Fuzzy harmonic mean technique for solving fully fuzzy multilevel multiobjective linear programming problems
•A fully fuzzy multilevel multiobjective linear programming problem is developed.•A new methodology based on the fuzzy harmonic mean technique is introduced.•It is applied to the multilevel multiobjective production planning model for a supply chain under a fully fuzzy environment. This paper illust...
Uloženo v:
| Vydáno v: | Alexandria engineering journal Ročník 61; číslo 10; s. 8189 - 8205 |
|---|---|
| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier B.V
01.10.2022
Elsevier |
| Témata: | |
| ISSN: | 1110-0168 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | •A fully fuzzy multilevel multiobjective linear programming problem is developed.•A new methodology based on the fuzzy harmonic mean technique is introduced.•It is applied to the multilevel multiobjective production planning model for a supply chain under a fully fuzzy environment.
This paper illustrates how the fuzzy harmonic mean technique can efficiently solve fully fuzzy multilevel multiobjective linear programming (FFMMLP) problems. First, at each level, the FFMMLP problem can be converted into three crisp multiobjective linear programming (CMLP) problems using the crisp linear technique. Then, the fuzzy harmonic mean technique is utilized to aggregate each crisp problem's multiobjective into a single objective. Second, the ensuing final, single-objective problem is constructed using the harmonic mean for each level. Finally, it is solved to obtain a fuzzy compromise solution for the FFMMLP problem in general. Two examples are given to obtain the application of the proposed method. One example is applying the proposed approach to a multilevel multiobjective production planning model for a supply chain under a fully fuzzy environment. |
|---|---|
| AbstractList | This paper illustrates how the fuzzy harmonic mean technique can efficiently solve fully fuzzy multilevel multiobjective linear programming (FFMMLP) problems. First, at each level, the FFMMLP problem can be converted into three crisp multiobjective linear programming (CMLP) problems using the crisp linear technique. Then, the fuzzy harmonic mean technique is utilized to aggregate each crisp problem's multiobjective into a single objective. Second, the ensuing final, single-objective problem is constructed using the harmonic mean for each level. Finally, it is solved to obtain a fuzzy compromise solution for the FFMMLP problem in general. Two examples are given to obtain the application of the proposed method. One example is applying the proposed approach to a multilevel multiobjective production planning model for a supply chain under a fully fuzzy environment. •A fully fuzzy multilevel multiobjective linear programming problem is developed.•A new methodology based on the fuzzy harmonic mean technique is introduced.•It is applied to the multilevel multiobjective production planning model for a supply chain under a fully fuzzy environment. This paper illustrates how the fuzzy harmonic mean technique can efficiently solve fully fuzzy multilevel multiobjective linear programming (FFMMLP) problems. First, at each level, the FFMMLP problem can be converted into three crisp multiobjective linear programming (CMLP) problems using the crisp linear technique. Then, the fuzzy harmonic mean technique is utilized to aggregate each crisp problem's multiobjective into a single objective. Second, the ensuing final, single-objective problem is constructed using the harmonic mean for each level. Finally, it is solved to obtain a fuzzy compromise solution for the FFMMLP problem in general. Two examples are given to obtain the application of the proposed method. One example is applying the proposed approach to a multilevel multiobjective production planning model for a supply chain under a fully fuzzy environment. |
