Eintrag weiter verarbeiten
Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables
Gespeichert in:
| Zeitschriftentitel: | Mathematics |
|---|---|
| Personen und Körperschaften: | |
| In: | Mathematics, 7, 2019, 7, S. 569 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
MDPI AG
|
| Schlagwörter: |
| author_facet |
Wu Wu |
|---|---|
| author |
Wu |
| spellingShingle |
Wu Mathematics Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables General Mathematics Engineering (miscellaneous) Computer Science (miscellaneous) |
| author_sort |
wu |
| spelling |
Wu 2227-7390 MDPI AG General Mathematics Engineering (miscellaneous) Computer Science (miscellaneous) http://dx.doi.org/10.3390/math7070569 <jats:p>The numerical method for solving the fuzzy linear programming problems with fuzzydecision variables is proposed in this paper. The difficulty for solving this kind of problem is thatthe decision variables are assumed to be nonnegative fuzzy numbers instead of nonnegative realnumbers. In other words, the decision variables are assumed to be membership functions. One of thepurposes of this paper is to derive the analytic formula of error estimation regarding the approximateoptimal solution. On the other hand, the existence of optimal solutions is also studied in this paper.Finally we present two numerical examples to demonstrate the usefulness of the numerical method.</jats:p> Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables Mathematics |
| doi_str_mv |
10.3390/math7070569 |
| facet_avail |
Online Free |
| finc_class_facet |
Technik Informatik |
| format |
ElectronicArticle |
| fullrecord |
blob:ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMzM5MC9tYXRoNzA3MDU2OQ |
| id |
ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMzM5MC9tYXRoNzA3MDU2OQ |
| institution |
DE-Zi4 DE-Gla1 DE-15 DE-Pl11 DE-Rs1 DE-14 DE-105 DE-Ch1 DE-L229 DE-D275 DE-Bn3 DE-Brt1 DE-Zwi2 DE-D161 |
| imprint |
MDPI AG, 2019 |
| imprint_str_mv |
MDPI AG, 2019 |
| issn |
2227-7390 |
| issn_str_mv |
2227-7390 |
| language |
English |
| mega_collection |
MDPI AG (CrossRef) |
| match_str |
2019solvingfuzzylinearprogrammingproblemswithfuzzydecisionvariables |
| publishDateSort |
2019 |
| publisher |
MDPI AG |
| recordtype |
ai |
| record_format |
ai |
| series |
Mathematics |
| source_id |
49 |
| title |
Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables |
| title_unstemmed |
Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables |
| title_full |
Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables |
| title_fullStr |
Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables |
| title_full_unstemmed |
Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables |
| title_short |
Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables |
| title_sort |
solving fuzzy linear programming problems with fuzzy decision variables |
| topic |
General Mathematics Engineering (miscellaneous) Computer Science (miscellaneous) |
| url |
http://dx.doi.org/10.3390/math7070569 |
| publishDate |
2019 |
| physical |
569 |
| description |
<jats:p>The numerical method for solving the fuzzy linear programming problems with fuzzydecision variables is proposed in this paper. The difficulty for solving this kind of problem is thatthe decision variables are assumed to be nonnegative fuzzy numbers instead of nonnegative realnumbers. In other words, the decision variables are assumed to be membership functions. One of thepurposes of this paper is to derive the analytic formula of error estimation regarding the approximateoptimal solution. On the other hand, the existence of optimal solutions is also studied in this paper.Finally we present two numerical examples to demonstrate the usefulness of the numerical method.</jats:p> |
| container_issue |
7 |
| container_start_page |
0 |
| container_title |
Mathematics |
| container_volume |
7 |
| format_de105 |
Article, E-Article |
| format_de14 |
Article, E-Article |
| format_de15 |
Article, E-Article |
| format_de520 |
Article, E-Article |
| format_de540 |
Article, E-Article |
| format_dech1 |
Article, E-Article |
| format_ded117 |
Article, E-Article |
| format_degla1 |
E-Article |
| format_del152 |
Buch |
| format_del189 |
Article, E-Article |
| format_dezi4 |
Article |
| format_dezwi2 |
Article, E-Article |
| format_finc |
Article, E-Article |
| format_nrw |
Article, E-Article |
| _version_ |
1792339899337146370 |
| geogr_code |
not assigned |
| last_indexed |
2024-03-01T15:55:27.858Z |
| geogr_code_person |
not assigned |
| openURL |
