Multi-objective optimization

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Multi-objective optimization

Quality:

Multi-objective optimization - area of multiple criteria decision making, that is concerned with mathematical optimization problems involving more than one objective function to be optimized simultaneously. Article "Multi-objective optimization" in English Wikipedia has 80.8 points for quality (as of July 1, 2025). The article contains 120 references and 31 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

In June 2025 the article "Multi-objective optimization" was edited by 4 authors in English Wikipedia and written by 5 authors in all languages.

Since the creation of article "Multi-objective optimization", its content was written by 156 registered users of English Wikipedia and edited by 356 registered Wikipedia users in all languages.

The article is cited 127 times in English Wikipedia and cited 299 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #21345 in April 2014
  • Global: #29375 in January 2024

The highest popularity rank from 2008:

  • Local (English): #84932 in April 2015
  • Global: #104649 in December 2014

There are 13 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Multi-objective optimization
80.7842
2Indonesian (id)
Optimisasi multiobjektif
73.1894
3German (de)
Mehrzieloptimierung
37.4494
4Ukrainian (uk)
Багатокритеріальна оптимізація
33.6745
5Russian (ru)
Многокритериальная оптимизация
31.6869
6Greek (el)
Βελτιστοποίηση με πολλαπλά κριτήρια
29.5771
7Serbian (sr)
Вишекритеријумска оптимизација
18.7097
8French (fr)
Optimisation multiobjectif
13.9178
9Spanish (es)
Optimización multiobjetivo
13.9061
10Czech (cs)
Vícekriteriální programování
13.2937
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Multi-objective optimization" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Multi-objective optimization
1 677 025
2German (de)
Mehrzieloptimierung
340 425
3Russian (ru)
Многокритериальная оптимизация
205 401
4Spanish (es)
Optimización multiobjetivo
96 062
5French (fr)
Optimisation multiobjectif
77 326
6Ukrainian (uk)
Багатокритеріальна оптимізація
35 510
7Arabic (ar)
أمثلة متعددة الأهداف
19 374
8Czech (cs)
Vícekriteriální programování
11 769
9Greek (el)
Βελτιστοποίηση με πολλαπλά κριτήρια
7 194
10Serbian (sr)
Вишекритеријумска оптимизација
6 753
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Multi-objective optimization" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Multi-objective optimization
6 827
2German (de)
Mehrzieloptimierung
493
3Russian (ru)
Многокритериальная оптимизация
481
4French (fr)
Optimisation multiobjectif
300
5Spanish (es)
Optimización multiobjetivo
187
6Ukrainian (uk)
Багатокритеріальна оптимізація
107
7Persian (fa)
بهینه‌سازی چندمنظوره
64
8Serbian (sr)
Вишекритеријумска оптимизација
46
9Czech (cs)
Vícekriteriální programování
36
10Arabic (ar)
أمثلة متعددة الأهداف
24
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Multi-objective optimization" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Multi-objective optimization
156
2German (de)
Mehrzieloptimierung
80
3French (fr)
Optimisation multiobjectif
35
4Russian (ru)
Многокритериальная оптимизация
15
5Czech (cs)
Vícekriteriální programování
14
6Ukrainian (uk)
Багатокритеріальна оптимізація
14
7Arabic (ar)
أمثلة متعددة الأهداف
9
8Serbian (sr)
Вишекритеријумска оптимизација
8
9Spanish (es)
Optimización multiobjetivo
7
10Persian (fa)
بهینه‌سازی چندمنظوره
6
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Multi-objective optimization" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Multi-objective optimization
4
2Serbian (sr)
Вишекритеријумска оптимизација
1
3Arabic (ar)
أمثلة متعددة الأهداف
0
4Czech (cs)
Vícekriteriální programování
0
5German (de)
Mehrzieloptimierung
0
6Greek (el)
Βελτιστοποίηση με πολλαπλά κριτήρια
0
7Spanish (es)
Optimización multiobjetivo
0
8Persian (fa)
بهینه‌سازی چندمنظوره
0
9French (fr)
Optimisation multiobjectif
0
10Indonesian (id)
Optimisasi multiobjektif
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Multi-objective optimization" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Multi-objective optimization
127
2German (de)
Mehrzieloptimierung
46
3Serbian (sr)
Вишекритеријумска оптимизација
40
4Ukrainian (uk)
Багатокритеріальна оптимізація
17
5Russian (ru)
Многокритериальная оптимизация
16
6Czech (cs)
Vícekriteriální programování
15
7Spanish (es)
Optimización multiobjetivo
12
8French (fr)
Optimisation multiobjectif
11
9Indonesian (id)
Optimisasi multiobjektif
9
10Arabic (ar)
أمثلة متعددة الأهداف
5
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
أمثلة متعددة الأهداف
csCzech
Vícekriteriální programování
deGerman
Mehrzieloptimierung
elGreek
Βελτιστοποίηση με πολλαπλά κριτήρια
enEnglish
Multi-objective optimization
esSpanish
Optimización multiobjetivo
faPersian
بهینه‌سازی چندمنظوره
frFrench
Optimisation multiobjectif
idIndonesian
Optimisasi multiobjektif
ruRussian
Многокритериальная оптимизация
srSerbian
Вишекритеријумска оптимизација
svSwedish
Flermålsoptimering
ukUkrainian
Багатокритеріальна оптимізація

Popularity rank trends

Best Rank English:
#84932
04.2015
Global:
#104649
12.2014

AI rank trends

Best Rank English:
#21345
04.2014
Global:
#29375
01.2024

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Multi-objective optimization from Wikipedia articles about Pareto efficiency, Pareto frontier, Mathematical optimization, Subsidiarity and Bayesian optimization. Whereas reading the article about Multi-objective optimization people most often go to Wikipedia articles on Pareto efficiency, Multiple-criteria decision analysis, Pareto frontier, Vector optimization and Multi-task learning.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 12 August 2025

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information