A SATISFYING SOLUTION FOR MULTI-LEVEL PROGRAMMING PROBLEM

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SAATI SABER; MEMARIANI A.; JAHANSHAHLOU GHOLAM REZA; HEJAZI S.R.

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ISSN: 2588-4824

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Journal: JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY) Year:2001 | Volume:11 | Issue:39 Page(s): 2872-2873

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Title

A SATISFYING SOLUTION FOR MULTI-LEVEL PROGRAMMING PROBLEM

Author(s)

SAATI SABER | MEMARIANI A. | JAHANSHAHLOU GHOLAM REZA | HEJAZI S.R. | Issue Writer Certificate

Keywords

MULTI-LEVEL PROGRAMMINGQ4

FUZZY PROGRAMMINGQ2

FUZZY GOALQ4

MULTI OBJECTIVE PROGRAMMINGQ4

Abstract

This paper presents an approach for linear MULTI-LEVEL PROGRAMMING problems (MLPP) based on FUZZY PROGRAMMING and MULTI OBJECTIVE PROGRAMMING. In FUZZY PROGRAMMING for linear MLPP, is recently developed by Lai (1996) and Shih et al. (1996), undesirable solutions are produced when determined FUZZY GOALs for objective functions and decision variables at the upper level are inconsistent. In our method, by considering the tolerances of upper levels decision variable and all objective functions as variable, a linear MLPP is formulated as a nonlinear multi-objective programming problem. Thus, without using FUZZY GOALs, the proposed approach will not increase the complexities of original problems and will solve a nonlinear MLPP in a single iteration. To demonstrate the concept, a numerical example is solved and its solution is compared with other classical methods.

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APA: Copy

SAATI, SABER, MEMARIANI, A., JAHANSHAHLOU, GHOLAM REZA, & HEJAZI, S.R.. (2001). A SATISFYING SOLUTION FOR MULTI-LEVEL PROGRAMMING PROBLEM. JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY), 11(39), 2872-2873. SID. https://sid.ir/paper/70267/en

Vancouver: Copy

SAATI SABER, MEMARIANI A., JAHANSHAHLOU GHOLAM REZA, HEJAZI S.R.. A SATISFYING SOLUTION FOR MULTI-LEVEL PROGRAMMING PROBLEM. JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY)[Internet]. 2001;11(39):2872-2873. Available from: https://sid.ir/paper/70267/en

IEEE: Copy

SABER SAATI, A. MEMARIANI, GHOLAM REZA JAHANSHAHLOU, and S.R. HEJAZI, “A SATISFYING SOLUTION FOR MULTI-LEVEL PROGRAMMING PROBLEM,” JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY), vol. 11, no. 39, pp. 2872–2873, 2001, [Online]. Available: https://sid.ir/paper/70267/en

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