Solving nonlinear optimization problems subjected to fuzzy relation equation constraints with max–average composition using a modified genetic algorithm
In this paper a nonlinear objective optimization model subject to a system of fuzzy relation equations with max–average composition are presented. When the set of solutions of fuzzy relation equations is not empty, it is in general a non-convex set and so the conventional nonlinear programming metho...
Saved in:
| Published in | Computers & industrial engineering Vol. 55; no. 1; pp. 1 - 14 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Elsevier Ltd
01.08.2008
Pergamon Press Inc |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0360-8352 1879-0550 |
| DOI | 10.1016/j.cie.2007.11.011 |
Cover
| Abstract | In this paper a nonlinear objective optimization model subject to a system of fuzzy relation equations with max–average composition are presented. When the set of solutions of fuzzy relation equations is not empty, it is in general a non-convex set and so the conventional nonlinear programming methods are not ideal for solving such a problem. In order to solve this problem, a modified genetic algorithm is reviewed and some of its components are changed to solve the problem. The construction of test problems is also developed to evaluate the performance of the proposed algorithm. |
|---|---|
| AbstractList | In this paper a nonlinear objective optimization model subject to a system of fuzzy relation equations with max-average composition are presented. When the set of solutions of fuzzy relation equations is not empty, it is in general a non-convex set and so the conventional nonlinear programming methods are not ideal for solving such a problem. In order to solve this problem, a modified genetic algorithm is reviewed and some of its components are changed to solve the problem. The construction of test problems is also developed to evaluate the performance of the proposed algorithm. [PUBLICATION ABSTRACT] In this paper a nonlinear objective optimization model subject to a system of fuzzy relation equations with max–average composition are presented. When the set of solutions of fuzzy relation equations is not empty, it is in general a non-convex set and so the conventional nonlinear programming methods are not ideal for solving such a problem. In order to solve this problem, a modified genetic algorithm is reviewed and some of its components are changed to solve the problem. The construction of test problems is also developed to evaluate the performance of the proposed algorithm. |
| Author | Khorram, Esmaile Hassanzadeh, Reza |
| Author_xml | – sequence: 1 givenname: Esmaile surname: Khorram fullname: Khorram, Esmaile email: eskhor@aut.ac.ir – sequence: 2 givenname: Reza surname: Hassanzadeh fullname: Hassanzadeh, Reza |
| BookMark | eNqFkc1u1DAUhS1UJKaFB2BnsWA34Xps50esUMWfVIkF3VuOczM4Suyp7Qx0VrwDuz5enwSnYdVFWdmyv3Ovzjnn5Mx5h4S8ZlAwYOW7oTAWix1AVTBWAGPPyIbVVbMFKeGMbICXsK253L0g5zEOACBkwzbk7rsfj9btaZ43Woc6UH9IdrInnax39BB8O-IUaZzbAU3CjiZP-_l0uqUBxxXCm3m9GO9iCtq6FOlPm37QSf-6__1HHzHoPebv6eCjfUDnuGzVdPKd7W0eu0eHyRqqx70PWTu9JM97PUZ89e-8INefPl5fftleffv89fLD1dbwukzbusRelKZtZcu7WvQopK5ZtsplpaUwIED00GAjOddVJXhb9QAdZ5r1wAW_IG_XsdnqzYwxqclGg-OoHfo5Ks5lU5Xy_yBbNoDYZfDNI3Dwc3DZg9oxXok695KhaoVM8DEG7JWx6SHFJcBRMVBLsWrI76iWYhVjKhebleyR8hDspMPtk5r3qwZzkEeLQcWMOIOdDblV1Xn7hPov_L_CNw |
| CODEN | CINDDL |
