Class information for:
Level 1: VECTOR OPTIMIZATION//SET VALUED OPTIMIZATION//SET OPTIMIZATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8188 1282 19.6 43%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
446 3       MATHEMATICS, APPLIED//JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//GLOBAL CONVERGENCE 26149
114 2             MATHEMATICS, APPLIED//JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//GLOBAL CONVERGENCE 25008
8188 1                   VECTOR OPTIMIZATION//SET VALUED OPTIMIZATION//SET OPTIMIZATION 1282

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 VECTOR OPTIMIZATION authKW 2970944 17% 58% 216
2 SET VALUED OPTIMIZATION authKW 1288518 5% 78% 69
3 SET OPTIMIZATION authKW 810434 3% 97% 35
4 SCALARIZATION authKW 698709 5% 44% 67
5 SET VALUED MAP authKW 541065 6% 31% 74
6 IMAGE SPACE ANALYSIS authKW 496177 2% 83% 25
7 PROPER EFFICIENCY authKW 435482 2% 57% 32
8 EPSILON EFFICIENCY authKW 429893 1% 95% 19
9 EKELANDS VARIATIONAL PRINCIPLE authKW 402435 4% 33% 52
10 CONTINGENT EPIDERIVATIVE authKW 335500 1% 78% 18

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Operations Research & Management Science 53908 46% 0% 594
2 Mathematics, Applied 49359 77% 0% 985
3 Mathematics 8719 36% 0% 463
4 Computer Science, Cybernetics 320 2% 0% 20
5 Computer Science, Software Engineering 82 2% 0% 30
6 Automation & Control Systems 46 2% 0% 21
7 Social Sciences, Mathematical Methods 42 1% 0% 11
8 Mathematics, Interdisciplinary Applications 29 2% 0% 20
9 Engineering, General 5 1% 0% 13
10 Economics 1 1% 0% 17

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 A MYLLER MATH SEMINAR 107173 0% 75% 6
2 MATEMAT FUNDAMENTALES 47981 1% 13% 16
3 LACO MATH 47634 0% 100% 2
4 EDIFICIO TECNOL INFORMAC TELECOMUNICAC 42868 0% 60% 3
5 UP SA 6090 35722 0% 50% 3
6 ETSI IND 34323 3% 4% 37
7 CHONGQING OPERAT SYST ENGN 31755 0% 67% 2
8 CONTROL GEST 31755 0% 67% 2
9 TECHNOL LANGUAGES 31755 0% 67% 2
10 MATH SCI CHONGQING 31751 0% 33% 4

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 315940 20% 5% 259
2 LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS 70432 6% 4% 74
3 JOURNAL OF GLOBAL OPTIMIZATION 38680 5% 3% 60
4 MATHEMATICAL METHODS OF OPERATIONS RESEARCH 35686 3% 4% 39
5 OPTIMIZATION 15797 1% 5% 14
6 OPTIMIZATION LETTERS 15555 2% 3% 25
7 JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 15339 2% 3% 23
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 14891 9% 1% 115
9 TAIWANESE JOURNAL OF MATHEMATICS 9370 2% 2% 26
10 SET-VALUED AND VARIATIONAL ANALYSIS 9321 1% 4% 10

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 VECTOR OPTIMIZATION 2970944 17% 58% 216 Search VECTOR+OPTIMIZATION Search VECTOR+OPTIMIZATION
2 SET VALUED OPTIMIZATION 1288518 5% 78% 69 Search SET+VALUED+OPTIMIZATION Search SET+VALUED+OPTIMIZATION
3 SET OPTIMIZATION 810434 3% 97% 35 Search SET+OPTIMIZATION Search SET+OPTIMIZATION
4 SCALARIZATION 698709 5% 44% 67 Search SCALARIZATION Search SCALARIZATION
5 SET VALUED MAP 541065 6% 31% 74 Search SET+VALUED+MAP Search SET+VALUED+MAP
6 IMAGE SPACE ANALYSIS 496177 2% 83% 25 Search IMAGE+SPACE+ANALYSIS Search IMAGE+SPACE+ANALYSIS
7 PROPER EFFICIENCY 435482 2% 57% 32 Search PROPER+EFFICIENCY Search PROPER+EFFICIENCY
8 EPSILON EFFICIENCY 429893 1% 95% 19 Search EPSILON+EFFICIENCY Search EPSILON+EFFICIENCY
9 EKELANDS VARIATIONAL PRINCIPLE 402435 4% 33% 52 Search EKELANDS+VARIATIONAL+PRINCIPLE Search EKELANDS+VARIATIONAL+PRINCIPLE
10 CONTINGENT EPIDERIVATIVE 335500 1% 78% 18 Search CONTINGENT+EPIDERIVATIVE Search CONTINGENT+EPIDERIVATIVE

