Dergiler / International Journal of Engineering Technologies / 2017 / Cilt: 3 - Sayı: 4

Interactive Fuzzy Decision Making Algorithm for Two Level Linear Fractional Programming Problems

Sayfa
222–229
Yayın Tarihi
2017-12-13
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, a numerical example is given to illustrate the performance of the presented algorithm.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper offers an interactive fuzzy decision-making algorithm for solving two-level linear fractional programming (TLLFP) problem which contains a single decision maker at the upper level and multiple decision makers at the lower level.
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Temel Bulgular & Veri:In the presented interactive mechanism, the fuzzy goals and associated weight of the objective at all levels are first determined and the satisfactory solution is attained by renewing the satisfactory degrees of decision makers including the overall satisfactory balance among all levels.
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Sonuç & Katkı:Finally, a numerical example is given to illustrate the performance of the presented algorithm.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Two level linear fractional programming problem · Fuzzy goals · Fuzzy programming

Abstract

This paper offers an interactive fuzzy decision-making algorithm for solving two-level linear fractional programming (TLLFP) problem which contains a single decision maker at the upper level and multiple decision makers at the lower level. In the presented interactive mechanism, the fuzzy goals and associated weight of the objective at all levels are first determined and the satisfactory solution is attained by renewing the satisfactory degrees of decision makers including the overall satisfactory balance among all levels. Moreover, the value of distance function is used in order to verify the satisfaction grades. Finally, a numerical example is given to illustrate the performance of the presented algorithm.

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Bu Makaleye Atıf Yap

Dalman, H. (2017). Interactive Fuzzy Decision Making Algorithm for Two Level Linear Fractional Programming Problems. International Journal of Engineering Technologies, Cilt: 3 - Sayı: 4, 222–229. https://ajindex.com/articles/766949

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Kaynakça (6)

  1. Bracken J & McGill JM. (1973). Mathematical programs with optimization problems in the constraints. Operational Research, 21, 37–44. Bracken J & McGill JM. (1974). Defense applications of mathematical programs with optimization problem in the constraints. Operations Research, 22,1086–1096. Aiyoshi E & Shimizu K (1981). Hierarchical decentralized systems and its new solution by a barrier method. IEEE Transactions on Systems, Man, and Cybernetics,11(6), 444–449. Anandalingam G & Apprey V (1991). Multi-level programming and conflict resolution. European Journal of Operational Research, 51, 233–247. Ben-Ayed O & Blair CE (1990). Computational difficulties of bilevel linear programming. Operations Research, 38, 556–560.
  2. Candler, W & Towersley R (1982). A linear two-level programming problem. Computers and Operations Research, 9, 59–76. Bialas WF & Karwan MH (1984). Two-level linear programming. Management Science, 30, 1004–1020. Bard J& Falk J (1982). An explicit solution to the multi-level programming problem. Computers and Operations Research, 9, 77–100. Savard G & Gauvin J (1994). The steepest descent direction for the nonlinear bilevel programming problem. Operations Research Letters, 15, 275–282.
  3. Liu B (1998). Stackelberg–Nash equilibrium for multilevel programming with multiple followers using genetic algorithms. Computers & Mathematics with Applications, 36(7), 79–89. Gao J & Liu B (2005). Fuzzy multilevel programming with a hybrid intelligent algorithm. Computers & Mathematics with Applications, 49(9-10), 1539–1548
  4. Lai YJ (1996). Hierarchical optimization: a satisfactory solution. Fuzzy Sets and Systems, 77(3), 321-335. Ahlatcioglu M & Tiryaki F (2007). Interactive fuzzy programming for decentralized two-level linear fractional programming (DTLLFP) problems. Omega, 35(4), 432-450.
  5. Shih HS, Lai YJ & Lee ES (1996). Fuzzy approach for multi-level programming problems. Computer & Operations Research, 23, 73–91. Shih HS & Lee ES (2000). Compensatory fuzzy multiple level decision making. Fuzzy Sets and Systems, 114(1), 71-87.
  6. Sakawa M, Nishizaki I & Uemura Y (2000). Interactive fuzzy programming for two-level linear fractional programming problems with fuzzy parameters. Fuzzy Sets and Systems, 115(1), 93-103. Sakawa M & Nishizaki I (2001). Interactive fuzzy programming for two-level linear fractional programming problems. Fuzzy Sets and Systems, 119(1), 31-40. Sakawa M & Nishizaki I (2002). Interactive fuzzy programming for two-level nonconvex programming pro