url_ver=Z39.88-2004&ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fvufind.svn.sourceforge.net%3Agenerator&rft.title=Solving+Fuzzy+Linear+Programming+Problems+with+Fuzzy+Decision+Variables&rft.date=2019-06-26&genre=article&issn=2227-7390&volume=7&issue=7&pages=569&jtitle=Mathematics&atitle=Solving+Fuzzy+Linear+Programming+Problems+with+Fuzzy+Decision+Variables&aulast=Wu&rft_id=info%3Adoi%2F10.3390%2Fmath7070569&rft.language%5B0%5D=eng |
| SOLR | |
| _version_ | 1792339899337146370 |
| author | Wu |
| author_facet | Wu, Wu |
| author_sort | wu |
| container_issue | 7 |
| container_start_page | 0 |
| container_title | Mathematics |
| container_volume | 7 |
| description | <jats:p>The numerical method for solving the fuzzy linear programming problems with fuzzydecision variables is proposed in this paper. The difficulty for solving this kind of problem is thatthe decision variables are assumed to be nonnegative fuzzy numbers instead of nonnegative realnumbers. In other words, the decision variables are assumed to be membership functions. One of thepurposes of this paper is to derive the analytic formula of error estimation regarding the approximateoptimal solution. On the other hand, the existence of optimal solutions is also studied in this paper.Finally we present two numerical examples to demonstrate the usefulness of the numerical method.</jats:p> |
| doi_str_mv | 10.3390/math7070569 |
| facet_avail | Online, Free |
| finc_class_facet | Technik, Informatik |
| format | ElectronicArticle |
| format_de105 | Article, E-Article |
| format_de14 | Article, E-Article |
| format_de15 | Article, E-Article |
| format_de520 | Article, E-Article |
| format_de540 | Article, E-Article |
| format_dech1 | Article, E-Article |
| format_ded117 | Article, E-Article |
| format_degla1 | E-Article |
| format_del152 | Buch |
| format_del189 | Article, E-Article |
| format_dezi4 | Article |
| format_dezwi2 | Article, E-Article |
| format_finc | Article, E-Article |
| format_nrw | Article, E-Article |
| geogr_code | not assigned |
| geogr_code_person | not assigned |
| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMzM5MC9tYXRoNzA3MDU2OQ |
| imprint | MDPI AG, 2019 |
| imprint_str_mv | MDPI AG, 2019 |
| institution | DE-Zi4, DE-Gla1, DE-15, DE-Pl11, DE-Rs1, DE-14, DE-105, DE-Ch1, DE-L229, DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161 |
| issn | 2227-7390 |
| issn_str_mv | 2227-7390 |
| language | English |
| last_indexed | 2024-03-01T15:55:27.858Z |
| match_str | 2019solvingfuzzylinearprogrammingproblemswithfuzzydecisionvariables |
| mega_collection | MDPI AG (CrossRef) |
| physical | 569 |
| publishDate | 2019 |
| publishDateSort | 2019 |
| publisher | MDPI AG |
| record_format | ai |
| recordtype | ai |
| series | Mathematics |
| source_id | 49 |
| spelling | Wu 2227-7390 MDPI AG General Mathematics Engineering (miscellaneous) Computer Science (miscellaneous) http://dx.doi.org/10.3390/math7070569 <jats:p>The numerical method for solving the fuzzy linear programming problems with fuzzydecision variables is proposed in this paper. The difficulty for solving this kind of problem is thatthe decision variables are assumed to be nonnegative fuzzy numbers instead of nonnegative realnumbers. In other words, the decision variables are assumed to be membership functions. One of thepurposes of this paper is to derive the analytic formula of error estimation regarding the approximateoptimal solution. On the other hand, the existence of optimal solutions is also studied in this paper.Finally we present two numerical examples to demonstrate the usefulness of the numerical method.</jats:p> Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables Mathematics |
| spellingShingle | Wu, Mathematics, Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables, General Mathematics, Engineering (miscellaneous), Computer Science (miscellaneous) |
| title | Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables |
| title_full | Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables |
| title_fullStr | Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables |
| title_full_unstemmed | Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables |
| title_short | Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables |
| title_sort | solving fuzzy linear programming problems with fuzzy decision variables |
| title_unstemmed | Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables |
| topic | General Mathematics, Engineering (miscellaneous), Computer Science (miscellaneous) |
| url | http://dx.doi.org/10.3390/math7070569 |