Belief Distribution
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Belief Distribution
A belief structure is a distributed assessment with beliefs. Evidential reasoning A belief structure is used in the evidential reasoning (ER) approach for multiple-criteria decision analysis (MCDA) to represent the performance of an alternative option on a criterion. In the ER approach, an MCDA problem is modelled by a belief decision matrix instead of a conventional decision matrix. The difference between the two is that, in the former, each element is a belief structure; in the latter, conversely, each element is a single value (either numerical or textual). Application For example, the quality of a car engine may be assessed to be “excellent” with a high degree of belief (e.g. 0.6) due to its low fuel consumption A fuel is any material that can be made to react with other substances so that it releases energy as thermal energy or to be used for work. The concept was originally applied solely to those materials capable of releasing chemical energy but ..., low ...
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Belief
A belief is an attitude that something is the case, or that some proposition is true. In epistemology, philosophers use the term "belief" to refer to attitudes about the world which can be either true or false. To believe something is to take it to be true; for instance, to believe that snow is white is comparable to accepting the truth of the proposition "snow is white". However, holding a belief does not require active introspection. For example, few carefully consider whether or not the sun will rise tomorrow, simply assuming that it will. Moreover, beliefs need not be ''occurrent'' (e.g. a person actively thinking "snow is white"), but can instead be ''dispositional'' (e.g. a person who if asked about the color of snow would assert "snow is white"). There are various different ways that contemporary philosophers have tried to describe beliefs, including as representations of ways that the world could be (Jerry Fodor), as dispositions to act as if certain things are true ( ...
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Evidential Reasoning Approach
In decision theory, the evidential reasoning approach (ER) is a generic evidence-based multi-criteria decision analysis (MCDA) approach for dealing with problems having both quantitative and qualitative criteria under various uncertainties including ignorance and randomness. It has been used to support various decision analysis, assessment and evaluation activities such as environmental impact assessment and organizational self-assessment based on a range of quality models. Overview The evidential reasoning approach has recently been developed on the basis of decision theory in particular utility theory, artificial intelligence in particular the theory of evidence, statistical analysis and computer technology. It uses a belief structure to model an assessment with uncertainty, a belief decision matrix to represent an MCDA problem under uncertainty, evidential reasoning algorithms to aggregate criteria for generating distributed assessments, and the concepts of the belief and pla ...
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Multiple-criteria Decision Analysis
Multiple-criteria decision-making (MCDM) or multiple-criteria decision analysis (MCDA) is a sub-discipline of operations research that explicitly evaluates multiple conflicting criteria in decision making (both in daily life and in settings such as business, government and medicine). Conflicting criteria are typical in evaluating options: cost or price is usually one of the main criteria, and some measure of quality is typically another criterion, easily in conflict with the cost. In purchasing a car, cost, comfort, safety, and fuel economy may be some of the main criteria we consider – it is unusual that the cheapest car is the most comfortable and the safest one. In portfolio management, managers are interested in getting high returns while simultaneously reducing risks; however, the stocks that have the potential of bringing high returns typically carry high risk of losing money. In a service industry, customer satisfaction and the cost of providing service are fundamen ...
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Belief Decision Matrix
A decision matrix is a list of values in rows and columns that allows an analyst to systematically identify, analyze, and rate the performance of relationships between sets of values and information. Elements of a decision matrix show decisions based on certain decision criteria. The matrix is useful for looking at large masses of decision factors and assessing each factor's relative significance by weighting them by importance. Multiple-criteria decision analysis The term ''decision matrix'' is used to describe a multiple-criteria decision analysis (MCDA) problem. An MCDA problem, where there are ''M'' alternative options and each needs to be assessed on ''N'' criteria, can be described by the decision matrix which has ''N'' rows and ''M'' columns, or ''M'' × ''N'' elements, as shown in the following table. Each element, such as ''X''''ij'', is either a single numerical value or a single grade, representing the performance of alternative ''i'' on criterion ''j''. For e ...
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Decision Matrix
A decision matrix is a list of values in rows and columns that allows an analyst to systematically identify, analyze, and rate the performance of relationships between sets of values and information. Elements of a decision matrix show decisions based on certain decision criteria. The matrix is useful for looking at large masses of decision factors and assessing each factor's relative significance by weighting them by importance. Multiple-criteria decision analysis The term ''decision matrix'' is used to describe a multiple-criteria decision analysis (MCDA) problem. An MCDA problem, where there are ''M'' alternative options and each needs to be assessed on ''N'' criteria, can be described by the decision matrix which has ''N'' rows and ''M'' columns, or ''M'' × ''N'' elements, as shown in the following table. Each element, such as ''X''''ij'', is either a single numerical value or a single grade, representing the performance of alternative ''i'' on criterion ''j''. For e ...
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Fuel Consumption
A fuel is any material that can be made to react with other substances so that it releases energy as thermal energy or to be used for work. The concept was originally applied solely to those materials capable of releasing chemical energy but has since also been applied to other sources of heat energy, such as nuclear energy (via nuclear fission and nuclear fusion). The heat energy released by reactions of fuels can be converted into mechanical energy via a heat engine. Other times, the heat itself is valued for warmth, cooking, or industrial processes, as well as the illumination that accompanies combustion. Fuels are also used in the cells of organisms in a process known as cellular respiration, where organic molecules are oxidized to release usable energy. Hydrocarbons and related organic molecules are by far the most common source of fuel used by humans, but other substances, including radioactive metals, are also utilized. Fuels are contrasted with other substances o ...
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