Toward characterizing solutions to complex programming problems involving fuzzy parameters in constraints
The current study investigates to characterize the Complex Programming Problem (CPP) solution in a fuzzy environment. The paper is divided into two parts: 1) the first presents a Fuzzy Complex Programming Problem (F-CPP) with fuzzy complex constraints, and 2) the second presents the optimality crite...
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| Format: | Article |
| Language: | English |
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Ayandegan Institute of Higher Education,
2024-03-01
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| Series: | International Journal of Research in Industrial Engineering |
| Subjects: | |
| Online Access: | https://www.riejournal.com/article_192441_f558e8bf5de10e30b20c1b0d5aa5926f.pdf |
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| author | Hamiden Khalifa Dragan Pamučar Seyyed Edalatpanah |
| author_facet | Hamiden Khalifa Dragan Pamučar Seyyed Edalatpanah |
| author_sort | Hamiden Khalifa |
| collection | DOAJ |
| description | The current study investigates to characterize the Complex Programming Problem (CPP) solution in a fuzzy environment. The paper is divided into two parts: 1) the first presents a Fuzzy Complex Programming Problem (F-CPP) with fuzzy complex constraints, and 2) the second presents the optimality criteria using the fuzzy complex cone. The CPP is suggested by involving fuzzy numbers in the constraints in parts. Using the cut set concepts, the problem is converted into the complex programming. A number of basic theorems with proofs are established concerning the basic results for the fuzzy complex set of solutions for the F-CPP, and the optimality criteria of the saddle point for F-CPP with fuzzy cones is derived. |
| format | Article |
| id | doaj-art-b020f7dd17d2429785caf7af78f78d4d |
| institution | Kabale University |
| issn | 2783-1337 2717-2937 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | Ayandegan Institute of Higher Education, |
| record_format | Article |
| series | International Journal of Research in Industrial Engineering |
| spelling | doaj-art-b020f7dd17d2429785caf7af78f78d4d2025-01-30T15:10:09ZengAyandegan Institute of Higher Education,International Journal of Research in Industrial Engineering2783-13372717-29372024-03-01131627010.22105/riej.2024.447897.1427192441Toward characterizing solutions to complex programming problems involving fuzzy parameters in constraintsHamiden Khalifa0Dragan Pamučar1Seyyed Edalatpanah2Department of Operations Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, Egypt.Faculty of Organizational Sciences, University of Belgrade, Belgrade, Serbia.Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran.The current study investigates to characterize the Complex Programming Problem (CPP) solution in a fuzzy environment. The paper is divided into two parts: 1) the first presents a Fuzzy Complex Programming Problem (F-CPP) with fuzzy complex constraints, and 2) the second presents the optimality criteria using the fuzzy complex cone. The CPP is suggested by involving fuzzy numbers in the constraints in parts. Using the cut set concepts, the problem is converted into the complex programming. A number of basic theorems with proofs are established concerning the basic results for the fuzzy complex set of solutions for the F-CPP, and the optimality criteria of the saddle point for F-CPP with fuzzy cones is derived.https://www.riejournal.com/article_192441_f558e8bf5de10e30b20c1b0d5aa5926f.pdfcomplex programmingfuzzy numbersα-cut setkuhn-tucker's optimality conditionssaddle pointconeduality |
| spellingShingle | Hamiden Khalifa Dragan Pamučar Seyyed Edalatpanah Toward characterizing solutions to complex programming problems involving fuzzy parameters in constraints International Journal of Research in Industrial Engineering complex programming fuzzy numbers α-cut set kuhn-tucker's optimality conditions saddle point cone duality |
| title | Toward characterizing solutions to complex programming problems involving fuzzy parameters in constraints |
| title_full | Toward characterizing solutions to complex programming problems involving fuzzy parameters in constraints |
| title_fullStr | Toward characterizing solutions to complex programming problems involving fuzzy parameters in constraints |
| title_full_unstemmed | Toward characterizing solutions to complex programming problems involving fuzzy parameters in constraints |
| title_short | Toward characterizing solutions to complex programming problems involving fuzzy parameters in constraints |
| title_sort | toward characterizing solutions to complex programming problems involving fuzzy parameters in constraints |
| topic | complex programming fuzzy numbers α-cut set kuhn-tucker's optimality conditions saddle point cone duality |
| url | https://www.riejournal.com/article_192441_f558e8bf5de10e30b20c1b0d5aa5926f.pdf |
| work_keys_str_mv | AT hamidenkhalifa towardcharacterizingsolutionstocomplexprogrammingproblemsinvolvingfuzzyparametersinconstraints AT draganpamucar towardcharacterizingsolutionstocomplexprogrammingproblemsinvolvingfuzzyparametersinconstraints AT seyyededalatpanah towardcharacterizingsolutionstocomplexprogrammingproblemsinvolvingfuzzyparametersinconstraints |