Interactive goal programming algorithm with Taylor series and interval type 2 fuzzy numbers
Yükleniyor...
Tarih
2019-06-01
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Nature
Erişim Hakkı
info:eu-repo/semantics/embargoedAccess
Attribution-NonCommercial-ShareAlike 3.0 United States
Attribution-NonCommercial-ShareAlike 3.0 United States
Özet
This paper presents an interactive fuzzy goal programming (FGP) approach for solving Multiobjective Nonlinear Programming Problems (MONLPP) with interval type 2 fuzzy numbers (IT2 FNs). The cost and time of the objective functions, and the requirements of each kind of resources are taken to be trapezoidal IT2 FNs. Here, the considered fuzzy problem is first transformed into an equivalent crisp MONLPP, and then the MONLPP is converted into an equivalent multiobjective linear programming problem (MOLPP). By using an algorithm based on Taylor series, this problem is also reduced into a single objective linear programming problem (LPP) which can be easily solved by Maple 2017 optimization toolbox. Finally, the proposed solution procedure is illustrated by a numerical example.
Açıklama
Anahtar Kelimeler
Fuzzy Goals, Interactive Mechanism, Interval type 2 Fuzzy Sets, Multiobjective Nonlinear Programming, Taylor Series
Kaynak
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
10
Sayı
6
Künye
Dalman, H., Bayram, M. (2019). Interactive goal programming algorithm with Taylor series and interval type 2 fuzzy numbers. International Journal of Machine Learning and Cybernetics, 10 (6), pp. 1563-1579. https://dx.doi.org/10.1007/s13042-018-0835-4
