A Scalable Multi-objective Test Problem Toolkit View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2005

AUTHORS

Simon Huband , Luigi Barone , Lyndon While , Phil Hingston

ABSTRACT

This paper presents a new toolkit for creating scalable multi-objective test problems. The WFG Toolkit is flexible, allowing characteristics such as bias, multi-modality, and non-separability to be incorporated and combined as desired. A wide variety of Pareto optimal geometries are also supported, including convex, concave, mixed convex/concave, linear, degenerate, and disconnected geometries.All problems created by the WFG Toolkit are well defined, are scalable with respect to both the number of objectives and the number of parameters, and have known Pareto optimal sets. Nine benchmark multi-objective problems are suggested, including one that is both multi-modal and non-separable, an important combination of characteristics that is lacking among existing (scalable) multi-objective problems. More... »

PAGES

280-295

Book

TITLE

Evolutionary Multi-Criterion Optimization

ISBN

978-3-540-24983-2
978-3-540-31880-4

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-540-31880-4_20

DOI

http://dx.doi.org/10.1007/978-3-540-31880-4_20

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1013211326


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0103", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Numerical and Computational Mathematics", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Edith Cowan University, 6050, Mount Lawley, WA, Australia", 
          "id": "http://www.grid.ac/institutes/grid.1038.a", 
          "name": [
            "Edith Cowan University, 6050, Mount Lawley, WA, Australia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Huband", 
        "givenName": "Simon", 
        "id": "sg:person.011012030716.24", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011012030716.24"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "The University of Western Australia, 6009, Crawley, WA, Australia", 
          "id": "http://www.grid.ac/institutes/grid.1012.2", 
          "name": [
            "The University of Western Australia, 6009, Crawley, WA, Australia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Barone", 
        "givenName": "Luigi", 
        "id": "sg:person.014705465222.86", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014705465222.86"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "The University of Western Australia, 6009, Crawley, WA, Australia", 
          "id": "http://www.grid.ac/institutes/grid.1012.2", 
          "name": [
            "The University of Western Australia, 6009, Crawley, WA, Australia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "While", 
        "givenName": "Lyndon", 
        "id": "sg:person.07765105623.00", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07765105623.00"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Edith Cowan University, 6050, Mount Lawley, WA, Australia", 
          "id": "http://www.grid.ac/institutes/grid.1038.a", 
          "name": [
            "Edith Cowan University, 6050, Mount Lawley, WA, Australia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Hingston", 
        "givenName": "Phil", 
        "id": "sg:person.011027004775.14", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011027004775.14"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "2005", 
    "datePublishedReg": "2005-01-01", 
    "description": "This paper presents a new toolkit for creating scalable multi-objective test problems. The WFG Toolkit is flexible, allowing characteristics such as bias, multi-modality, and non-separability to be incorporated and combined as desired. A wide variety of Pareto optimal geometries are also supported, including convex, concave, mixed convex/concave, linear, degenerate, and disconnected geometries.All problems created by the WFG Toolkit are well defined, are scalable with respect to both the number of objectives and the number of parameters, and have known Pareto optimal sets. Nine benchmark multi-objective problems are suggested, including one that is both multi-modal and non-separable, an important combination of characteristics that is lacking among existing (scalable) multi-objective problems.", 
    "editor": [
      {
        "familyName": "Coello Coello", 
        "givenName": "Carlos A.", 
        "type": "Person"
      }, 
      {
        "familyName": "Hern\u00e1ndez Aguirre", 
        "givenName": "Arturo", 
        "type": "Person"
      }, 
      {
        "familyName": "Zitzler", 
        "givenName": "Eckart", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-540-31880-4_20", 
    "inLanguage": "en", 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-3-540-24983-2", 
        "978-3-540-31880-4"
      ], 
      "name": "Evolutionary Multi-Criterion Optimization", 
      "type": "Book"
    }, 
    "keywords": [
      "multi-objective problem", 
      "multi-objective test problems", 
      "benchmark multi-objective problems", 
      "number of objectives", 
      "Pareto optimal set", 
      "test problems", 
      "number of parameters", 
      "optimal set", 
      "optimal geometry", 
      "problem", 
      "new toolkit", 
      "geometry", 
      "convex", 
      "concave", 
      "important combinations", 
      "toolkit", 
      "degenerate", 
      "set", 
      "wide variety", 
      "number", 
      "parameters", 
      "one", 
      "respect", 
      "objective", 
      "bias", 
      "variety", 
      "characteristics", 
      "combination", 
      "paper", 
      "convex/concave", 
      "scalable multi-objective test problems", 
      "WFG Toolkit", 
      "Pareto optimal geometries", 
      "disconnected geometries", 
      "Scalable Multi-objective Test Problem Toolkit", 
      "Multi-objective Test Problem Toolkit", 
      "Test Problem Toolkit", 
      "Problem Toolkit"
    ], 
    "name": "A Scalable Multi-objective Test Problem Toolkit", 
    "pagination": "280-295", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1013211326"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-540-31880-4_20"
        ]
      }
    ], 
    "publisher": {
      "name": "Springer Nature", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-540-31880-4_20", 
      "https://app.dimensions.ai/details/publication/pub.1013211326"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2021-11-01T18:50", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20211101/entities/gbq_results/chapter/chapter_210.jsonl", 
    "type": "Chapter", 
    "url": "https://doi.org/10.1007/978-3-540-31880-4_20"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/978-3-540-31880-4_20'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-540-31880-4_20'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-540-31880-4_20'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-540-31880-4_20'


