Multidimensional solution of fuzzy linear programming
There are several approaches to address fuzzy linear programming problems (FLPP). However, due to using standard interval arithmetic (SIA), these methods have some limitations and are not complete solutions. This article establishes a new approach to fuzzy linear programming via the theory of horizo...
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| Format: | Article |
| Language: | English |
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PeerJ Inc.
2023-11-01
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| Series: | PeerJ Computer Science |
| Subjects: | |
| Online Access: | https://peerj.com/articles/cs-1646.pdf |
| _version_ | 1797592298626744320 |
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| author | Seyyed Ahmad Edalatpanah |
| author_facet | Seyyed Ahmad Edalatpanah |
| author_sort | Seyyed Ahmad Edalatpanah |
| collection | DOAJ |
| description | There are several approaches to address fuzzy linear programming problems (FLPP). However, due to using standard interval arithmetic (SIA), these methods have some limitations and are not complete solutions. This article establishes a new approach to fuzzy linear programming via the theory of horizontal membership functions and the multidimensional relative-distance-measure fuzzy interval arithmetic. Furthermore, we propose a multidimensional solution based on the primal Simplex approach that satisfies any equivalent form of FLPP. The new solutions of FLPP are also compared with the results of existing methods. Some numerical examples have been illustrated to show the efficiency of the proposed method. |
| first_indexed | 2024-03-11T01:49:17Z |
| format | Article |
| id | doaj.art-a4725e65f4974fb28e2592d83e2b2aa6 |
| institution | Directory Open Access Journal |
| issn | 2376-5992 |
| language | English |
| last_indexed | 2024-03-11T01:49:17Z |
| publishDate | 2023-11-01 |
| publisher | PeerJ Inc. |
| record_format | Article |
| series | PeerJ Computer Science |
| spelling | doaj.art-a4725e65f4974fb28e2592d83e2b2aa62023-11-18T15:05:08ZengPeerJ Inc.PeerJ Computer Science2376-59922023-11-019e164610.7717/peerj-cs.1646Multidimensional solution of fuzzy linear programmingSeyyed Ahmad Edalatpanah0Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Mazandaran, IranThere are several approaches to address fuzzy linear programming problems (FLPP). However, due to using standard interval arithmetic (SIA), these methods have some limitations and are not complete solutions. This article establishes a new approach to fuzzy linear programming via the theory of horizontal membership functions and the multidimensional relative-distance-measure fuzzy interval arithmetic. Furthermore, we propose a multidimensional solution based on the primal Simplex approach that satisfies any equivalent form of FLPP. The new solutions of FLPP are also compared with the results of existing methods. Some numerical examples have been illustrated to show the efficiency of the proposed method.https://peerj.com/articles/cs-1646.pdfFuzzy linear programmingRDM arithmeticHorizontal fuzzy numberFuzzy optimal solutionGranular computing |
| spellingShingle | Seyyed Ahmad Edalatpanah Multidimensional solution of fuzzy linear programming PeerJ Computer Science Fuzzy linear programming RDM arithmetic Horizontal fuzzy number Fuzzy optimal solution Granular computing |
| title | Multidimensional solution of fuzzy linear programming |
| title_full | Multidimensional solution of fuzzy linear programming |
| title_fullStr | Multidimensional solution of fuzzy linear programming |
| title_full_unstemmed | Multidimensional solution of fuzzy linear programming |
| title_short | Multidimensional solution of fuzzy linear programming |
| title_sort | multidimensional solution of fuzzy linear programming |
| topic | Fuzzy linear programming RDM arithmetic Horizontal fuzzy number Fuzzy optimal solution Granular computing |
| url | https://peerj.com/articles/cs-1646.pdf |
| work_keys_str_mv | AT seyyedahmadedalatpanah multidimensionalsolutionoffuzzylinearprogramming |