| Author | Hassanien, A.E. Fathy, E. |
| Author_xml | – sequence: 1 givenname: E. surname: Fathy fullname: Fathy, E. email: eman.fathy@science.helwan.edu.eg organization: Department of Mathematics, Helwan University, Faculty of Science, Cairo, Egypt – sequence: 2 givenname: A.E. surname: Hassanien fullname: Hassanien, A.E. email: aboitcairo@fci-cu.edu.eg organization: Cairo University, Faculty of Computers and Artificial Intelligence, Cairo, Egypt |
| BookMark | eNotkM1O5DAMx3MACZblAfbWF5hiJ5l2RpwQ4ktC2styjpzUGdJNGzbtjDQ8PSmzPtiWP_6yfz_E2ZhGFuIXQo2AzU1fE_e1BClrwBoknolLRIRVaW4uxPU09VBs3W71trkUfx_3n5_H6p3ykMbgqoFprGZ272P4t-fKp1xNKR7CuKv8PsZj8cv8sI9ziHzgeEqT7dnN4cBVDCNTrj5y2mUahmWx5DbyMP0U557ixNf_45V4e3z4c_-8ev399HJ_97rqFDbzqrPUgkdkdGt2W2birdLcUccWlG5b3YGyTbsm0pIkWwnKI8nWydYDgroSLyfdLlFvPnIYKB9NomC-CynvDOU5uMgGQCpS4K30oDdSW6-0tY3jzRpbzYvW7UmLy8GHwNlMLvDouAu5fFwUg0EwC3rTm4LeLOgNoCno1Rc7An-d |
| ContentType | Journal Article |
| Copyright | 2022 THE AUTHORS |
| Copyright_xml | – notice: 2022 THE AUTHORS |
| DBID | 6I. AAFTH DOA |
| DOI | 10.1016/j.aej.2022.01.021 |
| DatabaseName | ScienceDirect Open Access Titles Elsevier:ScienceDirect:Open Access DOAJ Directory of Open Access Journals |
| DatabaseTitleList | |
| Database_xml | – sequence: 1 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EndPage | 8205 |
| ExternalDocumentID | oai_doaj_org_article_0023a30fb2f04824bf34bb6ce85174e0 S1110016822000230 |
| GroupedDBID | --K 0R~ 0SF 4.4 457 5VS 6I. AACTN AAEDT AAEDW AAFTH AAIKJ AALRI AAXUO ABMAC ACGFS ADBBV ADEZE AEXQZ AFTJW AGHFR AITUG ALMA_UNASSIGNED_HOLDINGS AMRAJ BCNDV EBS EJD FDB GROUPED_DOAJ HZ~ IPNFZ IXB KQ8 M41 NCXOZ O-L O9- OK1 P2P RIG ROL SES SSZ XH2 AAYWO ACVFH ADCNI ADVLN AEUPX AFJKZ AFPUW AIGII AKBMS AKRWK AKYEP |
| ID | FETCH-LOGICAL-d316t-dba70f11e1c5ec9eeae934edadeb034774d03b675aa42a2eb203f1a27c27f0103 |
| IEDL.DBID | DOA |
| ISICitedReferencesCount | 9 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000806182700007&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1110-0168 |
| IngestDate | Fri Oct 03 12:33:10 EDT 2025 Wed May 17 01:08:42 EDT 2023 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 10 |
| Keywords | Fully Fuzzy Linear Programming Harmonic Mean Technique Multilevel Linear Programming Multiobjective Linear Programming |
| Language | English |
| License | This is an open access article under the CC BY-NC-ND license. |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-d316t-dba70f11e1c5ec9eeae934edadeb034774d03b675aa42a2eb203f1a27c27f0103 |
| OpenAccessLink | https://doaj.org/article/0023a30fb2f04824bf34bb6ce85174e0 |
| PageCount | 17 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_0023a30fb2f04824bf34bb6ce85174e0 elsevier_sciencedirect_doi_10_1016_j_aej_2022_01_021 |
| PublicationCentury | 2000 |
| PublicationDate | October 2022 2022-10-01 |
| PublicationDateYYYYMMDD | 2022-10-01 |
| PublicationDate_xml | – month: 10 year: 2022 text: October 2022 |
| PublicationDecade | 2020 |
| PublicationTitle | Alexandria engineering journal |
| PublicationYear | 2022 |
| Publisher | Elsevier B.V Elsevier |
| Publisher_xml | – name: Elsevier B.V – name: Elsevier |
| References | Kouchakinejad, Mashinchi, Khorram (b0080) 2017; 24 Mahmoudi, Feylizadeh, Darvishi, Liu (b0100) 2018; 8 Abou-El-Enien, El-Feky (b0010) 2018; 8 Nasseri, Behmanesh (b0110) 2013; 3 Gr (b0155) 2015; 3 Emam, Fathy, Helmy (b0045) 2017; 23 Sohag, Asadujjaman (b0135) 2018; 4 Subasri, Selvakumari (b0140) 2018; 13 Dhurai (b0040) 2016; 9 Pei (b0125) 2017; 9 Z. Zhang, G. Zhang, J. Lu, C. Guo, A fuzzy tri-level decision making algorithm and its application in supply chain, in: Proc. 8th Conf. Eur. Soc. Fuzzy Log. Technol. (EUSFLAT), Milan, Italy. (2013) 154–160. Zhang, Ma, Chen (b0170) 2014; 