A goal programming procedure for fuzzy multiobjective linear fractional programming problem
This paper presents a goal programming (GP) procedure for fuzzy multiobjective linear fractional programming (FMOLFP) problems. In the proposed approach, which is motivated by Mohamed (Fuzzy Sets and Systems 89 (1997) 215), GP model for achievement of the highest membership value of each of fuzzy go...
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| Vydané v: | Fuzzy sets and systems Ročník 139; číslo 2; s. 395 - 405 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier B.V
16.10.2003
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| ISSN: | 0165-0114, 1872-6801 |
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| Abstract | This paper presents a goal programming (GP) procedure for fuzzy multiobjective linear fractional programming (FMOLFP) problems.
In the proposed approach, which is motivated by Mohamed (Fuzzy Sets and Systems 89 (1997) 215), GP model for achievement of the highest membership value of each of fuzzy goals defined for the fractional objectives is formulated. In the solution process, the method of variable change on the under- and over- deviational variables of the membership goals associated with the fuzzy goals of the model is introduced to solve the problem efficiently by using linear goal programming (LGP) methodology. The approach is illustrated by two numerical examples. |
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| AbstractList | This paper presents a goal programming (GP) procedure for fuzzy multiobjective linear fractional programming (FMOLFP) problems.
In the proposed approach, which is motivated by Mohamed (Fuzzy Sets and Systems 89 (1997) 215), GP model for achievement of the highest membership value of each of fuzzy goals defined for the fractional objectives is formulated. In the solution process, the method of variable change on the under- and over- deviational variables of the membership goals associated with the fuzzy goals of the model is introduced to solve the problem efficiently by using linear goal programming (LGP) methodology. The approach is illustrated by two numerical examples. |
| Author | Maulik, U. Pal, B.B. Moitra, B.N. |
| Author_xml | – sequence: 1 givenname: B.B. surname: Pal fullname: Pal, B.B. email: bbpalkln@vsnl.net organization: Department of Mathematics, Faculty of Science, University of Kalyani, Kalyani 741235, West Bengal, India – sequence: 2 givenname: B.N. surname: Moitra fullname: Moitra, B.N. organization: Department of Mathematics, Faculty of Science, University of Kalyani, Kalyani 741235, West Bengal, India – sequence: 3 givenname: U. surname: Maulik fullname: Maulik, U. organization: Kalyani Govt. Engineering College, Kalyani 741235, India |
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| Keywords | Linear goal programming Fuzzy goal programming Fuzzy programming Multiobjective linear fractional programming Fuzzy multiobjective linear fractional programming Goal programming |
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Quart. doi: 10.1002/nav.3800090303 – volume: 27 start-page: 1024 year: 1981 ident: 10.1016/S0165-0114(02)00374-3_BIB13 article-title: Multiple objective linear fractional programming publication-title: Management Sci. doi: 10.1287/mnsc.27.9.1024 – year: 1979 ident: 10.1016/S0165-0114(02)00374-3_BIB11 – ident: 10.1016/S0165-0114(02)00374-3_BIB2 – ident: 10.1016/S0165-0114(02)00374-3_BIB12 |
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| Snippet | This paper presents a goal programming (GP) procedure for fuzzy multiobjective linear fractional programming (FMOLFP) problems.
In the proposed approach, which... |
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| StartPage | 395 |
| SubjectTerms | Fuzzy goal programming Fuzzy multiobjective linear fractional programming Fuzzy programming Goal programming Linear goal programming Multiobjective linear fractional programming |
| Title | A goal programming procedure for fuzzy multiobjective linear fractional programming problem |
| URI | https://dx.doi.org/10.1016/S0165-0114(02)00374-3 |
| Volume | 139 |
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