| CitedBy_id | crossref_primary_10_1186_s13660_016_1056_6 crossref_primary_10_1016_j_fss_2024_108944 crossref_primary_10_1109_ACCESS_2022_3197611 crossref_primary_10_1109_TFUZZ_2016_2598367 crossref_primary_10_1109_TFUZZ_2020_2991304 crossref_primary_10_1109_TFUZZ_2020_3029633 crossref_primary_10_1016_j_cie_2008_08_015 crossref_primary_10_1007_s40815_018_0530_3 crossref_primary_10_4018_jamc_2012040101 crossref_primary_10_1016_j_fss_2019_08_012 crossref_primary_10_1007_s12543_010_0040_y crossref_primary_10_3233_IFS_151546 crossref_primary_10_1016_j_asoc_2009_12_014 crossref_primary_10_1016_j_phpro_2012_05_276 crossref_primary_10_1142_S0218488515500348 crossref_primary_10_1016_j_fss_2021_08_007 crossref_primary_10_3233_IFS_141361 crossref_primary_10_1016_j_ins_2015_07_015 crossref_primary_10_1109_TFUZZ_2015_2428716 crossref_primary_10_1016_j_asoc_2012_03_002 crossref_primary_10_1016_j_ins_2016_04_014 crossref_primary_10_1016_j_cie_2020_106537 crossref_primary_10_1155_2019_4960638 crossref_primary_10_1016_j_ins_2011_09_030 crossref_primary_10_1109_ACCESS_2018_2878748 crossref_primary_10_1142_S0218488519500247 |
| Cites_doi | 10.1007/s00500-001-0157-3 10.1016/S0165-0114(98)00417-5 10.1002/mcda.4020040103 10.1016/0165-0114(82)90043-4 10.1016/S0165-0114(97)00184-X 10.1016/j.amc.2005.04.021 10.1016/0165-0114(91)90047-T 10.1016/0165-0114(88)90008-5 10.1016/j.fss.2005.02.010 10.1080/03081078208934846 10.1016/S0165-0114(96)00246-1 10.1023/A:1022848114005 10.1080/00207178108922539 10.1016/S0019-9958(76)90446-0 10.1016/S0165-0114(98)00471-0 10.1016/0165-0114(84)90026-5 10.1109/TFUZZ.2002.800657 10.1287/mnsc.17.4.B141 10.1016/S0165-0114(01)00052-5 10.1177/003754979406200405 10.1016/S0020-7373(76)80002-8 |
| ContentType | Journal Article |
| Copyright | 2007 Elsevier Ltd Copyright Pergamon Press Inc. Aug 2008 |
| Copyright_xml | – notice: 2007 Elsevier Ltd – notice: Copyright Pergamon Press Inc. Aug 2008 |
| DBID | AAYXX CITATION 7SC 8FD JQ2 L7M L~C L~D FR3 P64 RC3 |
| DOI | 10.1016/j.cie.2007.11.011 |
| DatabaseName | CrossRef Computer and Information Systems Abstracts Technology Research Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional Engineering Research Database Biotechnology and BioEngineering Abstracts Genetics Abstracts |
| DatabaseTitle | CrossRef Computer and Information Systems Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Advanced Technologies Database with Aerospace ProQuest Computer Science Collection Computer and Information Systems Abstracts Professional Genetics Abstracts Engineering Research Database Biotechnology and BioEngineering Abstracts |
| DatabaseTitleList | Computer and Information Systems Abstracts Computer and Information Systems Abstracts Genetics Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Engineering |
| EISSN | 1879-0550 |
| EndPage | 14 |
| ExternalDocumentID | 1494265711 10_1016_j_cie_2007_11_011 S0360835207002677 |
| Genre | Feature |
