricultural lands in hybrid uncertain environment so that optimal production of several seasonal crops in a planning year can be achieved. In India, demands of various seasonal crops are gradually increasing due to rapid growth of population, whereas agricultural lands are gradually decreasing due to urbanization. Therefore, it is a huge challenge to the planners to balance this situation by proper planning for the utilization of agricultural lands and resources. From that viewpoint, the methodology is developed in this chapter. To make the model more realistic, the resource parameters incorporated with the problem are considered either in the form of fuzzy numbers (FNs) or random variables having fuzzy parameters. The two main objectives of this agricultural land allocation model are considered as maximizing the production of seasonal agricultural crops and minimizing the total expenditure by utilizing total cultivable lands in a planning period. These objectives are optimized based on the constraints: land utilization, machine-hours, man-days, fertilizer requirements, water supply, etc. As the parameters associated with the constraints are imprecise and uncertain in nature, the constraints are represented using either FN or fuzzy random variables (FRVs). The reasons behind the consideration of fuzzy constraints or fuzzy chance constraints (i.e., the reason for considering the parameters associated with the constraints as FNs or FRVs in the model) are clarified in detail. As a study region, the District Nadia, West Bengal, India is taken into account for allocation of land. To illustrate the potential use of the approach, the model solutions are compared with the existing land allocation of the district.

scholarly journals Placement of shunt reactors in high-voltage network using fuzzy constraints

2019 ◽  
Vol 139 ◽  
pp. 01052
Author(s):  
Arif Hashimov ◽  
Huseyngulu Guliyev ◽  
Aytek Babayeva
Keyword(s):  
High Voltage ◽  
Reactive Power ◽  
Power Transmission ◽  
Operation Mode ◽  
Ease Of Use ◽  
Electrical Network ◽  
Control Voltage ◽  
Fuzzy Constraints ◽  
Definition Of ◽  
Shunt Reactors

In recent years, controlled shunt reactors (CSR) relevant to the class of FACTS facilities have been widely used to control voltage modes and reactive power flows in the high-voltage electrical network. The selection of location, as well as the definition of the law of CSR control in the conditions of stochastic variability of the operation mode of high-voltage power transmission, are associated with numerous technical and economic factors. At the same time, such constraint conditions as ease of use, performance efficiency, purpose and location in the system, as well as the period of commissioning should be taken into account. In the proposed procedure these factors are considered as fuzzy constraints. The procedure of CSR placement in the 330 kV electrical network of Azerenergy system for control of reactive power flows taking into account the mentioned fuzzy constraints is proposed. The obtained simulation results confirm the advantage of the proposed procedure.

Learning Choquet-Integral-Based Metrics for Semisupervised Clustering

2011 ◽  
Vol 19 (3) ◽  
pp. 562-574 ◽  
Author(s):  
Gleb Beliakov ◽  
Simon James ◽  
Gang Li
Keyword(s):  
Choquet Integral ◽  
Semisupervised Clustering
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