 

This table displays all metadata directly associated to this object as RDF triples.

132 TRIPLES      23 PREDICATES      64 URIs      57 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-540-31880-4_20 schema:about anzsrc-for:01
2 anzsrc-for:0103
3 schema:author Ndeaeab677c074b0a9f50fbeab2383f75
4 schema:datePublished 2005
5 schema:datePublishedReg 2005-01-01
6 schema:description This paper presents a new toolkit for creating scalable multi-objective test problems. The WFG Toolkit is flexible, allowing characteristics such as bias, multi-modality, and non-separability to be incorporated and combined as desired. A wide variety of Pareto optimal geometries are also supported, including convex, concave, mixed convex/concave, linear, degenerate, and disconnected geometries.All problems created by the WFG Toolkit are well defined, are scalable with respect to both the number of objectives and the number of parameters, and have known Pareto optimal sets. Nine benchmark multi-objective problems are suggested, including one that is both multi-modal and non-separable, an important combination of characteristics that is lacking among existing (scalable) multi-objective problems.
7 schema:editor Na190876a335847c3a16140d767f1c249
8 schema:genre chapter
9 schema:inLanguage en
10 schema:isAccessibleForFree false
11 schema:isPartOf N3a2cd3c6b3004865a84e3eb2b6e0e601
12 schema:keywords Multi-objective Test Problem Toolkit
13 Pareto optimal geometries
14 Pareto optimal set
15 Problem Toolkit
16 Scalable Multi-objective Test Problem Toolkit
17 Test Problem Toolkit
18 WFG Toolkit
19 benchmark multi-objective problems
20 bias
21 characteristics
22 combination
23 concave
24 convex
25 convex/concave
26 degenerate
27 disconnected geometries
28 geometry
29 important combinations
30 multi-objective problem
31 multi-objective test problems
32 new toolkit
33 number
34 number of objectives
35 number of parameters
36 objective
37 one
38 optimal geometry
39 optimal set
40 paper
41 parameters
42 problem
43 respect
44 scalable multi-objective test problems
45 set
46 test problems
47 toolkit
48 variety
49 wide variety
50 schema:name A Scalable Multi-objective Test Problem Toolkit
51 schema:pagination 280-295
52 schema:productId N3f300764eaa540e79d48ecee34438769
53 Nd3e2a5b32c104030b55e5b9290cbce9d
54 schema:publisher N1af57e115f78498eb38d714710f8abca
55 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013211326
56 https://doi.org/10.1007/978-3-540-31880-4_20
57 schema:sdDatePublished 2021-11-01T18:50
58 schema:sdLicense https://scigraph.springernature.com/explorer/license/
59 schema:sdPublisher Nb3bad24e9b2142b68f08107da94b8d99
60 schema:url https://doi.org/10.1007/978-3-540-31880-4_20
61 sgo:license sg:explorer/license/
62 sgo:sdDataset chapters
63 rdf:type schema:Chapter
64 N0e1bf1f9c7df473d8a7d9142670a8540 rdf:first sg:person.014705465222.86
65 rdf:rest N121f425ac02a48c896bfdd1f3f43fdd8
66 N121f425ac02a48c896bfdd1f3f43fdd8 rdf:first sg:person.07765105623.00
67 rdf:rest Nd40374db788949588749f2997dd3a555
68 N1af57e115f78498eb38d714710f8abca schema:name Springer Nature
69 rdf:type schema:Organisation