| GroupedDBID | --K --M -~X .DC .~1 0R~ 1B1 1RT 1~. 1~5 29F 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9JN 9JO AAAKG AABNK AACTN AAEDT AAEDW AAFWJ AAIKC AAIKJ AAKOC AALRI AAMNW AAOAW AAQFI AAQXK AARIN AATTM AAXKI AAXUO ABAOU ABDPE ABJNI ABMAC ABUCO ABWVN ABXDB ACDAQ ACGFO ACGFS ACNCT ACNNM ACRLP ACRPL ADBBV ADEZE ADGUI ADMUD ADNMO ADRHT ADTZH AEBSH AECPX AEIPS AEKER AENEX AFJKZ AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AIEXJ AIGVJ AIKHN AITUG AKRWK ALMA_UNASSIGNED_HOLDINGS AMRAJ ANKPU APLSM ARUGR ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BKOMP BLXMC BNPGV CS3 DU5 EBS EFJIC EJD EO8 EO9 EP2 EP3 FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HAMUX HLZ HVGLF HZ~ H~9 IHE J1W JJJVA KOM LX9 LY1 LY7 M41 MHUIS MO0 MS~ N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. PQQKQ Q38 R2- RIG RNS ROL RPZ RXW SBC SDF SDG SDP SDS SES SET SEW SPC SPCBC SSB SSD SSH SST SSW SSZ T5K TAE TN5 WUQ XPP ZMT ~G- AAYWO AAYXX ACLOT ACVFH ADCNI AEUPX AFPUW AGQPQ AIGII AIIUN AKBMS AKYEP APXCP CITATION EFKBS EFLBG ~HD 7SC 8FD AFXIZ AGCQF AGRNS JQ2 L7M L~C L~D FR3 P64 RC3 |
| ID | FETCH-LOGICAL-c386t-86ef46cbb5b3d84fe45a81835357a54c0404f09e9533a7743b7f00d31a1f0343 |
| IEDL.DBID | .~1 |
| ISSN | 0360-8352 |
| IngestDate | Sun Sep 28 08:09:22 EDT 2025 Sun Sep 28 07:12:14 EDT 2025 Fri Jul 25 06:40:23 EDT 2025 Wed Oct 01 00:49:23 EDT 2025 Thu Apr 24 23:09:59 EDT 2025 Sun Apr 06 06:54:01 EDT 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | Fuzzy relation equations Max–average composition Genetic algorithm Nonlinear optimization |
| Language | English |
| License | https://www.elsevier.com/tdm/userlicense/1.0 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c386t-86ef46cbb5b3d84fe45a81835357a54c0404f09e9533a7743b7f00d31a1f0343 |
| Notes | SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-1 ObjectType-Feature-2 content type line 23 ObjectType-Article-2 |
| PQID | 213748879 |
| PQPubID | 9545 |
| PageCount | 14 |
| ParticipantIDs | proquest_miscellaneous_33597654 proquest_miscellaneous_19533042 proquest_journals_213748879 crossref_citationtrail_10_1016_j_cie_2007_11_011 crossref_primary_10_1016_j_cie_2007_11_011 elsevier_sciencedirect_doi_10_1016_j_cie_2007_11_011 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2008-08-01 |
| PublicationDateYYYYMMDD | 2008-08-01 |
| PublicationDate_xml | – month: 08 year: 2008 text: 2008-08-01 day: 01 |
| PublicationDecade | 2000 |
| PublicationPlace | New York |
| PublicationPlace_xml | – name: New York |
| PublicationTitle | Computers & industrial engineering |
| PublicationYear | 2008 |
| Publisher | Elsevier Ltd Pergamon Press Inc |
| Publisher_xml | – name: Elsevier Ltd – name: Pergamon Press Inc |
| References | Pedrycz (bib23) 1981; 34 Hock, Schittkowski (bib11) 1981; Vol. 187 Loetamonphong, Fang, Young (bib18) 2002; 127 Yager (bib30) 1982; 8 Bellman, Zadeh (bib1) 1970; 17 Michalewicz (bib21) 1996 Nola, Di Sessa, Pedrycz, Sanchez (bib22) 1989 Fang, Li (bib6) 1999; 103 Guo, Wang, Nola, Sessa (bib8) 1988; 26 Joines, Houck (bib13) 1994; Vol. 2 Klir, Folger (bib15) 1988 Czogala, Drewniak, Pedrycz (bib4) 1982; 7 Wenstop (bib28) 1976; 8 Lu, Fang (bib19) 2001; 119 Pedrycz (bib24) 1991; 40 Zimmerman (bib31) 1991 Markovskii (bib20) 2005; 153 Wang (bib27) 1995; 4 Brouke, Fisher (bib2) 1998; 94 Guu, Wu (bib9) 2002 Lee, Guu (bib16) 2003; 2 Wu, Guu, Liu (bib29) 2002; 10 Fogel, D.B. (1992). Evolving artificial intelligence, Ph.D. Thesis, University of California. Homaifar, Lai, Qi (bib12) 1994; 62 Loetamonphong, Fang (bib17) 2001; 118 Sanchez (bib25) 1976; 30 Higashi, klir (bib10) 1984; 13 Sanchez (bib26) 1977 Khorram, Ghodousian (bib14) 2006; 173 Dubois, Prade (bib5) 1980 Chen, Wang (bib3) 2002; 6 Czogala (10.1016/j.cie.2007.11.011_bib4) 1982; 7 Pedrycz (10.1016/j.cie.2007.11.011_bib23) 1981; 34 Klir (10.1016/j.cie.2007.11.011_bib15) 1988 