This ontology provides an initial set of concepts supporting the representation of quantities, units, systems of quantities, and systems of units for use in FIBO. It is compatible with and can be mapped directly to the OMG Date Time Vocabulary (DTV) Quantities Ontology, but has been integrated into FND to provide local coverage of quantities and measurements and eliminate the SBVR mark-up. Quantities and Units Ontology a quantity value is expressed in terms of a particular measurement unit has measurement unit a quantity is an instance of the category of quantity that is the quantity kind has quantity kind a derived quantity is derived from a base quantity; a derived unit is derived from a base unit is derived from a number associated with a quantity value has numeric value a quantity kind in a conventionally chosen subset of a given system of quantities, where no subset quantity can be expressed in terms of the others base quantity a measurement unit that is defined by a system of units to be the reference measurement unit for a base quantity base unit a quantity kind, in a system of quantities, that is not a base quantity of the system but may be defined in terms of base quantities of the system derived quantity a measurement unit for a derived quantity derived unit a quantity, defined and adopted by convention, with which any other quantity of the same kind can be compared to express the ratio of the two quantities as a number measurement unit a property of a phenomenon, body, or substance, to which a number can be assigned with respect to a reference quantity a categorization type for ‘quantity’ that characterizes quantities as being mutually comparable quantity kind number and measurement unit together giving magnitude of a quantity quantity value a property that is of an individual thing and is quantifiable as an instance of some quantity kind particular quantity a quantity measured with respect to some other quantity rate set of quantities together with a set of non-contradictory equations relating those quantities system of quantities a set of measurement units associated with a system of quantities, together with a set of rules that assign one measurement unit to be the base unit for each base quantity in the system of quantities and a set of rules for the derivation of other units from the base units system of units 1 1 1 1 1 1 1 1 1 1 1 1 Copyright (c) 2015-2016 EDM Council, Inc. Copyright (c) 2015-2016 Object Management Group, Inc. http://www.omg.org/techprocess/ab/SpecificationMetadata/MITLicense QuantitiesAndUnits.rdf fibo-fnd-qt-qtu This ontology provides an initial set of concepts supporting the representation of quantities, units, systems of quantities, and systems of units for use in FIBO. It is compatible with and can be mapped directly to the OMG Date Time Vocabulary (DTV) Quantities Ontology, but has been integrated into FND to provide local coverage of quantities and measurements and eliminate the SBVR mark-up. http://www.omg.org/spec/EDMC-FIBO/FND/Utilities/AnnotationVocabulary/ http://www.omg.org/spec/EDMC-FIBO/FND/Relations/Relations/ http://www.omg.org/spec/EDMC-FIBO/FND/Arrangements/Arrangements/ http://www.omg.org/spec/EDMC-FIBO/FND/Arrangements/ClassificationSchemes/ http://www.omg.org/spec/EDMC-FIBO/FND/Utilities/Analytics/ http://www.omg.org/spec/ODM/ http://www.w3.org/standards/techs/owl#w3c_all a quantity value is expressed in terms of a particular measurement unit http://www.omg.org/spec/DTV/1.1/ a quantity is an instance of the category of quantity that is the quantity kind hour (the duration) is an instance of ‘duration’ – a specific quantity of time. So the quantity kind of ‘hour’ is ‘duration’. http://www.omg.org/spec/DTV/1.1/ a derived quantity is derived from a base quantity; a derived unit is derived from a base unit http://www.omg.org/spec/DTV/1.1/ a number associated with a quantity value http://www.omg.org/spec/DTV/1.1/ a quantity kind in a conventionally chosen subset of a given system of quantities, where no subset quantity can be expressed in terms of the others The International System of Quantities (ISQ) comprises these base quantities (with their SI base measurement units): length (meter), mass (kilogram), duration (second), electric current (ampere), thermodynamic temperature (kelvin), amount of substance (mole), and luminous intensity (candela). These base quantities are not mutually comparable. All quantities of any one of these kinds are, however, mutually comparable. http://www.omg.org/spec/DTV/1.1/ a measurement unit that is defined by a system of units to be the reference measurement unit for a base quantity Quantity units that are not base units are derived units. http://www.omg.org/spec/DTV/1.1/ a quantity kind, in a system of quantities, that is not a base quantity of the system but may be defined in terms of base quantities of the system velocity (length/time), mass density (mass/length3) http://www.omg.org/spec/DTV/1.1/ a measurement unit for a derived quantity Every derived unit is defined in terms of base units. 1 minute = 60 seconds http://www.omg.org/spec/DTV/1.1/ a quantity, defined and adopted by convention, with which any other quantity of the same kind can be compared to express the ratio of the two quantities as a number week, day, hour, minute, second, kilogram, joule, meter http://www.omg.org/spec/DTV/1.1/ a property of a phenomenon, body, or substance, to which a number can be assigned with respect to a reference The term quantity is used here to refer to the abstraction of the properties - the amount of measurable stuff that can be compared between particular quantities. The height of the something refers to a particular quantity; 555 ft 5 inches refers to a quantity value. second, kilogram, joule, meter. These are quantities in a general sense, which is what is meant here by quantity. A quantity as defined here is said to be a “scalar” as distinct from a “vector.” However, a vector or a tensor whose components are quantities is also considered to be a quantity. http://www.omg.org/spec/DTV/1.1/ a categorization type for ‘quantity’ that characterizes quantities as being mutually comparable duration, mass, energy, length http://www.omg.org/spec/DTV/1.1/ Every instance of ‘quantity kind’ is also a specialization of ‘quantity’. So the concept ‘duration’ is an instance of ‘quantity kind’ and it is a specialization of ‘quantity’, i.e., it is a classifier of actual quantities. But a given duration (i.e., the duration of something) is an instance of ‘duration’ and thus a ‘particular quantity,’ not an instance of ‘quantity kind’. For example, a ‘year’ is not an instance of quantity kind; it is an instance of quantity, but not a category of quantity. number and measurement unit together giving magnitude of a quantity The quantity expressed by a quantity value is the quantity whose ratio to the measurement unit is the number. 2 days, 3.5 hours, 150 lb, 45.5 miles http://www.omg.org/spec/DTV/1.1/ a property that is of an individual thing and is quantifiable as an instance of some quantity kind http://www.omg.org/spec/DTV/1.1/ The weight of a given person, the mass of the Earth, the speed of light, and the distance between and are said to be “particular quantities.” A particular quantity is given by a definite description, which identifies the individual thing and the property. Particular quantities are properties of particular things and are generally expressed by a term for the property and a quantity value. a quantity measured with respect to some other quantity http://www.thefreedictionary.com/rate http://www.icoachmath.com/math_dictionary/rate.html set of quantities together with a set of non-contradictory equations relating those quantities http://www.omg.org/spec/DTV/1.1/ a set of measurement units associated with a system of quantities, together with a set of rules that assign one measurement unit to be the base unit for each base quantity in the system of quantities and a set of rules for the derivation of other units from the base units The International System of Units (SI) is a system of units. http://www.omg.org/spec/DTV/1.1/