70 N2b8d180fe008475ea15485f315b8cc19 schema:familyName Hern√°ndez Aguirre
71 schema:givenName Arturo
72 rdf:type schema:Person
73 N3a2cd3c6b3004865a84e3eb2b6e0e601 schema:isbn 978-3-540-24983-2
74 978-3-540-31880-4
75 schema:name Evolutionary Multi-Criterion Optimization
76 rdf:type schema:Book
77 N3f300764eaa540e79d48ecee34438769 schema:name doi
78 schema:value 10.1007/978-3-540-31880-4_20
79 rdf:type schema:PropertyValue
80 N4e7bbc0b715f459ea1be0ca76f903099 schema:familyName Zitzler
81 schema:givenName Eckart
82 rdf:type schema:Person
83 N9406208ab85340af8ffe05a5a63361f6 rdf:first N2b8d180fe008475ea15485f315b8cc19
84 rdf:rest Nd6db9bf480884d06bdeb8dd3f9b9337a
85 Na190876a335847c3a16140d767f1c249 rdf:first Nd86e3fadf0fd4e4c81e7dc6ad1d03887
86 rdf:rest N9406208ab85340af8ffe05a5a63361f6
87 Nb3bad24e9b2142b68f08107da94b8d99 schema:name Springer Nature - SN SciGraph project
88 rdf:type schema:Organization
89 Nd3e2a5b32c104030b55e5b9290cbce9d schema:name dimensions_id
90 schema:value pub.1013211326
91 rdf:type schema:PropertyValue
92 Nd40374db788949588749f2997dd3a555 rdf:first sg:person.011027004775.14
93 rdf:rest rdf:nil
94 Nd6db9bf480884d06bdeb8dd3f9b9337a rdf:first N4e7bbc0b715f459ea1be0ca76f903099
95 rdf:rest rdf:nil
96 Nd86e3fadf0fd4e4c81e7dc6ad1d03887 schema:familyName Coello Coello
97 schema:givenName Carlos A.
98 rdf:type schema:Person
99 Ndeaeab677c074b0a9f50fbeab2383f75 rdf:first sg:person.011012030716.24
100 rdf:rest N0e1bf1f9c7df473d8a7d9142670a8540
101 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
102 schema:name Mathematical Sciences
103 rdf:type schema:DefinedTerm
104 anzsrc-for:0103 schema:inDefinedTermSet anzsrc-for:
105 schema:name Numerical and Computational Mathematics
106 rdf:type schema:DefinedTerm
107 sg:person.011012030716.24 schema:affiliation grid-institutes:grid.1038.a
108 schema:familyName Huband
109 schema:givenName Simon
110 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011012030716.24
111 rdf:type schema:Person
112 sg:person.011027004775.14 schema:affiliation grid-institutes:grid.1038.a
113 schema:familyName Hingston
114 schema:givenName Phil
115 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011027004775.14
116 rdf:type schema:Person
117 sg:person.014705465222.86 schema:affiliation grid-institutes:grid.1012.2
118 schema:familyName Barone
119 schema:givenName Luigi
120 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014705465222.86
121 rdf:type schema:Person
122 sg:person.07765105623.00 schema:affiliation grid-institutes:grid.1012.2
123 schema:familyName While
124 schema:givenName Lyndon
125 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07765105623.00
126 rdf:type schema:Person
127 grid-institutes:grid.1012.2 schema:alternateName The University of Western Australia, 6009, Crawley, WA, Australia
128 schema:name The University of Western Australia, 6009, Crawley, WA, Australia
129 rdf:type schema:Organization
130 grid-institutes:grid.1038.a schema:alternateName Edith Cowan University, 6050, Mount Lawley, WA, Australia
131 schema:name Edith Cowan University, 6050, Mount Lawley, WA, Australia
132 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...