2014 Akhtar, Modi (b0015) 2017; 5 Abdalhakim, Emam, Abd El-mageed (b0005) 2018; 27 Towfik, Jawad (b0150) 2010; 6 Sulaiman, Mustafa (b0145) 2016; 6 Arana-Jimenez (b0020) 2018; 41 Das (b0035) 2017; 6 Kaufmann, Gupta (b0075) 1985 Xu (b0165) 2009; 24 Jayalakshmi, Pandian (b0070) 2012; 2 Lu, Han, Hu, Zhang (b0095) 2016; 346–347 Bharati, Abhishekh (b0025) 2017; 6 Muruganandam, Ambika (b0105) 2017; 13 Han, Zhang, Hu, Lu (b0060) 2016; 370-371 Han, Lu, Zhang (b0065) 2017; 421 Pramy (b0130) 2018; 3 Katsigiannis, Zografos, Fairbrother (b0185) 2021; 124 Hamadameen, Hassan (b0055) 2018; 6 Wan (b0160) 2011; 40 Zhang, Guo, Liu, Wang, Engel, Guo (b0190) 2020; 182 Sen (b0030) 1983; 30 Osman, Emam, El Sayed (b0115) 2017; 6 Zimmermann (b0180) 1978; 1 Osman, Emam, El Sayed (b0120) 2018; 4 Lai (b0085) 1996; 77 Lee, Chiu, Yeh, Huang (b0090) 2012; 226 Fathy (b0050) 2019; 37 |
| References_xml | – volume: 6 start-page: 43696 year: 2018 end-page: 43711 ident: b0055 article-title: Compromise solution for the fully fuzzy multiobjective linear programming problems publication-title: IEEE Access. – volume: 13 start-page: 285 year: 2018 end-page: 291 ident: b0140 article-title: Solving neutrosophic traveling salesman problem in triangular fuzzy number using ones assignment method publication-title: Eurasian J. Anal. Chem. – volume: 2014 start-page: 1 year: 2014 end-page: 7 ident: b0170 article-title: New similarity of triangular fuzzy number and its application publication-title: Sci. World J. – volume: 346–347 start-page: 463 year: 2016 end-page: 487 ident: b0095 article-title: Multilevel decision-making: A survey publication-title: Inf. Sci. – volume: 5 start-page: 1 year: 2017 end-page: 5 ident: b0015 article-title: An approach for solving multiobjective linear fractional programming problem and its comparison with other techniques publication-title: Int. J. Sci. Innov. Math. Res. – year: 1985 ident: b0075 article-title: Introduction to Fuzzy Arithmetic: Theory and Applications – volume: 30 start-page: 91 year: 1983 end-page: 96 ident: b0030 article-title: A new approach for multiobjective rural development planning, The Indian publication-title: Econ. J. – volume: 226 start-page: 2064 year: 2012 end-page: 2074 ident: b0090 article-title: Application of a fuzzy multilevel multiobjective production planning model in a network product manufacturing supply chain publication-title: Proc. Institut. Mech. Engineers, Part B: J. Eng. Manuf. – volume: 77 start-page: 321 year: 1996 end-page: 335 ident: b0085 article-title: Hierarchical optimization: a satisfactory solution publication-title: Fuzzy Sets Syst. – volume: 6 start-page: 293 year: 2017 end-page: 311 ident: b0035 article-title: Modified method for solving fully fuzzy linear programming problem with triangular fuzzy numbers publication-title: Int. J. Res. Ind. Eng. – volume: 370-371 start-page: 519 year: 2016 end-page: 537 ident: b0060 article-title: A solution to bi/tri-level programming problems using particle swarm optimization publication-title: Inf. Sci. – volume: 182 start-page: 102848 year: 2020 ident: b0190 article-title: Towards sustainable water management in an arid agricultural region: A multi-level multi-objective stochastic approach publication-title: Agric. Syst. – volume: 124 start-page: 102914 year: 2021 ident: b0185 article-title: Modelling and solving the airport slot-scheduling problem with multi-objective, multi-level considerations publication-title: Transp. Res. Part C: Emerg. Technol. – volume: 3 start-page: 295 year: 2013 end-page: 315 ident: b0110 article-title: Linear programming with triangular fuzzy numbers- A case study in a Finance and credit institute publication-title: Fuzzy Inf. Eng. – volume: 27 start-page: 1 year: 2018 end-page: 21 ident: b0005 article-title: A computational model for multilevel quadratically