# order relation

## order relation

[′ȯrd·ər ri‚lā·shən] (mathematics)

Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

Link to this page:

https://encyclopedia2.thefreedictionary.com/order+relation

our app

- Dictionary
- Thesaurus
- Medical

Dictionary - Legal

Dictionary - Financial

Dictionary - Acronyms
- Idioms
- Encyclopedia
- Wikipedia

Encyclopedia

(mathematics)

Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

Link to this page:

A partial order relation on a set X (Poset) is a binary relation "[less than or equal to]" on X which satisfies conditions reflexivity, antisymmetry and transitivity.

[??] x y z x {x,y} {x,y} z y {x,z} {x,z} z z z z z and the order relation defined as [less than or equal to]: {(x,x),(y,y),(z,z),(z,x),(z,y)}.

We denote by [xi](S) the set of all fuzzy subsets of S and define an order relation "[subset or equal to]" on the fuzzy subsets of [xi](S) as follows:

Correlation order as an important stochastic order relation was first introduced by Joe [1]; Dhaene and Goovaerts [2] studied the bivariate case with the same marginals.

In the above studies, either the partial order relation on policy sets is required to satisfy, or every total order subset in policy sets must have an upper bound or certain convexity condition.

Unless otherwise mentioned, throughout this paper we let E denote a partially ordered real normed linear space with an order relation [??] and the norm [parallel]*[parallel] in which the addition and the scalar multiplication by positive real numbers are preserved by [??].

Decision-Making Based on Order Relation. Upon obtaining attribute weight, comprehensive decision-making information is assembled after nondimensionalisation from attribute dimensions, per the [NDNWAA.sup.w] operator in Formula (3), forming a decision-making information matrix [mathematical expression not reproducible] constituted by a single solution dimension.

ideal Lattice) according to the order relation which can be indicated as O([??](L)).

Order relation between two intervals [??] and [??] can be explained in two ways; first one is an extension of < on real line, that is, [mathematical expression not reproducible] iff [a.sup.R] < [b.sup.L], and the other is an extension of the concept of set inclusion, that is, [mathematical expression not reproducible] and [a.sup.R] < [b.sup.R].

Most of the surveyed algebras have essentially an order relation (i.e.

Similarly, (Wei Zhou et al., 2013) proposed Order Relation Vector Model for calculating QoS preference based on four QoS attributes such as Price, Response time (the delay), Reliability and Reputation.

Remember that for the desired reductio to work, whatever is necessary for Lewis' theory of intra-world causation must be sufficient for trans-world causation; and while Lewis' theory does not require anything stronger than a weak order relation of closeness among worlds, this is not sufficient to construct the kind of closeness relation among pairs of worlds necessary for trans-world causation.

- ▲
- Orczy
- Ord
- Ord, Edward Otho Cresap
- ORDBMS
- ordeal
- ordeal by fire
- Order
- Order Code Processor
- order form
- order of aberration
- Order of American Knights
- Order of Aviz
- order of degeneracy
- Order of Interference
- order of magnitude
- order of phase transition
- Order of Reaction
- Order of the Garter
- Order of the Golden Dawn
- Order of the Solar Temple
- Order of the Vampyre
- order paper
- order parameter
- order point
- order quantity
- order relation
- order statistics
- order tone
- order/dis-order
- order-disorder transition
- Ordered and Partially Ordered Sets
- ordered array
- ordered field
- ordered list
- ordered octad
- ordered pair
- ordered partition
- ordered quadruple
- ordered rings
- ordered tetrad
- ordered triple
- orderedn-tuple
- order-embedding
- Ordericus Vitalis
- ordering
- ordering upgrades
- Orderliness
- Orderly
- orderly shutdown
- Orders
- orders in council
- ▼

- ▲
- order Pseudoscorpionida
- order Pseudoscorpionida
- order Psilophytales
- order Psilophytales
- order Psilotales
- order Psilotales
- order Psittaciformes
- order Psittaciformes
- order Psocoptera
- order Psocoptera
- order Pterosauria
- order Pterosauria
- order Pulmonata
- order Pulmonata
- order Pycnogonida
- order Pycnogonida
- Order Qualification
- order quantity
- order quantity
- order Radiolaria
- order Radiolaria
- order Rajiformes
- order Rajiformes
- order Ranales
- order Ranales
- order Ranunculales
- order Ranunculales
- order Raptores
- order Raptores
- Order Ready Board
- order relation
- Order Request Form
- Order resolutionor vote
- Order Review Point
- order Rhamnales
- order Rheiformes
- order Rhoeadales
- order Rhynchocephalia
- order Rickettsiales
- order Rodentia
- order Rodentia
- order Rodentia
- Order room
- Order Rooms
- order Rosales
- Order Routing and Management System
- Order Routing System
- order Rubiales
- order Salicales
- order Salientia
- order Santalales
- order Sapindales
- order Saprolegniales
- order Sarcosporidia
- order Sarraceniales
- order Saurischia
- order Sauropterygia
- order Scandentia
- order Sclerodermatales
- order Scleroparei
- order Scorpionida
- ▼