Zimmerman (10.1016/j.cie.2007.11.011_bib31) 1991 Homaifar (10.1016/j.cie.2007.11.011_bib12) 1994; 62 Sanchez (10.1016/j.cie.2007.11.011_bib26) 1977 10.1016/j.cie.2007.11.011_bib7 Loetamonphong (10.1016/j.cie.2007.11.011_bib18) 2002; 127 Brouke (10.1016/j.cie.2007.11.011_bib2) 1998; 94 Guu (10.1016/j.cie.2007.11.011_bib9) 2002 Sanchez (10.1016/j.cie.2007.11.011_bib25) 1976; 30 Loetamonphong (10.1016/j.cie.2007.11.011_bib17) 2001; 118 Yager (10.1016/j.cie.2007.11.011_bib30) 1982; 8 Pedrycz (10.1016/j.cie.2007.11.011_bib24) 1991; 40 Markovskii (10.1016/j.cie.2007.11.011_bib20) 2005; 153 Michalewicz (10.1016/j.cie.2007.11.011_bib21) 1996 Dubois (10.1016/j.cie.2007.11.011_bib5) 1980 Khorram (10.1016/j.cie.2007.11.011_bib14) 2006; 173 Lu (10.1016/j.cie.2007.11.011_bib19) 2001; 119 Nola (10.1016/j.cie.2007.11.011_bib22) 1989 Guo (10.1016/j.cie.2007.11.011_bib8) 1988; 26 Fang (10.1016/j.cie.2007.11.011_bib6) 1999; 103 Higashi (10.1016/j.cie.2007.11.011_bib10) 1984; 13 Lee (10.1016/j.cie.2007.11.011_bib16) 2003; 2 Chen (10.1016/j.cie.2007.11.011_bib3) 2002; 6 Joines (10.1016/j.cie.2007.11.011_bib13) 1994; Vol. 2 Bellman (10.1016/j.cie.2007.11.011_bib1) 1970; 17 Wenstop (10.1016/j.cie.2007.11.011_bib28) 1976; 8 Hock (10.1016/j.cie.2007.11.011_bib11) 1981; Vol. 187 Wang (10.1016/j.cie.2007.11.011_bib27) 1995; 4 Wu (10.1016/j.cie.2007.11.011_bib29) 2002; 10 |
| References_xml | – volume: 94 start-page: 61 year: 1998 end-page: 69 ident: bib2 article-title: Solution algorithms for fuzzy relation equations with max–product composition publication-title: Fuzzy Sets and System – volume: 26 start-page: 93 year: 1988 end-page: 104 ident: bib8 article-title: Further contributions to the study of finite fuzzy relation equations publication-title: Fuzzy Sets and Systems – start-page: 221 year: 1977 end-page: 234 ident: bib26 article-title: Solution in composite fuzzy relation equations: Application to medical diagnosis in Brouwerian logic publication-title: Fuzzy automata and decision processes – volume: 127 start-page: 141 year: 2002 end-page: 164 ident: bib18 article-title: Multi-objective optimization problems with fuzzy relation equation constraints publication-title: Fuzzy Sets and Systems – volume: 4 start-page: 23 year: 1995 end-page: 35 ident: bib27 article-title: A multiple-objective mathematical programming problem with fuzzy relation constraints publication-title: Journal of Multi-criteria Decision Analysis – volume: 8 start-page: 293 year: 1976 end-page: 311 ident: bib28 article-title: Deductive verbal models of organizations publication-title: International Journal of Man–Machine Studies – volume: 173 start-page: 872 year: 2006 end-page: 886 ident: bib14 article-title: Linear objective function optimization problems with fuzzy relation equation constraints regarding max–av composition publication-title: Applied Mathematics and Computation – volume: 2 start-page: 31 year: 2003 end-page: 39 ident: bib16 article-title: On the optimal three-tier multimedia streaming services publication-title: Fuzzy Optimization and Decision Making – year: 1991 ident: bib31 article-title: Fuzzy set theory and its application – volume: 153 start-page: 261 year: 2005 end-page: 273 ident: bib20 article-title: On the relation between equations with max–product composition and the covering problem publication-title: Fuzzy Sets and Systems – year: 1996 ident: bib21 article-title: Genetic Algorithms – volume: 62 start-page: 242 year: 1994 end-page: 254 ident: bib12 article-title: Constrained optimization via genetic algorithms publication-title: Simulation – volume: 119 start-page: 1 year: 2001 end-page: 20 ident: bib19 article-title: Solving nonlinear optimization problems with fuzzy relation equation constraints publication-title: Fuzzy Set and Systems – volume: Vol. 2 start-page: 579 year: 1994 end-page: 584 ident: bib13 article-title: On the use of non-stationary penalty function to Solve nonlinear constrained optimization problem with GAs publication-title: Proceeding of the first IEEE international conference on evolutionary computation – volume: 6 start-page: 428 year: 2002 end-page: 435 ident: bib3 article-title: Fuzzy relation equations (I): The general and specialized solving algorithms publication-title: Soft Computing – volume: 7 start-page: 89 year: 1982 end-page: 101 ident: bib4 article-title: Fuzzy relation equations on a finite set publication-title: Fuzzy Sets and Systems – volume: 10 start-page: 552 year: 2002 end-page: 558 ident: bib29 article-title: An accelerated approach for solving fuzzy relation equations with a linear objective function publication-title: IEEE Transactions on Fuzzy Systems – start-page: 121568 year: 2002 end-page: 124539 ident: bib9 article-title: Minimizing a linear objective function with fuzzy relation equation constraints publication-title: Fuzzy Optimization and Decision Making – reference: Fogel, D.B. (1992). Evolving artificial intelligence, Ph.D. Thesis, University of California. – volume: 13 start-page: 65 year: 1984 end-page: 82 ident: bib10 article-title: Resolution of finite fuzzy relation equations publication-title: Fuzzy Sets and Systems – volume: 40 start-page: 77 year: 1991 end-page: 106 ident: bib24 article-title: Proceeding in relational structures: Fuzzy relational equations publication-title: Fuzzy Sets and Systems – volume: Vol. 187 year: 1981 ident: bib11 article-title: Test examples for nonlinear programming codes publication-title: Lecture notes in economics and mathematical systems – volume: 30 start-page: 38 year: 1976 end-page: 48 ident: bib25 article-title: Resolution of composite fuzzy relation equations publication-title: Information and Control – volume: 17 start-page: 141 year: 1970 end-page: 164 ident: bib1 article-title: Decision-making in fuzzy environment publication-title: Management Science – volume: 8 start-page: 115 year: 1982 end-page: 124 ident: bib30 article-title: Some procedures for selecting fuzzy set—theoretic operations publication-title: International Journal of General Systems – volume: 118 start-page: 509 year: 2001 end-page: 517 ident: bib17 article-title: Optimization of fuzzy relation equations with max–product composition publication-title: Fuzzy Sets and Systems – year: 1980 ident: bib5 article-title: Fuzzy sets and systems: Theory and applications – volume: 34 start-page: 403 year: 1981 end-page: 421 ident: bib23 article-title: An approach to the analysis of fuzzy systems publication-title: International Journal of Control – year: 1989 ident: bib22 article-title: Fuzzy Relational Equations and Their Applications in Knowledge Engineering – year: 1988 ident: bib15 publication-title: Fuzzy sets – volume: 103 start-page: 107 year: 1999 end-page: 113 ident: bib6 article-title: Solving fuzzy relations equations with