constrained quadratic optimization under fully fuzzy environment publication-title: J. Adv. Math. Comput. Sci. – volume: 8 start-page: 1 year: 2018 end-page: 14 ident: b0010 article-title: Compromise solution for fuzzy multilevel multiple objective decision making problems publication-title: Am. J. Comput. Appl. Math. – volume: 8 start-page: 312 year: 2018 end-page: 327 ident: b0100 article-title: Gray-fuzzy solution for multiobjective linear programming with interval coefficients publication-title: Grey Syst.: Theory Appl. – volume: 23 start-page: 1 year: 2017 end-page: 19 ident: b0045 article-title: An interactive model for fully fuzzy multilevel linear programming problem based on multiobjective linear programming technique publication-title: J. Adv. Math. Comput. Sci. – volume: 4 start-page: 25 year: 2018 end-page: 33 ident: b0135 article-title: A proposed new average method for solving multiobjective linear programming problem using various kinds of mean techniques publication-title: Math. Lett. – volume: 2 start-page: 247 year: 2012 end-page: 254 ident: b0070 article-title: A new method for finding an optimal fuzzy solution for fully fuzzy linear programming problems publication-title: Int. J. Eng. Res. Appl. (IJERA) – volume: 3 start-page: 146 year: 2015 end-page: 150 ident: b0155 article-title: Voskoglou, Use of the triangular fuzzy numbers for student assessment publication-title: Am. J. Appl. Math. Stat. – volume: 4 start-page: 1 year: 2018 end-page: 24 ident: b0120 article-title: Solving multilevel multiobjective fractional programming problems with fuzzy demands via FGP approach publication-title: Int. J. Appl. Comput. Math. – volume: 24 start-page: 1561 year: 2017 end-page: 1570 ident: b0080 article-title: Fuzzy multiobjective optimization of linear functions subject to max-arithmetic mean rational inequality constraints publication-title: Sci. Iran. Trans. E: Ind. Eng. – volume: 3 start-page: 280 year: 2018 end-page: 293 ident: b0130 article-title: An approach for solving fuzzy multiobjective linear fractional programming problems publication-title: Int. J. Math. Eng. Manag. Sci. – volume: 24 start-page: 152 year: 2009 end-page: 172 ident: b0165 article-title: Fuzzy harmonic mean publication-title: Int. J. Intell. Syst. – volume: 41 start-page: 7421 year: 2018 end-page: 7430 ident: b0020 article-title: Nondominated solutions in a fully fuzzy linear programming problem publication-title: Math. Methods Appl. Sci. – volume: 9 start-page: 77 year: 2017 end-page: 84 ident: b0125 article-title: Applying transformation characteristics to solve the multi objective linear fractional programming problems publication-title: Int. J. Comput. Sci. Inf. Technol. – volume: 37 start-page: 2727 year: 2019 end-page: 2739 ident: b0050 article-title: A modified fuzzy approach for the fully fuzzy multiobjective and multilevel integer quadratic programming problems based on a decomposition technique publication-title: J. Intell. Fuzzy Syst. – volume: 6 start-page: 549 year: 2017 end-page: 566 ident: b0115 article-title: Interactive approach for multilevel multiobjective fractional programming problems under hybrid uncertainty publication-title: J. Stat. Appl. Probab. – volume: 6 start-page: 25 year: 2016 end-page: 30 ident: b0145 article-title: Using harmonic mean to solve multiobjective linear programming problems publication-title: Am. J. Oper. Res. – volume: 6 start-page: 89 year: 2010 end-page: 96 ident: b0150 article-title: Proposed method for optimizing fuzzy linear programming problems by using two-phase technique publication-title: Iraq J. Electr. Electron. Eng. – volume: 1 start-page: 45 year: 1978 end-page: 55 ident: b0180 article-title: Fuzzy programming and linear programming with several objective functions publication-title: Fuzzy Sets Syst. – volume: 