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 QIU, JH , (2014) A PRE-ORDER PRINCIPLE AND SET-VALUED EKELAND VARIATIONAL PRINCIPLE.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 419. ISSUE 2. P. 904 -937 35 97% 3
2 QIU, JH , (2017) AN EQUILIBRIUM VERSION OF SET-VALUED EKELAND VARIATIONAL PRINCIPLE AND ITS APPLICATIONS TO SET-VALUED VECTOR EQUILIBRIUM PROBLEMS.ACTA MATHEMATICA SINICA-ENGLISH SERIES. VOL. 33. ISSUE 2. P. 210 -234 35 88% 0
3 JIA, JH , LI, ZF , (2008) EPSILON-CONJUGATE MAPS AND EPSILON-CONJUGATE DUALITY IN VECTOR OPTIMIZATION WITH SET-VALUED MAPS.OPTIMIZATION. VOL. 57. ISSUE 5. P. 621 -633 37 100% 6
4 ZHAO, KQ , CHEN, GY , YANG, XM , (2015) APPROXIMATE PROPER EFFICIENCY IN VECTOR OPTIMIZATION.OPTIMIZATION. VOL. 64. ISSUE 8. P. 1777 -1793 30 97% 1
5 QIU, JH , (2016) AN EQUILIBRIUM VERSION OF VECTORIAL EKELAND VARIATIONAL PRINCIPLE AND ITS APPLICATIONS TO EQUILIBRIUM PROBLEMS.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 27. ISSUE . P. 26 -42 25 96% 2
6 GAO, Y , YANG, XM , YANG, J , YAN, H , (2015) SCALARIZATIONS AND LAGRANGE MULTIPLIERS FOR APPROXIMATE SOLUTIONS IN THE VECTOR OPTIMIZATION PROBLEMS WITH SET-VALUED MAPS.JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION. VOL. 11. ISSUE 2. P. 673 -683 27 100% 2
7 QIU, JH , HE, F , (2013) A GENERAL VECTORIAL EKELAND'S VARIATIONAL PRINCIPLE WITH A P-DISTANCE.ACTA MATHEMATICA SINICA-ENGLISH SERIES. VOL. 29. ISSUE 9. P. 1655-1678 30 94% 4
8 GUTIERREZ, C , LOPEZ, R , NOVO, V , (2010) GENERALIZED EPSILON-QUASI-SOLUTIONS IN MULTIOBJECTIVE OPTIMIZATION PROBLEMS: EXISTENCE RESULTS AND OPTIMALITY CONDITIONS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 72. ISSUE 11. P. 4331 -4346 29 94% 12
9 XU, YD , LI, SJ , (2016) A NEW NONLINEAR SCALARIZATION FUNCTION AND APPLICATIONS.OPTIMIZATION. VOL. 65. ISSUE 1. P. 207 -231 30 81% 0
10 ANH, NLH , KHANH, PQ , (2013) VARIATIONAL SETS OF PERTURBATION MAPS AND APPLICATIONS TO SENSITIVITY ANALYSIS FOR CONSTRAINED VECTOR OPTIMIZATION.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 158. ISSUE 2. P. 363 -384 26 96% 3

Classes with closest relation at Level 1


Rank Class id link
1 3266 METRIC REGULARITY//CODERIVATIVE//SUBDIFFERENTIAL
2 2059 MINIMAX INEQUALITY//VECTOR VARIATIONAL INEQUALITY//VECTOR EQUILIBRIUM PROBLEM
3 6938 SYMMETRIC DUALITY//DUALITY THEOREMS//GENERALIZED CONVEXITY
4 10620 FITZPATRICK FUNCTION//ABSTRACT CONVEXITY//IRVING K BARBER
5 10275 INTERACTIVE METHODS//EFFICIENT SET//MULTIPLE OBJECTIVE PROGRAMMING
6 31909 HABITUAL DOMAINS//COMPETENCE SET//COMPETENCE SET ANALYSIS
7 16373 SEMI INFINITE PROGRAMMING//LINEAR INEQUALITY SYSTEMS//LINEAR SEMI INFINITE PROGRAMMING
8 473 FIXED POINT//COMMON FIXED POINT//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES
9 8178 SUPERLINEAR CONVERGENCE//NONLINEAR PROGRAMMING//GLOBAL CONVERGENCE
10 20220 BORNOLOGY//WIJSMAN TOPOLOGY//ATTOUCH WETS CONVERGENCE

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