a linear objective function publication-title: Fuzzy Sets and Systems – volume: 6 start-page: 428 year: 2002 ident: 10.1016/j.cie.2007.11.011_bib3 article-title: Fuzzy relation equations (I): The general and specialized solving algorithms publication-title: Soft Computing doi: 10.1007/s00500-001-0157-3 – volume: 118 start-page: 509 year: 2001 ident: 10.1016/j.cie.2007.11.011_bib17 article-title: Optimization of fuzzy relation equations with max–product composition publication-title: Fuzzy Sets and Systems doi: 10.1016/S0165-0114(98)00417-5 – volume: 4 start-page: 23 year: 1995 ident: 10.1016/j.cie.2007.11.011_bib27 article-title: A multiple-objective mathematical programming problem with fuzzy relation constraints publication-title: Journal of Multi-criteria Decision Analysis doi: 10.1002/mcda.4020040103 – ident: 10.1016/j.cie.2007.11.011_bib7 – volume: 7 start-page: 89 year: 1982 ident: 10.1016/j.cie.2007.11.011_bib4 article-title: Fuzzy relation equations on a finite set publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(82)90043-4 – volume: 103 start-page: 107 year: 1999 ident: 10.1016/j.cie.2007.11.011_bib6 article-title: Solving fuzzy relations equations with a linear objective function publication-title: Fuzzy Sets and Systems doi: 10.1016/S0165-0114(97)00184-X – volume: 173 start-page: 872 year: 2006 ident: 10.1016/j.cie.2007.11.011_bib14 article-title: Linear objective function optimization problems with fuzzy relation equation constraints regarding max–av composition publication-title: Applied Mathematics and Computation doi: 10.1016/j.amc.2005.04.021 – start-page: 121568 year: 2002 ident: 10.1016/j.cie.2007.11.011_bib9 article-title: Minimizing a linear objective function with fuzzy relation equation constraints publication-title: Fuzzy Optimization and Decision Making – start-page: 221 year: 1977 ident: 10.1016/j.cie.2007.11.011_bib26 article-title: Solution in composite fuzzy relation equations: Application to medical diagnosis in Brouwerian logic – year: 1991 ident: 10.1016/j.cie.2007.11.011_bib31 – volume: 40 start-page: 77 year: 1991 ident: 10.1016/j.cie.2007.11.011_bib24 article-title: Proceeding in relational structures: Fuzzy relational equations publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(91)90047-T – year: 1989 ident: 10.1016/j.cie.2007.11.011_bib22 – year: 1988 ident: 10.1016/j.cie.2007.11.011_bib15 – year: 1996 ident: 10.1016/j.cie.2007.11.011_bib21 – volume: 26 start-page: 93 year: 1988 ident: 10.1016/j.cie.2007.11.011_bib8 article-title: Further contributions to the study of finite fuzzy relation equations publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(88)90008-5 – volume: 153 start-page: 261 year: 2005 ident: 10.1016/j.cie.2007.11.011_bib20 article-title: On the relation between equations with max–product composition and the covering problem publication-title: Fuzzy Sets and Systems doi: 10.1016/j.fss.2005.02.010 – volume: 8 start-page: 115 year: 1982 ident: 10.1016/j.cie.2007.11.011_bib30 article-title: Some procedures for selecting fuzzy set—theoretic operations publication-title: International Journal of General Systems doi: 10.1080/03081078208934846 – volume: 94 start-page: 61 year: 1998 ident: 10.1016/j.cie.2007.11.011_bib2 article-title: Solution algorithms for fuzzy relation equations with max–product composition publication-title: Fuzzy Sets and System doi: 