40 start-page: 589 year: 2011 end-page: 599 ident: b0160 article-title: Applying triangular fuzzy number for multisensor object recognition publication-title: Kybern. – reference: Z. Zhang, G. Zhang, J. Lu, C. Guo, A fuzzy tri-level decision making algorithm and its application in supply chain, in: Proc. 8th Conf. Eur. Soc. Fuzzy Log. Technol. (EUSFLAT), Milan, Italy. (2013) 154–160. – volume: 421 start-page: 85 year: 2017 end-page: 103 ident: b0065 article-title: Tri-level decision- making for decentralized vendor-managed inventory publication-title: Inf. Sci. – volume: 6 start-page: 1384 year: 2017 end-page: 1391 ident: b0025 article-title: A computational algorithm for the solution of fully fuzzy multiobjective linear programming problem publication-title: Int. J. Dyn. Control. – volume: 9 start-page: 41 year: 2016 end-page: 46 ident: b0040 article-title: Karpagam, A new pivotal operation on triangular fuzzy number for solving fully fuzzy linear programming problems publication-title: Int. J. Appl. Math. Sci. – volume: 13 start-page: 7321 year: 2017 end-page: 7329 ident: b0105 article-title: Harmonic mean technique to solve multi objective fuzzy linear fractional programming problems publication-title: Glob. J. Pure Appl. Math. |
| SSID | ssj0000579496 |
| Score | 2.3074212 |
| Snippet | •A fully fuzzy multilevel multiobjective linear programming problem is developed.•A new methodology based on the fuzzy harmonic mean technique is... This paper illustrates how the fuzzy harmonic mean technique can efficiently solve fully fuzzy multilevel multiobjective linear programming (FFMMLP) problems.... |
| SourceID | doaj elsevier |
| SourceType | Open Website Publisher |
| StartPage | 8189 |
| SubjectTerms | Fully Fuzzy Linear Programming Harmonic Mean Technique Multilevel Linear Programming Multiobjective Linear Programming |
| Title | Fuzzy harmonic mean technique for solving fully fuzzy multilevel multiobjective linear programming problems |
| URI | https://dx.doi.org/10.1016/j.aej.2022.01.021 https://doaj.org/article/0023a30fb2f04824bf34bb6ce85174e0 |
| Volume | 61 |
| WOSCitedRecordID | wos000806182700007&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVAON databaseName: DOAJ Directory of Open Access Journals issn: 1110-0168 databaseCode: DOA dateStart: 20100101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.doaj.org/ omitProxy: false ssIdentifier: ssj0000579496 providerName: Directory of Open Access Journals |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV07T8MwELZQxQAD4ine8sAayY5D7IyAqJgqBpC6WXZ8llpoi_pAan89d3GKsrGwRFGUONHdxXfnfPk-xu5wioumDjKLLqiMKM0zLOohU76oS-eM9iY2YhN6MDDDYfXakfoiTFiiB06Go9-1lVMi-jxisOWFj6rwviS1TSymoenWha46zVRi9cY4a8S58F0m5FVptp80G3CXgzH2hnmeKDtlS9jfSUidJNM_ZAdtdcgf0lMdsR2YHrP9DmfgCfvorzabNSfGaWK15RNwU_7LxMqxBuUYTrRMwGlpfY1bOr8BDn4SQijtzvw4TXWc6kw35y1Qa0IXtiozi1P23n9-e3rJWsWELChZLrPgnRZRSpD1PdQVgINKFRBcAC9UgaVeEMpjj-Bckbscu2qhonS5rnMdSfHhjPWmsymcM47TXnAGDEQdiypqD0IEU0uIxBBTmQv2SCazX4kUwxJNdXMAnWdb59m_nHfBiq3BbZvxUybHoUZ2C0AbW3SXJXdZIS266_I_7n3F9mjIBMy7Zr3lfAU3bLf-Xo4W89smnH4ATezRvg |
| linkProvider | Directory of Open Access Journals |
| 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=Fuzzy+harmonic+mean+technique+for+solving+fully+fuzzy+multilevel+multiobjective+linear+programming+problems&rft.jtitle=Alexandria+engineering+journal&rft.au=E.+Fathy&rft.au=A.E.+Hassanien&rft.date=2022-10-01&rft.pub=Elsevier&rft.issn=1110-0168&rft.volume=61&rft.issue=10&rft.spage=8189&rft.epage=8205&rft_id=info:doi/10.1016%2Fj.aej.2022.01.021&rft.externalDBID=DOA&rft.externalDocID=oai_doaj_org_article_0023a30fb2f04824bf34bb6ce85174e0 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1110-0168&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1110-0168&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1110-0168&client=summon |