MATHEMATICAL SOLUTION OF MULTILEVEL FRACTIONAL PROGRAMMING PROBLEM WITH FUZZY GOAL PROGRAMMING APPROACH

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LACHHWANI KAILASH; PRASAD POONIA MAHAVEER

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Journal Paper

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Journal: JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL Year:2012 | Volume:8 | Issue:8 Page(s): 1-11

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Title

MATHEMATICAL SOLUTION OF MULTILEVEL FRACTIONAL PROGRAMMING PROBLEM WITH FUZZY GOAL PROGRAMMING APPROACH

Author(s)

LACHHWANI KAILASH | PRASAD POONIA MAHAVEER | Issue Writer Certificate

Keywords

MULTILEVEL FRACTIONAL PROGRAMMING

FUZZY GOAL PROGRAMMING

MEMBERSHIP FUNCTION

TOLERANCE VALUES

Abstract

In this paper, we show a procedure for solving MULTILEVEL FRACTIONAL PROGRAMMING problems in a large hierarchical decentralized organization using FUZZY GOAL PROGRAMMING approach. In the proposed method, the tolerance MEMBERSHIP FUNCTIONs for the fuzzily described numerator and denominator part of the objective functions of all levels as well as the control vectors of the higher level decision makers are respectively defined by determining individual optimal solutions of each of the level decision makers. A possible relaxation of the higher level decision is considered for avoiding decision deadlock due to the conflicting nature of objective functions. Then, FUZZY GOAL PROGRAMMING approach is used for achieving the highest degree of each of the membership goal by minimizing negative deviational variables. We also provide sensitivity analysis with variation of TOLERANCE VALUES on decision vectors to show how the solution is sensitive to the change of TOLERANCE VALUES with the help of a numerical example.

Cites

MODIFIED FGP APPROACH AND MATLAB PROGRAM FOR SOLVING MULTI-LEVEL LINEAR FRACTIONAL PROGRAMMING PROBLEMS

References

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APA: Copy

LACHHWANI, KAILASH, & PRASAD POONIA, MAHAVEER. (2012). MATHEMATICAL SOLUTION OF MULTILEVEL FRACTIONAL PROGRAMMING PROBLEM WITH FUZZY GOAL PROGRAMMING APPROACH. JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL, 8(8), 1-11. SID. https://sid.ir/paper/309893/en

Vancouver: Copy

LACHHWANI KAILASH, PRASAD POONIA MAHAVEER. MATHEMATICAL SOLUTION OF MULTILEVEL FRACTIONAL PROGRAMMING PROBLEM WITH FUZZY GOAL PROGRAMMING APPROACH. JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL[Internet]. 2012;8(8):1-11. Available from: https://sid.ir/paper/309893/en

IEEE: Copy

KAILASH LACHHWANI, and MAHAVEER PRASAD POONIA, “MATHEMATICAL SOLUTION OF MULTILEVEL FRACTIONAL PROGRAMMING PROBLEM WITH FUZZY GOAL PROGRAMMING APPROACH,” JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL, vol. 8, no. 8, pp. 1–11, 2012, [Online]. Available: https://sid.ir/paper/309893/en

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