10.1016/S0165-0114(96)00246-1 – volume: Vol. 187 year: 1981 ident: 10.1016/j.cie.2007.11.011_bib11 article-title: Test examples for nonlinear programming codes – volume: 2 start-page: 31 year: 2003 ident: 10.1016/j.cie.2007.11.011_bib16 article-title: On the optimal three-tier multimedia streaming services publication-title: Fuzzy Optimization and Decision Making doi: 10.1023/A:1022848114005 – volume: 34 start-page: 403 year: 1981 ident: 10.1016/j.cie.2007.11.011_bib23 article-title: An approach to the analysis of fuzzy systems publication-title: International Journal of Control doi: 10.1080/00207178108922539 – volume: 30 start-page: 38 year: 1976 ident: 10.1016/j.cie.2007.11.011_bib25 article-title: Resolution of composite fuzzy relation equations publication-title: Information and Control doi: 10.1016/S0019-9958(76)90446-0 – year: 1980 ident: 10.1016/j.cie.2007.11.011_bib5 – volume: Vol. 2 start-page: 579 year: 1994 ident: 10.1016/j.cie.2007.11.011_bib13 article-title: On the use of non-stationary penalty function to Solve nonlinear constrained optimization problem with GAs – volume: 119 start-page: 1 year: 2001 ident: 10.1016/j.cie.2007.11.011_bib19 article-title: Solving nonlinear optimization problems with fuzzy relation equation constraints publication-title: Fuzzy Set and Systems doi: 10.1016/S0165-0114(98)00471-0 – volume: 13 start-page: 65 year: 1984 ident: 10.1016/j.cie.2007.11.011_bib10 article-title: Resolution of finite fuzzy relation equations publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(84)90026-5 – volume: 10 start-page: 552 issue: 4 year: 2002 ident: 10.1016/j.cie.2007.11.011_bib29 article-title: An accelerated approach for solving fuzzy relation equations with a linear objective function publication-title: IEEE Transactions on Fuzzy Systems doi: 10.1109/TFUZZ.2002.800657 – volume: 17 start-page: 141 year: 1970 ident: 10.1016/j.cie.2007.11.011_bib1 article-title: Decision-making in fuzzy environment publication-title: Management Science doi: 10.1287/mnsc.17.4.B141 – volume: 127 start-page: 141 year: 2002 ident: 10.1016/j.cie.2007.11.011_bib18 article-title: Multi-objective optimization problems with fuzzy relation equation constraints publication-title: Fuzzy Sets and Systems doi: 10.1016/S0165-0114(01)00052-5 – volume: 62 start-page: 242 year: 1994 ident: 10.1016/j.cie.2007.11.011_bib12 article-title: Constrained optimization via genetic algorithms publication-title: Simulation doi: 10.1177/003754979406200405 – volume: 8 start-page: 293 year: 1976 ident: 10.1016/j.cie.2007.11.011_bib28 article-title: Deductive verbal models of organizations publication-title: International Journal of Man–Machine Studies doi: 10.1016/S0020-7373(76)80002-8 |
| SSID | ssj0004591 |
| Score | 2.0432687 |
| Snippet | In this paper a nonlinear objective optimization model subject to a system of fuzzy relation equations with max–average composition are presented. When the set... In this paper a nonlinear objective optimization model subject to a system of fuzzy relation equations with max-average composition are presented. When the set... |
| SourceID | proquest crossref elsevier |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 1 |
| SubjectTerms | Fuzzy logic Fuzzy relation equations Genetic algorithm Genetic algorithms Max–average composition Nonlinear optimization Optimization Studies |
