FEASIBLE SET Meaning and
Definition
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A feasible set refers to a collection or subset of possible solutions or outcomes that meet a given set of constraints or criteria. It represents all the viable options that can be considered as potential solutions for a particular problem or objective. The feasibility of these solutions is determined by their ability to satisfy the specified limitations or requirements.
In various fields such as mathematics, engineering, economics, and optimization, a feasible set is extensively used to analyze and evaluate the available alternatives within a given framework. The constraints or criteria that define the feasibility may include mathematical equations, physical limitations, budgetary constraints, time restrictions, or any other factors that determine the feasibility of a solution.
The feasible set is often represented mathematically as a domain or range within which the variables or parameters of the problem can vary while still satisfying the given conditions. It helps in narrowing down the search space and excluding all the solutions that do not meet the specified constraints. By considering the feasible set, decision-makers can identify and evaluate the most practical and viable options for resolving a problem or achieving a particular objective.
In summary, a feasible set encompasses all the possible solutions or outcomes that are capable of meeting the defined criteria or constraints. It serves as a valuable tool in decision-making processes, offering a systematic approach to identify, evaluate, and select the most favorable alternatives within a given set of limitations.
Etymology of FEASIBLE SET
The term "feasible set" comes from the combination of two words: "feasible" and "set".
The word "feasible" originates from the Latin word "facere" which means "to do" or "to make". In English, "feasible" is an adjective that means something is possible to be done or accomplished, or it is realistic and achievable.
On the other hand, the term "set" is derived from the Old English word "settan" which means "to put" or "to place". In modern English, "set" refers to a group or collection of things that belong together or share a common characteristic.
In the context of mathematics or optimization, a "feasible set" refers to a collection of points or solutions that satisfy certain constraints or conditions. It is a set of possible solutions that are acceptable or valid within a given problem or situation.