| Title | Solving nonlinear optimization problems subjected to fuzzy relation equation constraints with max–average composition using a modified genetic algorithm |
| URI | https://dx.doi.org/10.1016/j.cie.2007.11.011 https://www.proquest.com/docview/213748879 https://www.proquest.com/docview/19533042 https://www.proquest.com/docview/33597654 |
| Volume | 55 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier ScienceDirect customDbUrl: eissn: 1879-0550 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0004591 issn: 0360-8352 databaseCode: .~1 dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier ScienceDirect Freedom Collection Journals customDbUrl: eissn: 1879-0550 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0004591 issn: 0360-8352 databaseCode: ACRLP dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals [SCFCJ] customDbUrl: eissn: 1879-0550 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0004591 issn: 0360-8352 databaseCode: AIKHN dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVLSH databaseName: Elsevier Journals customDbUrl: mediaType: online eissn: 1879-0550 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0004591 issn: 0360-8352 databaseCode: AKRWK dateStart: 19770101 isFulltext: true providerName: Library Specific Holdings |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LT9wwEB4huJQD5VWx5TWHniqlm2A72T0iBFpA5QKVuEVOYqOtdjfLJisBh6r_obf-PH4JM7GDoBIcek3syI7nZfubbwC-hH1TWG1lkFmrmpScQMdFEqiE-cmUTFx-xfeLePBDnl2r6wU4anNhGFbpbb-z6Y219k-6_m92p8Nh95JsbxM_kNByGSXOKGf2L5Lpb7-iF4zhrmoeNQ64dXuz2WC86LOOxZCJPKPoLd_0j5VuXM_JKqz4mBEP3bDWYMFM1uGjjx_Ra2e1DssvyAU34O9lOeLTApw4Ngw9w5Lsw9gnXqIvJVNhNc_4MIY-VZdo5w8P9zjzEDk0t44KHHOOI7mcRF0hn93iWN89_v6jSRPIIiEj0z38CxlKf4Max2UxtDxCklFOlUQ9uiln1He8CVcnx1dHg8BXYghy0YvroBcbK-M8y1Qmip60RipNnl4ooRKtZE6WQFpadsaqagooRZbYMCxEpCMbCik-wSLN1WwBkgkpCq5wrmUhaevTlzEFKH1j-4ZcqZYdCNslSHPPUs6zG6UtHO0nPTdcPTOh3UtKq9aBr89dpo6i473Gsl3X9JWcpeRC3uu23cpA6pW8Sg8i5u6huXRg__ktaSdfueiJKedVGjXoXXnwdgshaEsXK_n5_wa2DR8cgoUhiTuwWM_mZpfCpDrba_RgD5YOT88HF09_AhVe |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV09b9swED2kztB26Efaom7a5oZOBQRLISnZYxA0cJrES1wgG0FJZODAtlJLBpJM_Q_d-vP6S3onUkFaIBm6yqRAmrx3R-rdO4BP8ciWzjgZ5c6pNiUnMmmZRSpjfTIlM59fcTJJx9_k1zN1tgH7XS4M0yoD9ntMb9E6PBmEf3NwOZsNTgl72_iBNi2XUcoewaZUhMk92Nw7PBpP7oiG-8J51D7iDt3HzZbmRW_2Qoas5Zkk97mnf4C69T4HL-BZCBtxz4_sJWzY5RY8DyEkBgOtt-DpHX3BV_DrtJrzhQEuvSCGWWFFELEIuZcYqsnUWK9zvo-hVzUVuvXNzTWuAksO7XevBo4Fh5JcUaKpka9vcWGufv_4acgYCJSQyemBAYbMpj9Hg4uqnDkeIW1TzpZEMz-vVtR38RqmB1-m--MoFGOICjFMm2iYWifTIs9VLsqhdFYqQ85eKKEyo2RBYCAdrTzTVQ3FlCLPXByXIjGJi4UUb6BHc7VvAQlFypKLnBtZSjr9jGRKMcrIupElb2pkH-JuCXQRhMp5dnPdMdIu6LnlApoZHWA0rVofPt92ufQqHQ81lt266r-2miYv8lC37W4P6GDntd5NWL6H5tKHndtfyUD5q4tZ2mpd66Ql8Mrd-1sIQae6VMl3_zewHXg8np4c6-PDydE2PPGEFmYovodes1rbDxQ1NfnHYBV_ANRtGAk |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Solving+nonlinear+optimization+problems+subjected+to+fuzzy+relation+equation+constraints+with+max-average+composition+using+a+modified+genetic+algorithm&rft.jtitle=Computers+%26+industrial+engineering&rft.au=Khorram%2C+Esmaile&rft.au=Hassanzadeh%2C+Reza&rft.date=2008-08-01&rft.issn=0360-8352&rft.volume=55&rft.issue=1&rft.spage=1&rft.epage=14&rft_id=info:doi/10.1016%2Fj.cie.2007.11.011&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0360-8352&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0360-8352&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0360-8352&client=summon |